Renormalization and quantum effects in a two-dimensional planar model

E. Šimánek and K. Stein

Physica A: Statistical Mechanics and its Applications, 1984, vol. 129, issue 1, 40-61

Abstract: We examine the influence of the charging energy on the vortex unbinding transition in two-dimensional arrays of Josephson junctions. The fluctuations of the phase about the time-dependent vortex solutions are treated within the self-consistent harmonic approximation. A new relation between the renormalized vortex unbinding temperature Tc and the charging energy U is derived. We predict a continuous drop of Tc at a critical value of U well below the spurious first order transition of the rigidity constant. The results are interpreted as a quantum assisted dissociation of vortex pairs.

Date: 1984
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:129:y:1984:i:1:p:40-61

DOI: 10.1016/0378-4371(84)90020-7

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