Resistive transition in superconducting films

Journal Article · Sat Sep 01 00:00:00 EDT 1979 · J. Low Temp. Phys.; (United States)

DOI:https://doi.org/10.1007/BF00116988· OSTI ID:5935688

Halperin, B I; Nelson, D R

The consequences of a vortex unbinding picture of two-dimensional superconductivity are worked out. Although there is no true finite-temperature phase transition, dirty superconducting films should display anomalous behavior below the BCS transition temperature and above an effective Kosterlitz-Thouless vortex unbinding temperature. In particular, both the conductivity and fluctuation diamagnetism behave like xi/sup 2/+ in this regime, where xi+ is the correlation length calculated by Kosterlitz, xi+approx.xi/sub c/ exp ((B/T-T/sub c/)/sup 1/2/). We estimate xi, B, and the vortex unbinding temperature, and determine the nonlinear resistivity below T/sub c/. A recent theory of vortex dynamics, together with a time-dependent Ginzburg-Landau theory, lead to a determination of the frequency-dependent conductivity.

• Research Organization: Department of Physics, Harvard University, Cambridge, Massachusetts
• OSTI ID: 5935688
• Journal Information: J. Low Temp. Phys.; (United States), Journal Name: J. Low Temp. Phys.; (United States) Vol. 36:5; ISSN JLTPA
• Country of Publication: United States
• Language: English

Related Subjects

656102* -- Solid State Physics-- Superconductivity-- Acoustic
Electronic
Magnetic
Optical
& Thermal Phenomena-- (-1987)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CORRELATION FUNCTIONS
DIAMAGNETISM
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
FILMS
FLUID FLOW
FREQUENCY DEPENDENCE
FUNCTIONS
GINZBURG-LANDAU THEORY
MAGNETISM
PERMITTIVITY
PHYSICAL PROPERTIES
SUPERCONDUCTING FILMS
THERMODYNAMIC PROPERTIES
TRANSITION TEMPERATURE
TWO-DIMENSIONAL CALCULATIONS
VORTEX FLOW