Critical properties of the topological Ginzburg-Landau model

被引:16
作者
de Calan, C [1 ]
Malbouisson, APC
Nogueira, FS
Svaiter, NF
机构
[1] Ecole Polytech, Ctr Phys Theor, F-91128 Palaiseau, France
[2] Ctr Brasileiro Pesquisas Fis, BR-22290180 Rio De Janeiro, Brazil
关键词
D O I
10.1103/PhysRevB.59.554
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We consider a Ginzburg-Landau model for superconductivity with a Chern-Simons term added. The flow diagram contains two charged fixed points corresponding to the tricritical and infrared stable fixed points. The topological coupling controls the fixed-point structure and eventually the region of first-order transitions disappears. We compute the critical exponents as a function of the topological coupling, We obtain that the value of the nu exponent does not vary very much from the XY value, nu(XY)=0.67. This shows that the Chern-Simons term does not affect considerably the XY scaling of superconductors. We discuss briefly the possible phenomenological applications of this model. [S0163-1829(99)06901-5].
引用
收藏
页码:554 / 560
页数:7
相关论文
共 38 条
[1]   EXPERIMENTAL TEST OF A FLUCTUATION-INDUCED 1ST-ORDER PHASE-TRANSITION - THE NEMATIC-SMECTIC-A TRANSITION [J].
ANISIMOV, MA ;
CLADIS, PE ;
GORODETSKII, EE ;
HUSE, DA ;
PODNEKS, VE ;
TARATUTA, VG ;
VANSAARLOOS, W ;
VORONOV, VP .
PHYSICAL REVIEW A, 1990, 41 (12) :6749-6762
[2]   PHASE-STRUCTURE OF A LATTICE SUPERCONDUCTOR [J].
BARTHOLOMEW, J .
PHYSICAL REVIEW B, 1983, 28 (09) :5378-5381
[3]   Phase diagram of superconductors from nonperturbative flow equations [J].
Bergerhoff, B ;
Freire, F ;
Litim, DF ;
Lola, S ;
Wetterich, C .
PHYSICAL REVIEW B, 1996, 53 (09) :5734-5757
[4]   PHASE-TRANSITION IN A LATTICE MODEL OF SUPERCONDUCTIVITY [J].
DASGUPTA, C ;
HALPERIN, BI .
PHYSICAL REVIEW LETTERS, 1981, 47 (21) :1556-1560
[5]   Gauge invariance, the quantum action principle, and the renormalization group [J].
DAttanasio, M ;
Morris, TR .
PHYSICS LETTERS B, 1996, 378 (1-4) :213-221
[6]  
DEGENNES PG, 1974, PHYSICS LIQUID CRYST
[7]   Flow equations for the relevant part of the pure Yang-Mills action [J].
Ellwanger, U ;
Hirsch, M ;
Weber, A .
ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1996, 69 (04) :687-697
[8]   CP(N-1) MODEL WITH A CHERN-SIMONS TERM [J].
FERRETTI, G ;
RAJEEV, SG .
MODERN PHYSICS LETTERS A, 1992, 7 (23) :2087-2094
[9]   On the critical fluctuations in superconductors [J].
Folk, R ;
Holovatch, Y .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1996, 29 (13) :3409-3425
[10]  
FRADKIN E, 1991, FIELD THEORIES CONDE