Cooper problem in a lattice
J.-P. Martikainen
TL;DR
This paper investigates the Cooper problem in a lattice, revealing that binding energy can differ from BCS gap behavior and that non-zero momentum pairs are favored with unequal Fermi energies.
Contribution
It provides a solution to the Cooper problem in a lattice and uncovers novel behaviors of pairing energy and momentum preferences.
Findings
Binding energy can behave differently from BCS gap parameter.
Non-zero center of mass momentum pairs are favored with unequal Fermi energies.
Different qualitative behaviors of pairing in lattice systems.
Abstract
Cooper problem for interacting fermions is solved in a lattice. It is found that the binding energy of the Cooper problem can behave qualitatively differently from the gap parameter of the BCS theory and that pairs of non-zero center of mass momentum are favored in systems with unequal Fermi energies.
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Taxonomy
TopicsAdvanced Chemical Physics Studies · Cold Atom Physics and Bose-Einstein Condensates · Rare-earth and actinide compounds