Quantum Monte Carlo study of long-range transverse-field Ising models on the triangular lattice

Article

关键词: CRITICAL-BEHAVIOR;    3 DIMENSIONS;    ANTIFERROMAGNET;    SYSTEMS;    PHASE;   

DOI  :  10.1103/PhysRevB.93.104412

来源: SCIE

【 摘 要 】

Motivated by recent experiments with a Penning ion trap quantum simulator, we perform numerically exact Stochastic Series Expansion quantum Monte Carlo simulations of long-range transverse-field Ising models on a triangular lattice for different decay powers alpha of the interactions. The phase boundary for the ferromagnet is obtained as a function of alpha. For antiferromagnetic interactions, there is strong indication that the transverse field stabilizes a clock ordered phase with sublattice magnetization (M,-M/2,-M/2) with unsaturated M < 1 in a process known as order by disorder similar to the nearest-neighbor antiferromagnet on the triangular lattice. Connecting the known limiting cases of nearest-neighbor and infinite-range interactions, a semiquantitative phase diagram is obtained. Magnetization curves for the ferromagnet for experimentally relevant system sizes and with open boundary conditions are presented.

【 授权许可】

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