Gauge-invariant correlation functions in the two-dimensional X-Y model with full and random frustration

Thesis/Dissertation · Tue Jan 01 04:00:00 EST 1991

OSTI ID:7174071

Ramirez-Santiago, G

Gauge-invariant correlation functions of the two-dimensional X-Y model at full and random frustration. These models describe two-dimensional arrays of Josephson junctions and many of the metastable properties observed experimentally in high-Tc superconductors. Gauge-invariant phase and chiral correlation functions and thermodynamic properties are calculated from Monte Carlo simulations of these models. For the fully frustrated X-Y model, the critical exponents and critical temperatures of the U(1) and Z[sub 2] degrees of freedom are calculated. These exponents are found to be different from the unfrustrated X-Y model critical exponents and Ising critical exponents, suggesting that the X-Y model at full frustration is in a novel universality class. In addition, it is found that the jump in the helicity modulus is smaller than the universal value predicted for the unfrustrated X-Y model. The X-Y model with random frustration shows metastable behavior that is qualitatively similar to that found experimentally in most high-T[sub c] superconductors. Several of the results presented are in striking qualitative agreement with the experimental results.

• Research Organization: Northeastern Univ., Boston, MA (United States)
• OSTI ID: 7174071
• Country of Publication: United States
• Language: English

Related Subjects

662110 -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
665411* -- Basic Superconductivity Studies-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CORRELATION FUNCTIONS
FUNCTIONS
GAUGE INVARIANCE
HIGH-TC SUPERCONDUCTORS
INVARIANCE PRINCIPLES
JOSEPHSON JUNCTIONS
JUNCTIONS
MONTE CARLO METHOD
PHYSICAL PROPERTIES
SUPERCONDUCTING JUNCTIONS
SUPERCONDUCTORS
THERMODYNAMIC PROPERTIES
TWO-DIMENSIONAL CALCULATIONS