Lee-Yang Complex-Field Systems and Frustrated Ising Models

抄録

It is shown that the Lee-Yang Ising system with an imaginary magnetic field βH=h=iπ⁄2 on the square lattice is equivalent to Villain’s fully-frustrated Ising systems. Thus, the present paper unifies the two streams of investigation on Lee-Yang complex-field systems and frustrated Ising systems. This observation suggests a new possibility to study frustrated systems using the corresponding equivalent Lee-Yang complex-field systems. An algebraic approach to dual transformations is given using the quantum σ−τ transformation.