Two-Dimensional Quantum XY Model with Ring Exchange and External Field

Abstract

We present the zero-temperature phase diagram of a square lattice quantum spin 1/2 XY model with four-site ring exchange in a uniform external magnetic field. Using quantum Monte Carlo techniques, we identify various quantum phase transitions between the XY-order, striped or valence bond solid, staggered Neel antiferromagnet and fully polarized ground states of the model. We find no evidence for a quantum spin liquid phase.

4 pages, 4 figures

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• Deconfined criticality, runaway flow in the two-component scalar electrodynamics and weak first-order superfluid-solid transitions
• D-wave correlated Critical Bose Liquids in two dimensions
• Bond algebraic liquid phase in strongly correlated multiflavor cold atom systems
• Metallic phase in the two-dimensional ionic Hubbard model
• Higher order effective low-energy theories
• Hilbert space fragmentation in a 2D quantum spin system with subsystem symmetries
• Realistic scheme for quantum simulation of ${\mathbb{Z}}_2$ lattice gauge theories with dynamical matter in $(2+1)$D
• Weak first-order superfluid--solid quantum phase transitions
• Bose Metals and Insulators on Multi-Leg Ladders with Ring Exchange
• Stochastic series expansion algorithm for the S=1/2 XY model with four-site ring exchange
• Example of a first-order Néel to Valence-Bond-Solid transition in two-dimensions
• Study of a hard-core boson model with ring-only interactions
• Possible realization of the Exciton Bose Liquid phase in a hard-core boson model with ring-only exchange interactions
• Chiral phases of two-dimensional hard-core bosons with frustrated ring-exchange
• Magnetic three states of matter: A quantum Monte Carlo study of spin liquids
• Strong Hilbert space fragmentation via emergent quantum drums in two dimensions
• Superfluid Insulator Transitions of Hard-Core Bosons on the Checkerboard Lattice
• Ring Exchange and Phase Separation in the Two-dimensional Boson Hubbard model
• Phase separation in the bosonic Hubbard model with ring exchange
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• Superfluid and supersolid phases of lattice bosons with ring-exchange interaction
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• The Boson-Hubbard Model on a Kagome Lattice with Sextic Ring-Exchange Terms
• The Bose-Hubbard model on a triangular lattice with diamond ring-exchange
• The two dimensional Antiferromagnetic Heisenberg model with next nearest neighbour Ising exchange