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Time-reversal-symmetry-broken state in the BCS formalism for a multi-band superconductor
Brendan J Wilson1, Mukunda P Das
1Department of Theoretical Physics, Research School of Physics and Engineering, The Australian National University, Canberra ACT 0200, Australia.
Abstract:
In three-band BCS superconductors with repulsive inter-band interactions, frustration between the bands can lead to an inherently complex gap function, arising out of a phase difference between the bands in the range 0 and π. Since the complex conjugate of this state is also a solution, the ground state is degenerate, and there appears a time-reversal-symmetry-broken state. In this paper we investigate the existence of this state as a function of inter-band coupling strength and show how a new phase transition appears between the TRSB and conventional BCS states.
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