Edge states of Spin-1/2 Two-Leg Ladder with Four-Spin Ring Exchange

Abstract

A topological insulator and its spin analogue as a gapped spin liquid have characteristic low energy excitations (edge states) within the gap when the systems have boundaries. This is the bulk-edge correspondence, which implies that the edge states themselves characterize the gapped bulk spin liquid. Based on the general principle, we analyzed the vector chirality phase of the spin-1/2 ladder with ring exchange by using the edge states and the entanglement entropy.

6 pages, 10 figures

References in corpus (10)

• Phase Diagram of a Spin Ladder with Cyclic Four Spin Exchange
• Topological Classification of Gapped Spin Chains :Quantized Berry Phase as a Local Order Parameter
• Exact Analysis of Entanglement in Gapped Quantum Spin Chains
• Degeneracy and Consistency Condition of Berry phases: Gap Closing under the Twist
• Quantum Entanglement in the S=1/2 Spin Ladder with Ring Exchange
• Topological Identification of Spin-1/2 Two-Leg Ladder with Four-Spin Ring Exchange
• Edge states in graphene in magnetic fields -- a speciality of the edge mode embedded in the n=0 Landau band
• Entanglement Entropy of One-dimensional Gapped Spin Chains
• Dynamics in two-leg spin ladder with a four-spin cyclic interaction
• Quantized Berry Phases of a Spin-1/2 Frustrated Two-Leg Ladder with Four-Spin Exchange

Cited by in corpus (6)

• Superconductivity in repulsively interacting fermions on a diamond chain: flat-band induced pairing
• Semiclassical Approach to Competing Orders in Two-leg Spin Ladder with Ring-Exchange
• Fractionally Quantized Berry Phase, Adiabatic Continuation, and Edge States
• Topological quantum phase transition in the BEC-BCS crossover phenomena
• Unconventional edge states in a two-leg ladder
• Topological pump of $SU(Q)$ quantum chain and Diophantine equation