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Title: Disordered Berezinskii-Kosterlitz-Thouless transition and superinsulation

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Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 97; Journal Issue: 2; Related Information: CHORUS Timestamp: 2018-01-22 10:13:53; Journal ID: ISSN 2469-9950
American Physical Society
Country of Publication:
United States

Citation Formats

Sankar, S., Vinokur, V. M., and Tripathi, V. Disordered Berezinskii-Kosterlitz-Thouless transition and superinsulation. United States: N. p., 2018. Web. doi:10.1103/PhysRevB.97.020507.
Sankar, S., Vinokur, V. M., & Tripathi, V. Disordered Berezinskii-Kosterlitz-Thouless transition and superinsulation. United States. doi:10.1103/PhysRevB.97.020507.
Sankar, S., Vinokur, V. M., and Tripathi, V. 2018. "Disordered Berezinskii-Kosterlitz-Thouless transition and superinsulation". United States. doi:10.1103/PhysRevB.97.020507.
title = {Disordered Berezinskii-Kosterlitz-Thouless transition and superinsulation},
author = {Sankar, S. and Vinokur, V. M. and Tripathi, V.},
abstractNote = {},
doi = {10.1103/PhysRevB.97.020507},
journal = {Physical Review B},
number = 2,
volume = 97,
place = {United States},
year = 2018,
month = 1

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on January 22, 2019
Publisher's Accepted Manuscript

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  • We investigate the critical Berezinskii-Kosterlitz-Thouless (BKT) behavior of disordered twodimensional Josephson-junction arrays (JJA) on the insulating side of the superconductor-insulator transition (SIT) taking into account the effect of hitherto ignored residual random dipole moments of the superconducting grains. We show that for weak Josephson coupling the model is equivalent to a Coulomb gas subjected to a disorder potential with logarithmic correlations. We demonstrate that strong enough disorder transforms the BKT divergence of the correlation length, ~BKT / exp(const/pT TBKT), characterizing the average distance between the unbound topological excitations of the opposite TBKT)], which is viewed a hallmark of a glassmore » transitions in glass-forming materials. We further show that the VFT criticality is a precursor of the transition into a nonergodic superinsulating state, while the BKT critical behavior implies freezing into an ergodic confined BKT state. Our finding sheds the light on the yet unresolved problem of the origin of the VFT criticality.« less
  • 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.