In this article, we present a brief review of the physics of excitonic insulators described as an ordered state of electron and hole pairs. First, we review the theoretical background of the excitonic insulator. Then, we introduce candidate materials for the excitonic insulator that are addressed by recent experiments. Finally, we discuss the collective modes of the excitonic order coupled to phonons and their optical properties.
Magnon-mediated Dicke cooperativity has been observed in ErFeO3. A superradiant phase transition by ultrastrong magnon–spin coupling has also been confirmed. The low-temperature phase transition in ErFeO3 would be a key phenomenon bridging the thermal-equilibrium and non-equilibrium physics.
We propose a new compression method for correlation functions, i.e. quantics tensor train (QTT), based on length-scale separations in space and time. In QTT, a correlation function is represented as a Matrix Product State (MPS). Discrete Fourier Transformation and convolution can be performed efficiently using a Matrix Product Operator (MPO). Numerous examples, ranging from equilibrium to non-equilibrium problems, demonstrate the high efficiency of QTT.
In this article, we present a review of our recent findings on FeSe1-xTex superconductors, which exhibit an electronic nematic order, one of the quantum liquid crystal phases. Elastoresistivity measurements have provided evidence for a pure nematic quantum critical point lying beneath the superconducting dome of FeSe1-xTex . Through an analysis of the upper critical field measurements, we have found that superconducting pairing is strengthend as approaching this quantum critical point. These observations demonstrate the significant role played by fluctuations of the quantum liquid crystal phase in promoting and influencing superconductivity.