In the vicinity of quantum critical point (QCP), thermodynamic properties diverge toward zero temperature governed by universal exponents. Although this fact is well known, how it reflected in dynamics has not been addressed. The QCP transverse Ising model on a triangular lattice an ideal platform to test issue, since experimental realization, dielectrics being realized organic dimer Mott insul...

We study a fermionic infinited-ranged Ising spin glass with a real space BCS interaction in the presence of an applied transverse field. The problem is formulated in the integral functional formalism where the SU(2) spins are given in terms of bilinear combinations of Grassmann fields. The problem is solved within static approximation and the replica symmetry ansatz combined with previous appro...

We consider the spin1 2 Ising chain in a regularly alternating transverse field to examine the effects of regular alternation on the quantum phase transition inherent in the quantum Ising chain. The number of quantum phase transition points strongly depends on the specific set of the Hamiltonian parameters but never exceeds 2p where p is the period of alternation. Calculating the spin correlati...

This chapter is devoted to a discussion of quantum phase transitions in regularly alternating spin1 2 Ising chain in a transverse field. After recalling some generally-known topics of the classical (temperature-driven) phase transition theory and some basic concepts of the quantum phase transition theory I pass to the statistical mechanics calculations for a one-dimensional spin1 2 Ising model ...

The classical Ising model (IM) and the quantum transverse Ising model (TIM) are generically used to study cooperative phenomena. The three-dimensional (d = 3) TIM has several applications to real systems[1], including the description of structural order-disorder phase transitions observed in ferroelectrics at a critical temperature Tc. In the d = 1 case, the TIM with nearest-neighbor interactio...