Working within the stochastic series expansion framework, we introduce and characterize a plaquette-based quantum cluster algorithm for quantum Monte Carlo simulations of transverse field Ising models with frustrated Ising exchange interactions. As a demonstration of the capabilities of this algorithm, we show that a relatively small ferromagnetic next-nearest-neighbor coupling drives the transverse field Ising antiferromagnet on the triangular lattice from an antiferromagnetic three-sublattice ordered state at low temperature to a ferrimagnetic three-sublattice ordered state.Working within the stochastic series expansion framework, we introduce and characterize a plaquette-based quantum cluster algorithm for quantum Monte Carlo simulations of transverse field Ising models with frustrated Ising exchange interactions. As a demonstration of the capabilities of this algorithm, we show that a relatively small ferromagnetic next-nearest-neighbor coupling drives the transverse field Ising antiferromagnet on the triangular lattice from an antiferromagnetic three-sublattice ordered state at low temperature to a ferrimagnetic three-sublattice ordered state.

arXiv:1512.00931Physical review. B./Physical review. BJun 1, 201614 citations

Ring-frustrated non-Hermitian XY model

Shihao Bi, Yan He, Peng Li

arXiv:2010.04443Physics Letters AFeb 9, 20213 citations

XY ring-exchange model on the triangular lattice

Leon Balents, Arun Paramekanti

We study ring-exchange models for bosons or $\mathrm{XY}$ spins on a triangular lattice. A four-spin exchange leads to a manifold of ground states with gapless excitations and critical power-law correlations. With a nearest-neighbor exchange, fluctuations select a four-fold ferrimagnetically ordered ground state with a small spin (superfluid) stiffness which breaks the global U(1) and translational symmetry. We explore consequences for phase transitions at finite temperature and in an in-plane magnetic field.We study ring-exchange models for bosons or $\mathrm{XY}$ spins on a triangular lattice. A four-spin exchange leads to a manifold of ground states with gapless excitations and critical power-law correlations. With a nearest-neighbor exchange, fluctuations select a four-fold ferrimagnetically ordered ground state with a small spin (superfluid) stiffness which breaks the global U(1) and translational symmetry. We explore consequences for phase transitions at finite temperature and in an in-plane magnetic field.

arXiv:cond-mat/0212589Physical review. B, Condensed matterApr 28, 200321 citations

The square lattice Ising model with frustrated nearest-neighbour interaction

M. Badehdah, A. Benyoussef, M. Touzani

Physica B Condensed MatterNov 1, 19980 citations

Effects of Dzyaloshinskii-Moriya interaction on Spin 1/2 XY Model with Ring Exchange on a Triangular Lattice

S. A. Owerre

This paper has been withdrawn because it overlaps with arXiv:1203.6583

arXiv:1208.5089Aug 25, 20120 citations

We study ring-exchange models for bosons or

\mathrm{XY}

spins on a triangular lattice. A four-spin exchange leads to a manifold of ground states with gapless excitations and critical power-law correlations. With a nearest-neighbor exchange, fluctuations select a four-fold ferrimagnetically ordered ground state with a small spin (superfluid) stiffness which breaks the global U(1) and translational symmetry. We explore consequences for phase transitions at finite temperature and in an in-plane magnetic field.