The external field dependence of the BCS critical temperature

Research output: Contribution to journalJournal articlepeer-review

Standard

The external field dependence of the BCS critical temperature. / Frank, Rupert L.; Hainzl, Christian; Seiringer, Robert; Solovej, Jan Philip.

In: Communications in Mathematical Physics, Vol. 342, No. 1, 2016, p. 189-216.

Research output: Contribution to journalJournal articlepeer-review

Harvard

Frank, RL, Hainzl, C, Seiringer, R & Solovej, JP 2016, 'The external field dependence of the BCS critical temperature', Communications in Mathematical Physics, vol. 342, no. 1, pp. 189-216. https://doi.org/10.1007/s00220-015-2526-2

APA

Frank, R. L., Hainzl, C., Seiringer, R., & Solovej, J. P. (2016). The external field dependence of the BCS critical temperature. Communications in Mathematical Physics, 342(1), 189-216. https://doi.org/10.1007/s00220-015-2526-2

Vancouver

Frank RL, Hainzl C, Seiringer R, Solovej JP. The external field dependence of the BCS critical temperature. Communications in Mathematical Physics. 2016;342(1):189-216. https://doi.org/10.1007/s00220-015-2526-2

Author

Frank, Rupert L. ; Hainzl, Christian ; Seiringer, Robert ; Solovej, Jan Philip. / The external field dependence of the BCS critical temperature. In: Communications in Mathematical Physics. 2016 ; Vol. 342, No. 1. pp. 189-216.

Bibtex

@article{2d64946133344883a132610337fd3f96,
title = "The external field dependence of the BCS critical temperature",
abstract = "We consider the Bardeen-Cooper-Schrieffer free energy functional for particles interacting via a two-body potential on a microscopic scale and in the presence of weak external fields varying on a macroscopic scale. We study the influence of the external fields on the critical temperature. We show that in the limit where the ratio between the microscopic and macroscopic scale tends to zero, the next to leading order of the critical temperature is determined by the lowest eigenvalue of the linearization of the Ginzburg-Landau equation.",
keywords = "math-ph, cond-mat.quant-gas, cond-mat.supr-con, math.AP, math.MP",
author = "Frank, {Rupert L.} and Christian Hainzl and Robert Seiringer and Solovej, {Jan Philip}",
note = "28 pages",
year = "2016",
doi = "10.1007/s00220-015-2526-2",
language = "English",
volume = "342",
pages = "189--216",
journal = "Communications in Mathematical Physics",
issn = "0010-3616",
publisher = "Springer",
number = "1",

}

RIS

TY - JOUR

T1 - The external field dependence of the BCS critical temperature

AU - Frank, Rupert L.

AU - Hainzl, Christian

AU - Seiringer, Robert

AU - Solovej, Jan Philip

N1 - 28 pages

PY - 2016

Y1 - 2016

N2 - We consider the Bardeen-Cooper-Schrieffer free energy functional for particles interacting via a two-body potential on a microscopic scale and in the presence of weak external fields varying on a macroscopic scale. We study the influence of the external fields on the critical temperature. We show that in the limit where the ratio between the microscopic and macroscopic scale tends to zero, the next to leading order of the critical temperature is determined by the lowest eigenvalue of the linearization of the Ginzburg-Landau equation.

AB - We consider the Bardeen-Cooper-Schrieffer free energy functional for particles interacting via a two-body potential on a microscopic scale and in the presence of weak external fields varying on a macroscopic scale. We study the influence of the external fields on the critical temperature. We show that in the limit where the ratio between the microscopic and macroscopic scale tends to zero, the next to leading order of the critical temperature is determined by the lowest eigenvalue of the linearization of the Ginzburg-Landau equation.

KW - math-ph

KW - cond-mat.quant-gas

KW - cond-mat.supr-con

KW - math.AP

KW - math.MP

U2 - 10.1007/s00220-015-2526-2

DO - 10.1007/s00220-015-2526-2

M3 - Journal article

VL - 342

SP - 189

EP - 216

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 1

ER -

ID: 140626254