Phase diagram of the quantum Ising model with long-range interactions on an infinite-cylinder triangular lattice

Article

关键词: SPIN SYSTEMS;    GROUND-STATE;    ANTIFERROMAGNETISM;    ENTANGLEMENT;    SIMULATOR;    HUNDREDS;    ORDER;    CHAIN;   

DOI  :  10.1103/PhysRevB.97.155116

来源: SCIE

【 摘 要 】

Obtaining quantitative ground- state behavior for geometrically-frustrated quantum magnets with long-range interactions is challenging for numerical methods. Here, we demonstrate that the ground states of these systems on two-dimensional lattices can be efficiently obtained using state-of-the-art translation-invariant variants of matrix product states and density-matrix renormalization-group algorithms. We use thesemethods to calculate the fully-quantitative ground- state phase diagram of the long-range interacting triangular Ising model with a transverse field on six-leg infinite-length cylinders and scrutinize the properties of the detected phases. We compare these results with those of the corresponding nearest neighbor model. Our results suggest that, for such long-range Hamiltonians, the long-range quantum fluctuations always lead to long-range correlations, where correlators exhibit power-law decays instead of the conventional exponential drops observed for short-range correlated gapped phases. Our results are relevant for comparisons with recent ion-trap quantum simulator experiments that demonstrate highly-controllable long-range spin couplings for several hundred ions.

【 授权许可】

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