Ising models of quantum frustration

  title={Ising models of quantum frustration},
  author={Roderich Moessner and S. L. Sondhi},
  journal={Physical Review B},
We report on a systematic study of two-dimensional, periodic, frustrated Ising models with quantum dynamics introduced via a transverse magnetic field. The systems studied are the triangular and kagome{prime} lattice antiferromagnets, fully frustrated models on the square and hexagonal (honeycomb) lattices, a planar analog of the pyrochlore antiferromagnet, a pentagonal lattice antiferromagnet, as well as two quasi-one-dimensional lattices that have considerable pedagogical value. All of these… Expand
Ordering of geometrically frustrated classical and quantum triangular Ising magnets
A systematic study of both classical and quantum geometric frustrated Ising models with a competing ordering mechanism is reported in this paper. The ordering comes in the classical case from aExpand
Exotic phases in geometrically frustrated triangular Ising magnets
We report a systematic study of both quantum and classical geometrically frustrated Ising models with competing ordering mechanism. The ordering comes in the classical case from a coupling ofExpand
Efficient quantum cluster algorithms for frustrated transverse field Ising antiferromagnets and Ising gauge theories
Working within the Stochastic Series Expansion (SSE) framework, we construct efficient quantum cluster algorithms for transverse field Ising antiferromagnets on the pyrochlore lattice and the planarExpand
Observation of topological phenomena in a programmable lattice of 1,800 qubits
A large-scale programmable quantum simulation is described, using a D-Wave quantum processor to simulate a two-dimensional magnetic lattice in the vicinity of a topological phase transition. Expand
Magnetic properties of nanoscale compass-Heisenberg planar clusters
We study a model of spins 1/2 on a square lattice, generalizing the quantum compass model via the addition of perturbing Heisenberg interactions between nearest neighbors, and investigate its phaseExpand
Quantum magnetism in two dimensions: From semi-classical Néel order to magnetic disorder
It is known from the Mermin-Wagner theorem that magnetic long-range order can exist in two dimensions only at zero temperature, but even then it can still be destroyed e.g. by quantum fluctuations orExpand
Quantum groundstates of the spin-1/2 XXZ model on a fully-frustrated honeycomb lattice
In this thesis we present results from quantum Monte Carlo for the fully-frustrated honeycomb lattice. The XXZ model is of interest in the classical limit, as there is a mapping between the classicalExpand
Tensor Networks and The Ising Model
Quantum many-body physics is important in understanding a range of physical phenomena. Lattice spin models, such as the Ising model, can successfully capture much of the complex behaviour of stronglyExpand
Ordering in two-dimensional Ising models with competing interactions
We study the 2D Ising model on a square lattice with additional non-equal diagonal next-nearest neighbor interactions. The cases of classical and quantum (transverse) models are considered. PossibleExpand
Itinerant quantum critical point with frustration and a non-Fermi liquid
Employing the self-learning quantum Monte Carlo algorithm, we investigate the frustrated transverse-field triangle-lattice Ising model coupled to a Fermi surface. Without fermions, the spin degreesExpand