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A simple holographic superconductor with momentum relaxation
Ist Teil von
The journal of high energy physics, 2015-04, Vol.2015 (4), p.1, Article 152
Ort / Verlag
Berlin/Heidelberg: Springer Berlin Heidelberg
Erscheinungsjahr
2015
Quelle
EZB Electronic Journals Library
Beschreibungen/Notizen
A
bstract
We study a holographic superconductor model with momentum relaxation due to massless scalar fields linear to spatial coordinates(
ψ
I
=
βδ
Ii
x
i
), where
β
is the strength of momentum relaxation. In addition to the original superconductor induced by the chemical potential(
μ
) at
β
= 0, there exists a new type of superconductor induced by
β
even at
μ
= 0. It may imply a new ‘pairing’ mechanism of particles and antiparticles interacting with
β
, which may be interpreted as ‘impurity’. Two parameters
μ
and
β
compete in forming superconducting phase. As a result, the critical temperature behaves differently depending on
β/μ
. It decreases when
β/μ
is small and increases when
β/μ
is large, which is a novel feature compared to other models. After analysing ground states and phase diagrams for various
β/μ
, we study optical electric(
σ
), thermoelectric(
α
), and thermal(
κ
¯
) conductivities. When the system undergoes a phase transition from normal to a superconducting phase, 1
/ω
pole appears in the imaginary part of the electric conductivity, implying infinite DC conductivity. If
β/μ <
1, at small
ω
, a two-fluid model with an imaginary 1
/ω
pole and the Drude peak works for
σ
,
α
, and
κ
¯
, but If
β/μ >
1 a non-Drude peak replaces the Drude peak. It is consistent with the coherent/incoherent metal transition in its metal phase. The Ferrell-Glover-Tinkham (FGT) sum rule is satisfied for all cases even when
μ
= 0.