Quantum Monte Carlo study of the transverse-field Ising model on a frustrated checkerboard lattice

TL;DR

This study uses advanced quantum Monte Carlo simulations to explore the low-temperature magnetic behaviors of the frustrated transverse-field Ising model on a checkerboard lattice, revealing new ordering phenomena and critical behaviors.

Contribution

It applies a novel continuous-time quantum Monte Carlo method to analyze the model's behavior under various magnetic fields, uncovering phenomena not seen in previous zero-temperature studies.

Findings

Discovery of horizontal stripe ordering at high longitudinal fields

Persistent critical behavior at low temperatures in weak longitudinal fields

Identification of new magnetic phases due to quantum and thermal fluctuations

Abstract

We present the numerical results for low temperature behavior of the transverse-field Ising model on a frustrated checkerboard lattice, with focus on the effect of both quantum and thermal fluctuations. Applying the recently-developed continuous-time quantum Monte Carlo algorithm, we compute the magnetization and susceptibility down to extremely low temperatures while changing the magnitude of both transverse and longitudinal magnetic fields. Several characteristic behaviors are observed, which were not inferred from the previously studied quantum order from disorder at zero temperature, such as a horizontal-type stripe ordering at a substantial longitudinal field and a persistent critical behavior down to low temperature in a weak longitudinal field region.