Lindemann criterion and vortex lattice phase transitions in type-II superconductors

2004 ◽  
Vol 69 (2) ◽  
Author(s):  
Jan Kierfeld ◽  
Valerii Vinokur
Keyword(s):  
Phase Transitions ◽  
Vortex Lattice ◽  
Type Ii ◽  
Type Ii Superconductors ◽  
Lindemann Criterion

FINITE EUCLIDEAN MAGNETIC GROUP AND THETA FUNCTIONS

1992 ◽  
Vol 07 (19) ◽  
pp. 4671-4691 ◽  
Author(s):  
S. FUBINI
Keyword(s):  
Magnetic Field ◽  
Phase Transitions ◽  
Constant Magnetic Field ◽  
Theta Functions ◽  
Type Ii ◽  
Finite Rotations ◽  
Type Ii Superconductors ◽  
Modular Transformations ◽  
Jacobi Theta Functions

The Euclidean magnetic group of translations and rotations in a constant magnetic field is discussed in detail. The eigenfunctions of finite magnetic translations are shown to be related to the quasi periodic Jacobi theta functions, whose group theoretical properties under modular transformations are simply discussed. Invariance under finite rotations is very important; it leads to the two fundamental lattices of 60° and 90° already appearing in the theory of the phase transitions of Type II superconductors.

Sign in / Sign up

Export Citation Format

Share Document