Nature of the Quantum Phase Transition in Quantum Compass Model

Abstract

In this work, we show that the quantum compass model on an square lattice can be mapped to a fermionic model with local density interaction. We introduce a mean-field approximation where the most important fluctuations, those perpendicular to the ordering direction, are taken into account exactly. It is found that the quantum phase transition point at $J_x=J_z$ marks a first order phase transition. We also show that the mean field result is robust against the remaining fluctuation corrections up to the second order.

7 pages, 10 figs

References in corpus (7)

• Reliable Quantum Computers
• Protected Qubits and Chern Simons theories in Josephson Junction Arrays
• The Quantum Compass Model on the Square Lattice
• Strong-weak coupling self-duality in the two-dimensional quantum phase transition of $p+ip$ superconducting arrays
• Discrete Sliding Symmetries, Dualities, and Self-dualities of Quantum Orbital Compass Models and (p+ip) Superconducting Arrays
• Directional Ordering of Fluctuations in a Two-dimensional Compass Model
• Dimensional reduction in superconducting arrays and frustrated magnets

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