New fermionic superfluid state

Physics – Condensed Matter – Superconductivity

Scientific paper

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Coefficients gamma are complex now - c.f. eq. (21). Brief reference to ground state solutions, with full numerics to be presen

Scientific paper

We introduce a new fermionic variational wavefunction, suitable for interacting multi-species systems and sustaining superfluidity. In this frame, we also introduce a novel way for the treatment of entanglement in many-body systems via a new quantum index, which is related to the internal structure of the quantum state. Applications include quark matter, neutron stars, cold atoms, graphene and the high temperature superconductors. Spin up and down fermions are, in principle, inequivalent. A wider class of Hamiltonians than sheer Bardeen-Cooper-Schrieffer (BCS) type, comprising interaction and hybridization between different fermion species, can be treated "exactly", as in the well known manner of BCS theory. We present the finite temperature version of the theory, and we discuss the appearance of charge and spin density wave order.

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