Finite-temperature phase transitions in the quantum fully frustrated Ising models

Abstract

The quantum antiferromagnetic spin-1/2 Ising model on a triangular lattice and analogous fully frustrated Ising model on a square lattice with quantum fluctuations induced by the application of the transverse magnetic field are studied at finite temperatures by constructing an exact mapping onto a purely classical model with a more complex interaction. It is shown that in weak fields the temperatures of the phase transitions separating the critical phase from the ordered and disordered phases in both models are proportional to the magnitude of the field.

5 pages, RevTex4

References in corpus (8)

• Interplay of quantum and thermal fluctuations in a frustrated magnet
• Interacting classical dimers on the square lattice
• Classical dimers with aligning interactions on the square lattice
• Quantum Dimer Model on the triangular lattice: Semiclassical and variational approaches to vison dispersion and condensation
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Cited by in corpus (3)

• Observation of topological phenomena in a programmable lattice of 1,800 qubits
• Semiclassical evidence of columnar order in the fully frustrated transverse field Ising model on the square lattice
• Primary and Secondary Order Parameters in the Fully Frustrated Transverse Field Ising Model on the Square Lattice