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Volume 115, Issue 1

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[title in Japanese]

Article type: Cover
2007 Volume 115 Issue 1 Pages Cover1-
Published: April 20, 2007
Released on J-STAGE: October 02, 2017

DOIhttps://doi.org/10.24532/soken.115.1_Cover1

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[title in Japanese]

Article type: Appendix
2007 Volume 115 Issue 1 Pages App1-
Published: April 20, 2007
Released on J-STAGE: October 02, 2017

DOIhttps://doi.org/10.24532/soken.115.1_App1

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[title in Japanese]

Article type: Appendix
2007 Volume 115 Issue 1 Pages A1-A4
Published: April 20, 2007
Released on J-STAGE: October 02, 2017

DOIhttps://doi.org/10.24532/soken.115.1_A1

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[title in Japanese]

Article type: Appendix
2007 Volume 115 Issue 1 Pages A5-A10
Published: April 20, 2007
Released on J-STAGE: October 02, 2017

DOIhttps://doi.org/10.24532/soken.115.1_A5

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Integer quantum Hall effect and quantum spin Hall effect in graphene(Fundamental Problems and Applications of Quantum Field Theory-Topological Aspects of Quantum Field Theory-)

Takahiro Fukui

Article type: Article
2007 Volume 115 Issue 1 Pages A11-A12
Published: April 20, 2007
Released on J-STAGE: October 02, 2017

DOIhttps://doi.org/10.24532/soken.115.1_A11

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Topological numbers are known to play a crucial role in charactering various phases in low dimensional systems. A typical example is the integer quantum Hall effect (IQHE) where quantized Hall conductances are given by Chern numbers [1]. One topic we will present below is unconventional IQHE recently observed experimentally in graphene, i.e., a single sheet of graphite. What is interesting here is that the honeycomb lattice structure yields a Dirac-like dispersion relation which gives an unconventional quantization rule to the Hall conductances [2, 3]. Namely, Dirac particles are indeed realized, which enables us to directly observe the Dirac Landau quantized levels in condensed matter physics. Another topic concerns a new class of topological insulating phases. The IQHE state at each plateau, where the Fermi energy lies in a gap between Landau levels, can be considered as a topological insulator characterized by the Chern number. Here, broken time-reversal symmetry due to external magnetic fields plays a role in topological properties of IQHE. Actually, without magnetic fields, the system recovers time-reversal symmetry and then, Hall conductance vanishes, telling that such systems are topologically trivial. However, it is incorrect [4, 5]: Even without magnetic fields, insulators can be topologically nontrivial due to spin-orbit couplings. In such systems with time reversal symmetry, quantum spin Hall effect (QSHE), a spin-related version of IQHE, could occur and the groundstate is classified by Z_2 invariants.

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SUSY Quantum Hall Effect and Its Effective Field Theory(Fundamental Problems and Applications of Quantum Field Theory-Topological Aspects of Quantum Field Theory-)

Kazuki Hasebe

Article type: Article
2007 Volume 115 Issue 1 Pages A13-
Published: April 20, 2007
Released on J-STAGE: October 02, 2017

DOIhttps://doi.org/10.24532/soken.115.1_A13

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Non-commutative quantum mechanics and deformation quantization in condensed-matter physics(Fundamental Problems and Applications of Quantum Field Theory-Topological Aspects of Quantum Field Theory-)

Shigeki Onoda

Article type: Article
2007 Volume 115 Issue 1 Pages A14-A15
Published: April 20, 2007
Released on J-STAGE: October 02, 2017

DOIhttps://doi.org/10.24532/soken.115.1_A14

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Critical fluctuations of dynamical events in slow relaxation systems : kink dynamics with a fictitious time(Fundamental Problems and Applications of Quantum Field Theory-Topological Aspects of Quantum Field Theory-)

Mami Iwata, Shin-ichi Sasa

Article type: Article
2007 Volume 115 Issue 1 Pages A16-
Published: April 20, 2007
Released on J-STAGE: October 02, 2017

DOIhttps://doi.org/10.24532/soken.115.1_A16

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Glueball mass from quantized knot solitons and gauge-invariant gluon mass(Fundamental Problems and Applications of Quantum Field Theory-Topological Aspects of Quantum Field Theory-)

Akihito Ono

Article type: Article
2007 Volume 115 Issue 1 Pages A17-
Published: April 20, 2007
Released on J-STAGE: October 02, 2017

DOIhttps://doi.org/10.24532/soken.115.1_A17

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Regular DGP branes with skyrmion cores(Fundamental Problems and Applications of Quantum Field Theory-Topological Aspects of Quantum Field Theory-)

Noriko Shiiki, J. J. Blanco-Pillado, N. Sawado

Article type: Article
2007 Volume 115 Issue 1 Pages A18-A19
Published: April 20, 2007
Released on J-STAGE: October 02, 2017

DOIhttps://doi.org/10.24532/soken.115.1_A18

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Cosmological Defect Production and their Applications(Fundamental Problems and Applications of Quantum Field Theory-Topological Aspects of Quantum Field Theory-)

Michiyasu NAGASAWA

Article type: Article
2007 Volume 115 Issue 1 Pages A20-A21
Published: April 20, 2007
Released on J-STAGE: October 02, 2017

DOIhttps://doi.org/10.24532/soken.115.1_A20

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D-term inflation with suppressed cosmic strings' tension(Fundamental Problems and Applications of Quantum Field Theory-Topological Aspects of Quantum Field Theory-)

Osamu Seto, Jun'ichi Yokoyama

Article type: Article
2007 Volume 115 Issue 1 Pages A22-
Published: April 20, 2007
Released on J-STAGE: October 02, 2017

DOIhttps://doi.org/10.24532/soken.115.1_A22

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Black holes-domain walls collisions as a solution to the cosmological domain wall problem(Fundamental Problems and Applications of Quantum Field Theory-Topological Aspects of Quantum Field Theory-)

Antonio Flachi, Takahiro Tanaka

Article type: Article
2007 Volume 115 Issue 1 Pages A23-A24
Published: April 20, 2007
Released on J-STAGE: October 02, 2017

DOIhttps://doi.org/10.24532/soken.115.1_A23

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We study the collision of a brane with a black hole and discuss the potential relevance that such a process may have as a solution to the cosmological domain wall problem.

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Effective action of Domain Wall Networks(Fundamental Problems and Applications of Quantum Field Theory-Topological Aspects of Quantum Field Theory-)

Takayuki Nagashima

Article type: Article
2007 Volume 115 Issue 1 Pages A25-
Published: April 20, 2007
Released on J-STAGE: October 02, 2017

DOIhttps://doi.org/10.24532/soken.115.1_A25

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D-branes and Solitons in Gauge Theories(Fundamental Problems and Applications of Quantum Field Theory-Topological Aspects of Quantum Field Theory-)

Koji Hashimoto

Article type: Article
2007 Volume 115 Issue 1 Pages A26-A27
Published: April 20, 2007
Released on J-STAGE: October 02, 2017

DOIhttps://doi.org/10.24532/soken.115.1_A26

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This is a review talk to show how techniques using D-branes in string theory are powerful and useful in analyzing and studying solitons in various gauge theories.

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Solitons in Supersymmety Breaking Meta-Stable Vacua(Fundamental Problems and Applications of Quantum Field Theory-Topological Aspects of Quantum Field Theory-)

Minoru Eto

Article type: Article
2007 Volume 115 Issue 1 Pages A28-
Published: April 20, 2007
Released on J-STAGE: October 02, 2017

DOIhttps://doi.org/10.24532/soken.115.1_A28

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Complex sine-Gordon solitons vs. magnon boundstates in AdS/CFT(Fundamental Problems and Applications of Quantum Field Theory-Topological Aspects of Quantum Field Theory-)

Keisuke Okamura

Article type: Article
2007 Volume 115 Issue 1 Pages A29-
Published: April 20, 2007
Released on J-STAGE: October 02, 2017

DOIhttps://doi.org/10.24532/soken.115.1_A29

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Phase Transitions of Large N Orbifold Gauge Theories(Fundamental Problems and Applications of Quantum Field Theory-Topological Aspects of Quantum Field Theory-)

Yasuaki Hikida

Article type: Article
2007 Volume 115 Issue 1 Pages A30-
Published: April 20, 2007
Released on J-STAGE: October 02, 2017

DOIhttps://doi.org/10.24532/soken.115.1_A30

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Toric Tri-Sasakian Manifolds and N=3 Conformal Field Theories in Three Dimensions(Fundamental Problems and Applications of Quantum Field Theory-Topological Aspects of Quantum Field Theory-)

Ho-Ung Yee

Article type: Article
2007 Volume 115 Issue 1 Pages A31-A32
Published: April 20, 2007
Released on J-STAGE: October 02, 2017

DOIhttps://doi.org/10.24532/soken.115.1_A31

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Topological aspects of color superconductivity(Fundamental Problems and Applications of Quantum Field Theory-Topological Aspects of Quantum Field Theory-)

Eiji Nakano

Article type: Article
2007 Volume 115 Issue 1 Pages A33-A34
Published: April 20, 2007
Released on J-STAGE: October 02, 2017

DOIhttps://doi.org/10.24532/soken.115.1_A33

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Non-abelian duality from vortex moduli(Fundamental Problems and Applications of Quantum Field Theory-Topological Aspects of Quantum Field Theory-)

Naoto Yokoi

Article type: Article
2007 Volume 115 Issue 1 Pages A35-
Published: April 20, 2007
Released on J-STAGE: October 02, 2017

DOIhttps://doi.org/10.24532/soken.115.1_A35

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Bose statistics as a cause of vortices(Fundamental Problems and Applications of Quantum Field Theory-Topological Aspects of Quantum Field Theory-)

Shun-iciro Koh

Article type: Article
2007 Volume 115 Issue 1 Pages A36-
Published: April 20, 2007
Released on J-STAGE: October 02, 2017

DOIhttps://doi.org/10.24532/soken.115.1_A36

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Statistical Mechanics of Vortices(Fundamental Problems and Applications of Quantum Field Theory-Topological Aspects of Quantum Field Theory-)

Toshiaki Fujimori

Article type: Article
2007 Volume 115 Issue 1 Pages A37-
Published: April 20, 2007
Released on J-STAGE: October 02, 2017

DOIhttps://doi.org/10.24532/soken.115.1_A37

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Ginzburg-Landau Theory of Unconventional Superconductors : Lattice Gauge Models Coupled with Dual Gauge Fields(Fundamental Problems and Applications of Quantum Field Theory-Topological Aspects of Quantum Field Theory-)

Ikuo Ichinose

Article type: Article
2007 Volume 115 Issue 1 Pages A38-
Published: April 20, 2007
Released on J-STAGE: October 02, 2017

DOIhttps://doi.org/10.24532/soken.115.1_A38

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Topological order and fractionalization(Fundamental Problems and Applications of Quantum Field Theory-Topological Aspects of Quantum Field Theory-)

Masaki Oshikawa

Article type: Article
2007 Volume 115 Issue 1 Pages A39-A40
Published: April 20, 2007
Released on J-STAGE: October 02, 2017

DOIhttps://doi.org/10.24532/soken.115.1_A39

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Braid Group, Gauge Invariance and Topological Order(Fundamental Problems and Applications of Quantum Field Theory-Topological Aspects of Quantum Field Theory-)

Masatoshi Sato

Article type: Article
2007 Volume 115 Issue 1 Pages A41-
Published: April 20, 2007
Released on J-STAGE: October 02, 2017

DOIhttps://doi.org/10.24532/soken.115.1_A41

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Topological Berry phase terms for spin systems in arbitrary dimensions(Fundamental Problems and Applications of Quantum Field Theory-Topological Aspects of Quantum Field Theory-)

Akihiro Tanaka

Article type: Article
2007 Volume 115 Issue 1 Pages A42-
Published: April 20, 2007
Released on J-STAGE: October 02, 2017

DOIhttps://doi.org/10.24532/soken.115.1_A42

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Fiber bundles and matrix models(Fundamental Problems and Applications of Quantum Field Theory-Topological Aspects of Quantum Field Theory-)

Asato Tsuchiya

Article type: Article
2007 Volume 115 Issue 1 Pages A43-
Published: April 20, 2007
Released on J-STAGE: October 02, 2017

DOIhttps://doi.org/10.24532/soken.115.1_A43

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Partition Functions of Toy Matrix Models(Fundamental Problems and Applications of Quantum Field Theory-Topological Aspects of Quantum Field Theory-)

Hironobu Kihara

Article type: Article
2007 Volume 115 Issue 1 Pages A44-
Published: April 20, 2007
Released on J-STAGE: October 02, 2017

DOIhttps://doi.org/10.24532/soken.115.1_A44

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Deformed SYM Theory in R-R Background(Fundamental Problems and Applications of Quantum Field Theory-Topological Aspects of Quantum Field Theory-)

Shin Sasaki

Article type: Article
2007 Volume 115 Issue 1 Pages A45-
Published: April 20, 2007
Released on J-STAGE: October 02, 2017

DOIhttps://doi.org/10.24532/soken.115.1_A45

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50 years of Utiyama's paper(Fundamental Problems and Applications of Quantum Field Theory-Topological Aspects of Quantum Field Theory-)

Kazuo Fujikawa

Article type: Article
2007 Volume 115 Issue 1 Pages A46-A47
Published: April 20, 2007
Released on J-STAGE: October 02, 2017

DOIhttps://doi.org/10.24532/soken.115.1_A46

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Topology in lattice QCD(Fundamental Problems and Applications of Quantum Field Theory-Topological Aspects of Quantum Field Theory-)

Hidenori Fukaya

Article type: Article
2007 Volume 115 Issue 1 Pages A48-
Published: April 20, 2007
Released on J-STAGE: October 02, 2017

DOIhttps://doi.org/10.24532/soken.115.1_A48

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Lattice Formulation of Two Dimensional Topological Field Theory(Fundamental Problems and Applications of Quantum Field Theory-Topological Aspects of Quantum Field Theory-)

Kazutoshi Ohta

Article type: Article
2007 Volume 115 Issue 1 Pages A49-
Published: April 20, 2007
Released on J-STAGE: October 02, 2017

DOIhttps://doi.org/10.24532/soken.115.1_A49

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Hermiticity and Majorana condition for two-dimensional super Yang-Mills on a lattice with Dirac-Kahler twist(Fundamental Problems and Applications of Quantum Field Theory-Topological Aspects of Quantum Field Theory-)

Issaku KANAMORI

Article type: Article
2007 Volume 115 Issue 1 Pages A50-
Published: April 20, 2007
Released on J-STAGE: October 02, 2017

DOIhttps://doi.org/10.24532/soken.115.1_A50

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Reviewing phase operator from the aspect of quantum field theory(Fundamental Problems and Applications of Quantum Field Theory-Topological Aspects of Quantum Field Theory-)

Takayoshi Ootsuka

Article type: Article
2007 Volume 115 Issue 1 Pages A51-
Published: April 20, 2007
Released on J-STAGE: October 02, 2017

DOIhttps://doi.org/10.24532/soken.115.1_A51

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On LCSFT/MST correspondence(Fundamental Problems and Applications of Quantum Field Theory-Topological Aspects of Quantum Field Theory-)

Isao Kishimoto

Article type: Article
2007 Volume 115 Issue 1 Pages A52-
Published: April 20, 2007
Released on J-STAGE: October 02, 2017

DOIhttps://doi.org/10.24532/soken.115.1_A52

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Renormalization group analysis of the quauntum tunnelling suppression due to long range interactions in the time direction(Fundamental Problems and Applications of Quantum Field Theory-Topological Aspects of Quantum Field Theory-)

Ken-Ichi Aoki, Tamao Kobayashi, Hiroshi Tomita

Article type: Article
2007 Volume 115 Issue 1 Pages A53-
Published: April 20, 2007
Released on J-STAGE: October 02, 2017

DOIhttps://doi.org/10.24532/soken.115.1_A53

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Collective quantization of axially symmetrical gravitating B=2 skyrmion(Fundamental Problems and Applications of Quantum Field Theory-Topological Aspects of Quantum Field Theory-)

Hisayuki Sato, Nobuyuki Sawado, Noriko Shiiki

Article type: Article
2007 Volume 115 Issue 1 Pages A54-
Published: April 20, 2007
Released on J-STAGE: October 02, 2017

DOIhttps://doi.org/10.24532/soken.115.1_A54

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Skyrmion compactification in six dimensions(Fundamental Problems and Applications of Quantum Field Theory-Topological Aspects of Quantum Field Theory-)

Yuta Kodama, Kento Kokubu, Nobuyuki Sawado, Noriko Shiiki

Article type: Article
2007 Volume 115 Issue 1 Pages A55-
Published: April 20, 2007
Released on J-STAGE: October 02, 2017

DOIhttps://doi.org/10.24532/soken.115.1_A55

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The gauge invariant magnetic charge in Yang-Mills theory(Fundamental Problems and Applications of Quantum Field Theory-Topological Aspects of Quantum Field Theory-)

Toru Shinohara

Article type: Article
2007 Volume 115 Issue 1 Pages A56-
Published: April 20, 2007
Released on J-STAGE: October 02, 2017

DOIhttps://doi.org/10.24532/soken.115.1_A56

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Embedding of theories with SU(2|4) symmetry into the plane wave matrix model(Fundamental Problems and Applications of Quantum Field Theory-Topological Aspects of Quantum Field Theory-)

Shinji Shimasaki

Article type: Article
2007 Volume 115 Issue 1 Pages A57-
Published: April 20, 2007
Released on J-STAGE: October 02, 2017

DOIhttps://doi.org/10.24532/soken.115.1_A57

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Twisted boundary condition, rectangular matrices, and a non-trivial index in gauge theory on a discretized non-commutative torus(Fundamental Problems and Applications of Quantum Field Theory-Topological Aspects of Quantum Field Theory-)

Yoshiaki Susaki

Article type: Article
2007 Volume 115 Issue 1 Pages A58-
Published: April 20, 2007
Released on J-STAGE: October 02, 2017

DOIhttps://doi.org/10.24532/soken.115.1_A58

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We investigate the topological property of a gauge theory on a discretized 2d non-commutative torus with the twisted boundary condition. The index defined by the Ginsparg-Wilson Dirac operator reproduces the value expected from the index theorem for a constant curvature background, which gives the minimum action. The distribution of the index obtained by Monte Carlo simulation becomes a delta function peaked at the non-zero value in the continuum limit.

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Effective theory for anisotropic quantum Hall states with finite electric currents(Fundamental Problems and Applications of Quantum Field Theory-Topological Aspects of Quantum Field Theory-)

Kazumi Tsuda

Article type: Article
2007 Volume 115 Issue 1 Pages A59-
Published: April 20, 2007
Released on J-STAGE: October 02, 2017

DOIhttps://doi.org/10.24532/soken.115.1_A59

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Nuclear matter in the chiral quark soliton model with vector mesons(Fundamental Problems and Applications of Quantum Field Theory-Topological Aspects of Quantum Field Theory-)

Satoshi Nagai, Nobuyuki Sawado, Noriko Shiiki

Article type: Article
2007 Volume 115 Issue 1 Pages A60-
Published: April 20, 2007
Released on J-STAGE: October 02, 2017

DOIhttps://doi.org/10.24532/soken.115.1_A60

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Zeros of the dispersion relation of the elementary excitation and the correlation length of strongly correlated quantum systems(Fundamental Problems and Applications of Quantum Field Theory-Topological Aspects of Quantum Field Theory-)

Yuichi Nakamura, Naomichi Hatano

Article type: Article
2007 Volume 115 Issue 1 Pages A61-
Published: April 20, 2007
Released on J-STAGE: October 02, 2017

DOIhttps://doi.org/10.24532/soken.115.1_A61

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Laurent Coefficients of Soliton Solutions for sl_2 and su_2 in self Consistent Field Method and Tau-Functional Method(Fundamental Problems and Applications of Quantum Field Theory-Topological Aspects of Quantum Field Theory-)

Seiya NISHIYAMA

Article type: Article
2007 Volume 115 Issue 1 Pages A62-
Published: April 20, 2007
Released on J-STAGE: October 02, 2017

DOIhttps://doi.org/10.24532/soken.115.1_A62

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Topological classification of magnetic ordering in the double exchange model(Fundamental Problems and Applications of Quantum Field Theory-Topological Aspects of Quantum Field Theory-)

Yuuki Nomura, Masanori Yamanaka

Article type: Article
2007 Volume 115 Issue 1 Pages A63-
Published: April 20, 2007
Released on J-STAGE: October 02, 2017

DOIhttps://doi.org/10.24532/soken.115.1_A63

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We numerically study the ground state properties of the DE model in one dimension. The DE model is one of the typical models which describe transition metal oxides, mainly the perovskite manganites, which are known to show the colossal magnetoresistance. Here we study the model with a next nearest-neighbor hopping. In this paper, we numerically study the electronic structure of the one-dimensional DE model in zero temperature.

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Numerical analysis for two-dimensional generalized Weingarten model(Fundamental Problems and Applications of Quantum Field Theory-Topological Aspects of Quantum Field Theory-)

Masanori Hanada

Article type: Article
2007 Volume 115 Issue 1 Pages A64-
Published: April 20, 2007
Released on J-STAGE: October 02, 2017

DOIhttps://doi.org/10.24532/soken.115.1_A64

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Some Properties of U(N) Gauge Theory with Partially Broken Supersymmetry(Fundamental Problems and Applications of Quantum Field Theory-Topological Aspects of Quantum Field Theory-)

Kazunobu Maruyoshi

Article type: Article
2007 Volume 115 Issue 1 Pages A65-
Published: April 20, 2007
Released on J-STAGE: October 02, 2017

DOIhttps://doi.org/10.24532/soken.115.1_A65

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Quantization of Hall conductance and stabilization of flux state in noncommutative space(Fundamental Problems and Applications of Quantum Field Theory-Topological Aspects of Quantum Field Theory-)

Yukihiro Miyazawa, M. Yamanaka

Article type: Article
2007 Volume 115 Issue 1 Pages A66-
Published: April 20, 2007
Released on J-STAGE: October 02, 2017

DOIhttps://doi.org/10.24532/soken.115.1_A66

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Quantization of the Hall conductance [1, 2, 4] and a generalized Peierls instability [5] in two-dimensional noncommutative space under a constant magnetic field are studied. We show that the Hall conductance is quantized and the quantization is stable against to a change of the noncommutative parameter θ. Flux state is stabilized at the condition that differ from commutative space.

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