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Title: Instability of a triangular Abrikosov lattice at values of the Ginzburg–Landau parameter κ close to unity

Abstract

The “soft” transverse mode of gapless excitations related to the deformation of a triangular Abrikosov lattice with a single flux quantum per unit cell at an arbitrary value of the Ginzburg–Landau parameter κ is investigated. An Abrikosov lattice with the angle φ = π/3 between the unit cell vectors is shown to be unstable in a narrow range of values, 1 < κ < 1.000634. The excitation spectrum of the mode under consideration at low values of the momentum k (in the k{sup 2} approximation) is isotropic at k lying in a plane perpendicular to the magnetic field.

Authors:
 [1];  [2]
  1. Max-Planck Institute for Physics of Complex Systems (Germany)
  2. University of Toronto, Department of Mathematics (Canada)
Publication Date:
OSTI Identifier:
22617225
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Experimental and Theoretical Physics; Journal Volume: 123; Journal Issue: 1; Other Information: Copyright (c) 2016 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; ABRIKOSOV THEORY; APPROXIMATIONS; DEFORMATION; EXCITATION; GINZBURG-LANDAU THEORY; INSTABILITY; MAGNETIC FIELDS; SPECTRA

Citation Formats

Ovchinnikov, Yu. N., E-mail: ovc@itp.ac.ru, and Sigal, I. M.. Instability of a triangular Abrikosov lattice at values of the Ginzburg–Landau parameter κ close to unity. United States: N. p., 2016. Web. doi:10.1134/S1063776116050083.
Ovchinnikov, Yu. N., E-mail: ovc@itp.ac.ru, & Sigal, I. M.. Instability of a triangular Abrikosov lattice at values of the Ginzburg–Landau parameter κ close to unity. United States. doi:10.1134/S1063776116050083.
Ovchinnikov, Yu. N., E-mail: ovc@itp.ac.ru, and Sigal, I. M.. Fri . "Instability of a triangular Abrikosov lattice at values of the Ginzburg–Landau parameter κ close to unity". United States. doi:10.1134/S1063776116050083.
@article{osti_22617225,
title = {Instability of a triangular Abrikosov lattice at values of the Ginzburg–Landau parameter κ close to unity},
author = {Ovchinnikov, Yu. N., E-mail: ovc@itp.ac.ru and Sigal, I. M.},
abstractNote = {The “soft” transverse mode of gapless excitations related to the deformation of a triangular Abrikosov lattice with a single flux quantum per unit cell at an arbitrary value of the Ginzburg–Landau parameter κ is investigated. An Abrikosov lattice with the angle φ = π/3 between the unit cell vectors is shown to be unstable in a narrow range of values, 1 < κ < 1.000634. The excitation spectrum of the mode under consideration at low values of the momentum k (in the k{sup 2} approximation) is isotropic at k lying in a plane perpendicular to the magnetic field.},
doi = {10.1134/S1063776116050083},
journal = {Journal of Experimental and Theoretical Physics},
number = 1,
volume = 123,
place = {United States},
year = {Fri Jul 15 00:00:00 EDT 2016},
month = {Fri Jul 15 00:00:00 EDT 2016}
}