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Title: Emergent Supersymmetry at the Ising–Berezinskii-Kosterlitz-Thouless Multicritical Point

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Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 114; Journal Issue: 9; Journal ID: ISSN 0031-9007
American Physical Society
Country of Publication:
United States

Citation Formats

Huijse, Liza, Bauer, Bela, and Berg, Erez. Emergent Supersymmetry at the Ising–Berezinskii-Kosterlitz-Thouless Multicritical Point. United States: N. p., 2015. Web. doi:10.1103/PhysRevLett.114.090404.
Huijse, Liza, Bauer, Bela, & Berg, Erez. Emergent Supersymmetry at the Ising–Berezinskii-Kosterlitz-Thouless Multicritical Point. United States. doi:10.1103/PhysRevLett.114.090404.
Huijse, Liza, Bauer, Bela, and Berg, Erez. 2015. "Emergent Supersymmetry at the Ising–Berezinskii-Kosterlitz-Thouless Multicritical Point". United States. doi:10.1103/PhysRevLett.114.090404.
title = {Emergent Supersymmetry at the Ising–Berezinskii-Kosterlitz-Thouless Multicritical Point},
author = {Huijse, Liza and Bauer, Bela and Berg, Erez},
abstractNote = {},
doi = {10.1103/PhysRevLett.114.090404},
journal = {Physical Review Letters},
number = 9,
volume = 114,
place = {United States},
year = 2015,
month = 3

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1103/PhysRevLett.114.090404

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Cited by: 13works
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  • A model for spin-charge-separated superconductivity in two dimensions is introduced where the phases of the spinon and holon order parameters couple guage invariantly to a statistical gauge field representing chiral spin fluctuations. The model is analyzed in the continuum limit and in the low-temperature limit. In both cases we find that physical electronic phase correlations show a superconducting-normal phase transition of the Berezinskii-Kosterlitz-Thouless type, while statistical gauge-field excitations are found to be strictly gapless. It is argued that the former transition is in the same universality class as that of the [ital XY] model. We thus predict a universal jumpmore » in the superfluid density at this transition. The normal-to-superconductor phase boundary for this model is also obtained as a function of carrier density, where we find that its shape compares favorably with that of the experimentally observed phase diagram for the oxide superconductors.« less
  • The resistivity of superconducting whiskers of layered superconductors due to thermal creation of in-layer vortices is calculated. The voltage induced by the current along the whisker is obtained from the Fokker-Planck equation for vortex densities. An expression for the current-voltage relation in a magnetic field perpendicular to the layers is found in closed form. Power-law dependence for the resistivity at large currents or large magnetic fields and finite linear resistivity at small currents are predicted. These results also apply to narrow thin films of conventional superconductors.
  • The quantum easy-plane ferromagnetic two-dimensional {ital XXZ} model is approached by the pure-quantum self-consistent harmonic approximation that reduces it to an effective classical model. Quantum fluctuations weaken both the effective exchange, leading to a reduced Berezinskii-Kosterlitz-Thouless transition temperature with respect to the classical model, and the effective easy-plane anisotropy. The latter vanishes when the anisotropy is smaller than a cutoff value, leading to an instability that could be interpreted as a crossover to a strongly quantum regime where a picture of classical-like renormalized vortices is inadequate.
  • In this work we examine the influence of the diffusive motion of vortices in highly anisotropic high-{Tc} superconductors near the Berezinskii-Kosterlitz-Thouless (BKT) transition temperature T{sub BKT} on the spin-lattice relaxation rate T{sub 1}{sup -1}. We find a jump in T{sub 1}{sup -1} at the temperature T{sub BKT}.
  • The vortex-unbinding transition in two-dimensional superconductors is revisited. The approach presented is based on a Thomas-Fermi-type ansatz and allows to calculate the vortex density and the screened interaction below and above the transition temperature within a unified formalism.