Superconductivity in (2+1)-dimensions Without Parity or Time Reversal Violation
May, 199010 pages
Published in:
- Phys.Lett.B 250 (1990) 107-116
- Published: 1990
Report number:
- OUTP-90-17-P,
- ED90-486
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Abstract: (Elsevier)
A model of dynamical holes in a planar quantum antiferromagnet is analysed in the limit of large spin and small doping concentration. The long-wavelength limit of this system is found to be a relativistic QFT of multiflavour Dirac fermions with both four-fermion and statistical chiral gauge interactions. The Schwinger-Dyson equation for the fermion self-energy is solved in the limit of many flavours and the theory is found to possess a phase in which the global vector symmetry of the effective action is realised in the Kosterlitz-Thouless mode. The theory exhibits superconductivity without parity or time-reversal violation in this phase and the charge quantum assumes the phenomenologically relevant value of 2 e . The mechanism is conjectured to be “hole-pair” condensation due primarily to the statistical gauge interaction. Although there is a formal similarity with BCS theory the physical origin of the attraction between holes is quite different. The model may provide a prototype for further studies in realistic microscopic systems that attempt to simulate planar high temperature superconducting oxides.- gauge field theory
- dimension: 3
- four-fermion interaction
- model: ferromagnet
- superconductivity
- fermion: propagator
- propagator: renormalization
- Dyson-Schwinger equation: solution
- critical phenomena
- invariance: parity
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