The Berry phase: a topological test for the spectrum structure of frustrated quantum spin systems
arXiv:0807.2720 · doi:10.1016/j.physleta.2008.06.016
Abstract
The nature of the low energy spectrum of frustrated quantum spin systems is investigated by means of a topological test introduced by Y. Hatsugai which enables to infer the possible existence or absence of a gap between the ground state and excited states of these systems. The test relies on the determination of an order parameter which is a Berry phase. The structure of the spectra of even and odd-legged systems in 2d and 3d is analyzed. Results are confronted with previous work.
arXiv comment11 pages, 1 figure
References in corpus (16)
- Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
- Topological entanglement entropy
- Detecting topological order in a ground state wave function
- Surprises on the Way from 1D to 2D Quantum Magnets: the Novel Ladder Materials
- Quantum Magnetic Excitations from Stripes in Copper-Oxide Superconductors
- Experimental observation of optical rotation generated in vacuum by a magnetic field
- Entanglement entropy and the Berry phase in solid states
- Quantized Berry Phases as Local Order Parameters of Quantum Liquids
- A Characterization of Topological Insulators: Chern Numbers for a Ground State Multiplet
- Topological Classification of Gapped Spin Chains :Quantized Berry Phase as a Local Order Parameter
- Explicit Gauge Fixing for Degenerate Multiplets: A Generic Setup for Topological Orders
- Orbital Ordering, New Phases, and Stripe Formation in Doped Layered Nickelates
- Quantized Berry Phases for a Local Characterization of Spin Liquids in Frustrated Spin Systems
- Effective actions for spin ladders
- Detecting topological orders through continuous quantum phase transition
- Topological quantum phase transition and the Berry phase near the Fermi surface in hole-doped quantum wells