# Density-matrix functional theory of the attractive Hubbard model: Statistical analogy of pairing correlations

@inproceedings{Muller2021DensitymatrixFT, title={Density-matrix functional theory of the attractive Hubbard model: Statistical analogy of pairing correlations}, author={Thomas Muller and G. M. Pastor}, year={2021} }

The ground-state properties of the Hubbard model with attractive local pairing interactions are investigated in the framework of lattice density-functional theory. A remarkable correlation is revealed between the interaction-energy functional W [η] corresponding to the Bloch-state occupationnumber distribution ηkσ and the entropy S[η] of a system of non-interacting fermions having the same ηkσ. The relation between W [η] and S[η] is shown to be approximately linear for a wide range of ground…

## References

SHOWING 1-10 OF 37 REFERENCES

Ground-state properties of the one-dimensional attractive Hubbard model with confinement: A comparative study

- Physics
- 2010

We revisit the one-dimensional attractive Hubbard model by using the Bethe-ansatz-based density-functional theory and density-matrix renormalization method. The ground-state properties of this model…

Reduced Density Matrix Functional Theory for Bosons.

- Physics, MedicinePhysical review letters
- 2020

The solution of the underlying v-representability problem is found and the constrained search formalism is identified as the ideal starting point for constructing accurate functional approximations: the exact functionals F[γ] for this N-boson Hubbard dimer and general Bogoliubov-approximated systems are determined.

Even-Odd and Super-Even Effects in the Attractive Hubbard Model

- Physics
- 1999

The canonical BCS wave function is tested for the attractive Hubbard model. Results are presented for one dimension, and are compared with the exact solutions by the Bethe ansatz and the results from…

Critical temperature for the two-dimensional attractive Hubbard model

- Physics
- 2004

The critical temperature for the attractive Hubbard model on a square lattice is determined from the analysis of two independent quantities, the helicity modulus, $\rho_s$, and the pairing…

BCS and attractive Hubbard model comparative study

- Physics
- 2004

We extend previous studies of the BCS canonical approach for the attractive Hubbard model. A derivation of the BCS formulation is presented for both the Hubbard and a simpler reduced Hamiltonian.…

Evaluation of the BCS Approximation for the Attractive Hubbard Model in One Dimension

- Physics
- 1997

The ground-state energy and energy gap to the first excited state are calculated for the attractive Hubbard model in one dimension using both the Bethe ansatz equations and the variational BCS wave…

Density functionals for coulomb systems

- Chemistry
- 1983

The idea of trying to represent the ground state (and perhaps some of the excited states as well) of atomic, molecular, and solid state systems in terms of the diagonal part of the one-body reduced…

Excitonic mechanism for superconductivity in a quasi-one-dimensional system.

- Physics, MedicinePhysical review. B, Condensed matter
- 1985

It is found that for a single chain it is possible, although difficult, to have pairing correlations dominate over CDW correlations, and for an array of weakly coupled chains it is highly unlikely that one would obtain a transition to a superconducting state.

Reduced density matrix functional theory for superconductors

- PhysicsPhysical Review B
- 2019

We present an ab initio theory for superconductors, based on a unique mapping between the statistical density operator at equilibrium, on the one hand, and the corresponding one-body reduced density…

Correlated electrons in high-temperature superconductors

- Physics
- 1994

Theoretical ideas and experimental results concerning high-temperature superconductors are reviewed. Special emphasis is given to calculations performed with the help of computers applied to models…