Vortex lattice for a holographic superconductor

Kengo Maeda; Makoto Natsuume; Takashi Okamura

doi:10.1103/PhysRevD.81.026002

Vortex lattice for a holographic superconductor

Kengo Maeda, Makoto Natsuume, Takashi Okamura

Department of Physics

Research output: Contribution to journal › Article › peer-review

88 Citations (Scopus)

Abstract

We investigate the vortex lattice solution in a (2+1)-dimensional holographic model of superconductors constructed from a charged scalar condensate. The solution is obtained perturbatively near the second-order phase transition and is a holographic realization of the Abrikosov lattice. Below a critical value of the magnetic field, the solution has a lower free energy than the normal state. Both the free-energy density and the superconducting current are expressed by nonlocal functions, but they reduce to the expressions in the Ginzburg-Landau theory at long wavelengths. As a result, a triangular lattice becomes the most favorable solution thermodynamically, as in the Ginzburg-Landau theory of type II superconductors.

Original language	English
Article number	026002
Journal	Physical Review D - Particles, Fields, Gravitation and Cosmology
Volume	81
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevD.81.026002
Publication status	Published - 2010 Jan 7

ASJC Scopus subject areas

Nuclear and High Energy Physics
Physics and Astronomy (miscellaneous)

Access to Document

10.1103/PhysRevD.81.026002

Fingerprint Dive into the research topics of 'Vortex lattice for a holographic superconductor'. Together they form a unique fingerprint.

Cite this

@article{4300666732964caca2a4177895823778,

title = "Vortex lattice for a holographic superconductor",

abstract = "We investigate the vortex lattice solution in a (2+1)-dimensional holographic model of superconductors constructed from a charged scalar condensate. The solution is obtained perturbatively near the second-order phase transition and is a holographic realization of the Abrikosov lattice. Below a critical value of the magnetic field, the solution has a lower free energy than the normal state. Both the free-energy density and the superconducting current are expressed by nonlocal functions, but they reduce to the expressions in the Ginzburg-Landau theory at long wavelengths. As a result, a triangular lattice becomes the most favorable solution thermodynamically, as in the Ginzburg-Landau theory of type II superconductors.",

author = "Kengo Maeda and Makoto Natsuume and Takashi Okamura",

year = "2010",

month = jan,

day = "7",

doi = "10.1103/PhysRevD.81.026002",

language = "English",

volume = "81",

journal = "Physical Review D - Particles, Fields, Gravitation and Cosmology",

issn = "1550-7998",

number = "2",

}

TY - JOUR

T1 - Vortex lattice for a holographic superconductor

AU - Maeda, Kengo

AU - Natsuume, Makoto

AU - Okamura, Takashi

PY - 2010/1/7

Y1 - 2010/1/7

N2 - We investigate the vortex lattice solution in a (2+1)-dimensional holographic model of superconductors constructed from a charged scalar condensate. The solution is obtained perturbatively near the second-order phase transition and is a holographic realization of the Abrikosov lattice. Below a critical value of the magnetic field, the solution has a lower free energy than the normal state. Both the free-energy density and the superconducting current are expressed by nonlocal functions, but they reduce to the expressions in the Ginzburg-Landau theory at long wavelengths. As a result, a triangular lattice becomes the most favorable solution thermodynamically, as in the Ginzburg-Landau theory of type II superconductors.

AB - We investigate the vortex lattice solution in a (2+1)-dimensional holographic model of superconductors constructed from a charged scalar condensate. The solution is obtained perturbatively near the second-order phase transition and is a holographic realization of the Abrikosov lattice. Below a critical value of the magnetic field, the solution has a lower free energy than the normal state. Both the free-energy density and the superconducting current are expressed by nonlocal functions, but they reduce to the expressions in the Ginzburg-Landau theory at long wavelengths. As a result, a triangular lattice becomes the most favorable solution thermodynamically, as in the Ginzburg-Landau theory of type II superconductors.

UR - http://www.scopus.com/inward/record.url?scp=77649196522&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77649196522&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.81.026002

DO - 10.1103/PhysRevD.81.026002

M3 - Article

AN - SCOPUS:77649196522

VL - 81

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

SN - 1550-7998

IS - 2

M1 - 026002

ER -