Abstract
We study both analytically and numerically the phase transition in the two-dimensional XY gauge glass, which describes superconducting arrays in random transverse magnetic fields. We introduce the modified Villain scheme as an attempt toward more accurate expansion at low temperatures; this leads to random couplings, which originate from the randomness of the ground-state configuration. It is then found via the renormalization-group method that the randomness in couplings tends to suppress the re-entrant transition. We also present results of Monte Carlo simulations, which are in general consistent with those obtained analytically. Finally, the possibility of glass ordering is discussed.
Original language | English |
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Pages (from-to) | 16211-16219 |
Number of pages | 9 |
Journal | Physical Review B |
Volume | 51 |
Issue number | 22 |
DOIs | |
State | Published - 1995 |