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Exactly Solvable BCS-Hubbard Model in Arbitrary Dimensions.

Zewei Chen1, Xiaohui Li1, Tai Kai Ng1

  • 1Department of Physics, Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong, China.

Physical Review Letters
|February 14, 2018
PubMed
Summary
This summary is machine-generated.

We present an exactly solvable BCS-Hubbard model for p-wave superconductors with Hubbard interaction. This model is solvable for any interaction strength when pairing and hopping amplitudes are equal.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Solid State Physics

Background:

  • The study of strongly correlated electron systems is crucial for understanding emergent phenomena in materials.
  • Exactly solvable models provide fundamental insights into complex quantum many-body systems.
  • Superconducting states with exotic pairing symmetries, like p-wave, are of significant theoretical interest.

Purpose of the Study:

  • To introduce and analyze a novel exactly solvable model of a p-wave Bardeen-Cooper-Schrieffer (BCS) superconductor with on-site Hubbard interaction.
  • To explore the conditions under which this model becomes exactly solvable in arbitrary dimensions.
  • To establish a framework for generalizing exactly solvable lattice fermion models.

Main Methods:

  • Development of an analytical solution for the BCS-Hubbard model on bipartite lattices.
  • Demonstration of exact solvability for arbitrary Hubbard interaction (U) when BCS pairing amplitude (Δ) equals hopping amplitude (t).
  • Drawing parallels between the solution construction and the exactly solvable Kitaev honeycomb model.

Main Results:

  • An exactly solvable BCS-Hubbard model is presented for p-wave superconductors with equal spin pairing.
  • The model is shown to be exactly solvable for arbitrary U when Δ = t.
  • The solution construction is analogous to Kitaev's method, generalizing it to interacting lattice fermions.

Conclusions:

  • The introduced BCS-Hubbard model offers a valuable platform for studying strongly correlated superconductors.
  • The findings pave the way for constructing a broader class of exactly solvable lattice fermion models.
  • This work contributes to the fundamental understanding of quantum many-body physics in condensed matter systems.