• Corpus ID: 246430909

Nambu-Goldstone Modes for Superconducting Lattice Fermions

  title={Nambu-Goldstone Modes for Superconducting Lattice Fermions},
  author={Tohru Koma},
  • T. Koma
  • Published 31 January 2022
  • Physics
: We present a lattice model for superconducting fermions whose nearest-neighbour two-body interactions are a Bardeen-Cooper-Schrieffer-type pairing on the hypercubic lattice Z d with the dimension d ≥ 3. Although these effective interactions between two electrons are believed to be caused by electron-phonon interactions, we assume that the interactions between two electrons are of short range without phonons. For the model, we prove the existence of the long-range order of the superconductivity… 
1 Citations

Spontaneous mass generation and chiral symmetry breaking in a lattice Nambu-Jona-Lasinio model

: We study a lattice Nambu-Jona-Lasino model with interacting staggered fermions in the Kogut-Susskind Hamiltonian formalism. The model has a discrete chiral symmetry but not the usual continuous



Antiferromagnetic correlation in the half-filled strongly correlated electron models at nonzero temperature: A rigorous result

As an extension of our previous rigorous investigation on the spin correlations in the ground states of the half-filled Hubbard model and the periodic Anderson model [G. S. Tian, Phys. Rev. B 50,

Strong-Coupling Limit in the Theory of Superconductivity

The hamiltonian used by Bardeen, Cooper, and Schrieffer (BCS) in their theory of superconductivity is studied in the strong-coupling limit. The complete set of energy levels can be found by using

Symmetry breaking and finite-size effects in quantum many-body systems

We consider a quantum many-body system on a lattice which exhibits a spontaneous symmetry breaking in its infinite-volume ground states, but in which the corresponding order operator does not commute

Total spin and antiferromagnetic correlation in the Kondo model.

  • Shen
  • Physics
    Physical review. B, Condensed matter
  • 1996
Two theorems on the total spin and the sign of the transverse spin-spin correlation are presented and the stability of these magnetic properties against Coulomb interaction between conduction electrons is discussed.

Ground state degeneracy of interacting spinless fermions

We propose an eigen-operator scheme to study the lattice model of interacting spinless fermions at half filling and show that this model possesses a hidden form of reflection positivity in its

Exact results on superconductivity due to interband coupling.

We present a family of exactly solvable models at arbitrary filling in any dimensions which exhibit superconductivity with interband pairing. By the use of the hidden SU(2) algebra the Hamiltonians

Theory of Superconductivity

IN two previous notes1, Prof. Max Born and I have shown that one can obtain a theory of superconductivity by taking account of the fact that the interaction of the electrons with the ionic lattice is

Quantum fluctuations in quantum lattice systems with continuous symmetry

We discuss conditions for the absence of spontaneous breakdown of continuous symmetries in quantum lattice systems atT=0. Our analysis is based on Pitaevskii and Stringari's idea that the uncertainty

Ground state of a general electron-phonon Hamiltonian is a spin singlet.

The many-body ground state of a very general class of electron-phonon Hamiltonians is proven to contain a spin singlet and both the spin-singlet and uniqueness theorems apply to the Holstein and attractive Hubbard models as special cases.

Rigorous Results on the Ground State of the Attractive SU(N) Hubbard Model.

Three theorems are proved that allow us to identify the basic ground-state properties: the degeneracy, the fermion number, and the SU(N) quantum number.