Probing Kitaev Models on Small Lattices

Abstract

We address the following important question: how to distinguish Kitaev models experimentally realized on small lattices from other non-topological interacting spin models. Based on symmetry arguments and exact diagonalization, we show that a particularly characteristic pattern of spin-spin correlations survives despite finite size, open boundary and thermal effects. The pattern is robust against small residual perturbing interactions and can be utilized to distinguish the Kitaev interactions from other interactions such as antiferromagnetic Heisenberg interactions. The effect of external magnetic field is also considered and found to be not critical.

References in corpus (10)

• Non-Abelian Anyons and Topological Quantum Computation
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Exact results for spin dynamics and fractionization in the Kitaev Model
• Topological characterization of quantum phase transitions in a S=1/2 spin model
• Entanglement and Tunable Spin-Spin Couplings Between Trapped Ions Using Multiple Transverse Modes
• Quantum Computation Using Vortices and Majorana Zero Modes of a $p_x$ + $i{p}_y$ Superfluid of Fermionic Cold Atoms
• Exact results on the Kitaev model on a hexagonal lattice: spin states, string and brane correlators, and anyonic excitations
• Finite Layer Thickness Stabilizes the Pfaffian State for the 5/2 Fractional Quantum Hall Effect: Wavefunction Overlap and Topological Degeneracy
• Majorana Fermions, Exact Mappings between Classical and Topological Orders
• An extended Hubbard model with ring exchange: a route to a non-Abelian topological phase

Cited by in corpus (6)

• Quantum Spin Liquid States
• Interaction effects and quantum phase transitions in topological insulators
• Classical Heisenberg spins on a hexagonal lattice with Kitaev couplings
• Anisotropic exchange coupling and ground state phase diagram of Kitaev compound YbOCl
• Gauge field entanglement of Kitaev's honeycomb model
• Fidelity of the Kitaev honeycomb model under a quench