The external field dependence of the BCS critical temperature
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The external field dependence of the BCS critical temperature. / Frank, Rupert L.; Hainzl, Christian; Seiringer, Robert; Solovej, Jan Philip.
I: Communications in Mathematical Physics, Bind 342, Nr. 1, 2016, s. 189-216.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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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