Analytic calculation of the vison gap in the Kitaev spin liquid
Source abstract
Abstract
Although the ground-state energy of the Kitaev spin liquid can be calculated exactly, the associated vison gap energy has to date only been calculated numerically from finite size diagonalization. Here we show that the phase shift for scattering Majorana fermions off a single bond flip can be calculated analytically, leading to a closed-form expression for the vison gap energy $\mathrm{\ensuremath{\Delta}}=0.2633J$. Generalizations of our approach can be applied to Kitaev spin liquids on more complex lattices such as the three-dimensional hyperoctagonal lattice.
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Research context
OpenAlex topics: Advanced Condensed Matter Physics · Physics of Superconductivity and Magnetism · Topological Materials and Phenomena
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Center for Materials Theory, Department of Physics and Astronomy, Rutgers University, 136 Frelinghuysen Rd., Piscataway, New Jersey 08854-8019, USA
Department of Physics, Royal Holloway, University of London, Egham, Surrey TW20 0EX, United Kingdom
Division of Condensed Matter Physics and Materials Science, Brookhaven National Laboratory, Upton, New York 11973-5000, USA
Funding
Basic Energy Sciences · U.S. Department of Energy
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