Baxter-Wu model in a transverse magnetic field

Abstract

We investigate the low-energy properties as well as quantum and thermal phase transitions of the Baxter-Wu model in a transverse magnetic field. Our study relies on stochastic series expansion quantum Monte Carlo and on series expansions about the low- and high-field limits at zero temperature using the quantum finite-lattice method on the triangular lattice. The phase boundary consists of a second-order critical line in the 4-state Potts model universality class starting from the pure Baxter-Wu limit meeting a first-order line connected to the zero-temperature transition point ($h\approx 2.4$, $T=0$). Both lines merge at a tricritical point approximatively located at ($h\approx 2.3J$, $T\approx J$).

13 pages, 17 figures

References in corpus (11)

• The ALPS project release 1.3: open source software for strongly correlated systems
• Topological Quantum Distillation
• Breakdown of a topological phase: Quantum phase transition in a loop gas model with tension
• Robustness of a perturbed topological phase
• Stochastic series expansion method for quantum Ising models with arbitrary interactions
• Error Threshold for Color Codes and Random 3-Body Ising Models
• Adiabatic Preparation of Topological Order
• Phase diagram of the toric code model in a parallel magnetic field
• Robustness of a topological phase: Topological color code in parallel magnetic field
• Quantum phase transitions out of a Z2 x Z2 topological phase
• The Hintermann-Merlini-Baxter-Wu and the Infinite-Coupling-Limit Ashkin-Teller Models

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