Analytic calculation of the vison gap in the Kitaev spin liquid

Panigrahi, Aaditya; Coleman, Piers; Tsvelik, Alexei M.

doi:10.1103/physrevb.108.045151

Analytic calculation of the vison gap in the Kitaev spin liquid

Journal Article · Mon Jul 31 00:00:00 EDT 2023 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.108.045151· OSTI ID:1992851

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Rutgers University, Piscataway, NJ (United States)
Rutgers University, Piscataway, NJ (United States); University of London (United Kingdom)
Brookhaven National Laboratory (BNL), Upton, NY (United States)

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 Δ = 0.2633J. Generalizations of our approach can be applied to Kitaev spin liquids on more complex lattices such as the three dimensional hyper-octagonal lattice.

View Accepted Manuscript (DOE)

Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States)

Sponsoring Organization:: Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division (MSE)

Grant/Contract Number:: FG02-99ER45790; SC0012704

OSTI ID:: 1992851

Report Number(s):: BNL-224601-2023-JAAM

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 4 Vol. 108; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Analytic calculation of the vison gap in the Kitaev spin liquid

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