Quantum effects in the critical properties of the transverse Ising for d between 2 and 3

K. Lukierska‐Walasek, Katarzyna Walasek

R. Coldea

Weitao Song, C. Z. Yang

T. Kaneyoshi

Qing Jiang, Z. Y. Li

In this paper we suggest a method that combines the effective-field renormalization group with the discretized path-integral method to study the critical behavior of the transverse Ising model in a quantum-spin system. We find the results on a critical transverse field and critical exponent at zero temperature to be closely comparable to other results. This demonstrates the utility of this method in studying critical properties of quantum-spin systems.

Bikas K. Chakrabarti

In view of the indications of nontrivial quantum effects on the spin-glass ground-state (frustration, etc.) properties, the Ising spin-glass models (both frustrated and unfrustrated) are investigated here in the presence of a transverse field to study the possible quantum effect on the corresponding (classical) Ising spin-glass behavior. Studies on the critical behavior show similar quantum effects as observed in other established second-order transitions.