On the zero set of the wave function in superconductivity

被引：21

作者：

Berger, J ^{[1
]}

Rubinstein, J

机构：

[1] Technion Israel Inst Technol, Dept Phys, IL-32000 Haifa, Israel

[2] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1999年 / 202卷 / 03期

关键词：

D O I：

10.1007/s002200050598

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the Ginzburg Landau functional in a multiply connected planar domain with enclosed magnetic flux. Particular attention is given to the zero set of the order parameter. We show that there exist applied fields for which the zero set is of codimension 1.

引用

页码：621 / 628

页数：8

共 13 条

[1] Stable nucleation for the Ginzburg-Landau system with an applied magnetic field [J].

Bauman, P ;

Phillips, D ;

Tang, Q .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1998, 142 (01) :1-43

[2]

Berger J, 1998, SIAM J APPL MATH, V58, P103

[3] Signatures for the second critical point in the phase diagram of a superconducting ring [J].

Berger, J ;

Rubinstein, J .

PHYSICAL REVIEW B, 1997, 56 (09) :5124-5127

[4] TOPOLOGY OF THE ORDER-PARAMETER IN THE LITTLE-PARKS EXPERIMENT [J].

BERGER, J ;

RUBINSTEIN, J .

PHYSICAL REVIEW LETTERS, 1995, 75 (02) :320-322

[5]

Crandall M.G., 1971, J FUNCT ANAL, V8, P321

[6] ANALYSIS AND APPROXIMATION OF THE GINZBURG-LANDAU MODEL OF SUPERCONDUCTIVITY [J].

DU, Q ;

GUNZBURGER, MD ;

PETERSON, JS .

SIAM REVIEW, 1992, 34 (01) :54-81

[7]

Elliott C.M., 1994, EUR J APPL MATH, V5, P431, DOI [10.1017/S0956792500001558.1-3, DOI 10.1017/S0956792500001558.1-3]

[8] OBSERVATION OF QUANTUM PERIODICITY IN TRANSITION TEMPERATURE OF A SUPERCONDUCTING CYLINDER [J].

LITTLE, WA ;

PARKS, RD .

PHYSICAL REVIEW LETTERS, 1962, 9 (01) :9-&

[9]

Morrey C.B. Jr., 1966, Multiple Integrals in the Calculus of Variations, V130

[10]

PANNETIER B, 1991, NATO ADV SCI I B-PHY, V254, P457

← 1 2 →