QUANTUM L-OPERATOR OF THE CRITICAL ISING MODEL

H Ulman, M Athematics J Ournal

Sergey B. Bravyi, Matthew B. Hastings

N. Ito, Makoto Taiji, Masuo Suzuki

The dynamical critical exponent z of he two-dimensional Ising model with sequential-flip heat-bath dynamics is numerically estimated to be 2.2, which agrees with that of Metropolis dynamics. The dedicated machine "m-TIS", designed and constructed by the present authors is used for the simulations.

Jakob E. Björnberg

TANG KUN-FA, HU JIA-ZHEN, (1)上海交通大学凝聚态物理研究所; (2)上海交通大学应用物理系

Application of exact renormalisation transformation, to Ising model via equiscale transformation in the same universality class, yields a four-branch critical surface and four fixed points. In the case of the ferromagnetic and antiferromagnetic phase transitions, the results are in agreement with the known exact and the best approximate ones very satifatorily. For the supperantiferromagnetic phase transition, we propose the critical surface equation as follows —ch(h) = sh(2Kx)sh(2Ky).

Muyoung Heo, Mookyung Cheon, Iksoo Chang +1 more

The scaling law of Edwards et al., for cluster fragmentation of critical percolation clusters is not confirmed by analogous Monte Carlo simulations at the Curie point of the two-dimensional Ising model.