Emergent fermions and anyons in the Kitaev model

Schmidt KP, Dusuel S, Vidal J (2008)

Publication Status: Published

Publication Type: Journal article

Publication year: 2008

Journal

Physical Review Letters American Physical Society

Publisher: AMER PHYSICAL SOC

Book Volume: 100

Journal Issue: 5

DOI: 10.1103/PhysRevLett.100.057208

Abstract

We study the gapped phase of the Kitaev model on the honeycomb lattice using perturbative continuous unitary transformations. The effective low-energy Hamiltonian is found to be an extended toric code with interacting anyons. High-energy excitations are emerging free fermions which are composed of hard-core bosons with an attached string of spin operators. The excitation spectrum is mapped onto that of a single particle hopping on a square lattice in a magnetic field. We also illustrate how to compute correlation functions in this framework. The present approach yields analytical perturbative results in the thermodynamical limit without using the Majorana or the Jordan-Wigner fermionization initially proposed to solve this problem.

Authors with CRIS profile

Kai Phillip Schmidt Professur für Theoretische Physik

Involved external institutions

Lycée Louis-Thuillier FR France (FR) University of Paris 6 - Pierre et Marie Curie / Université Paris VI Pierre et Marie Curie (UPMC) FR France (FR)

How to cite

APA:

Schmidt, K.P., Dusuel, S., & Vidal, J. (2008). Emergent fermions and anyons in the Kitaev model. Physical Review Letters, 100(5). https://doi.org/10.1103/PhysRevLett.100.057208

MLA:

Schmidt, Kai Phillip, Sebastien Dusuel, and Julien Vidal. "Emergent fermions and anyons in the Kitaev model." Physical Review Letters 100.5 (2008).

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