Frustrated spin model as a hard-sphere liquid
arXiv:cond-mat/0210711 · doi:10.1103/PhysRevLett.90.147203
Abstract
We show that one-dimensional topological objects (kinks) are natural degrees of freedom for an antiferromagnetic Ising model on a triangular lattice. Its ground states and the coexistence of spin ordering with an extensive zero-temperature entropy can be easily understood in terms of kinks forming a hard-sphere liquid. Using this picture we explain effects of quantum spin dynamics on that frustrated model, which we also study numerically.
5 pages, 3 figures
References in corpus (5)
- Exact, Complete, and Universal Continuous-Time Worldline Monte Carlo Approach to the Statistics of Discrete Quantum Systems
- Ising models of quantum frustration
- Pyrochlore Antiferromagnet: A Three-Dimensional Quantum Spin Liquid
- First excitations of the spin 1/2 Heisenberg antiferromagnet on the kagomé lattice
- Two-dimensional periodic frustrated Ising models in a transverse field
Cited by in corpus (5)
- Unifying Magnons and Triplons in Stripe-Ordered Cuprate Superconductors
- Ordering of geometrically frustrated classical and quantum Ising magnets
- Finite-temperature properties of the easy-axis Heisenberg model on frustrated lattices
- String Picture of a Frustrated Quantum Magnet and Dimer Model
- Ordering in Two-Dimensional Ising Models with Competing Interactions