## 145 Citations

### Existence of Solutions to the Bethe Ansatz Equations for the 1D Hubbard Model: Finite Lattice and Thermodynamic Limit

- Mathematics
- 2005

In this work, we present a proof of the existence of real and ordered solutions to the generalized Bethe Ansatz equations for the one dimensional Hubbard model on a finite lattice, with periodic…

### Ansatz Hubbard ’ s Adventures in N = 4 SYM-land ? Some non-perturbative considerations on finite length operators

- Physics
- 2006

Some non-perturbative considerations on finite length operators. Abstract As the Hubbard energy at half filling is believed to reproduce at strong coupling (part of) the all loop expansion of the…

### Finite temperature tensor network study of the Hubbard model on an infinite square lattice

- Physics
- 2022

The Hubbard model is a long-standing problem in the theory of strongly correlated electrons and a very active one in the experiments with ultracold fermionic atoms. Motivated by current and…

### Quantum Field Theories with Tensor Renormalization Group

- PhysicsProceedings of The 38th International Symposium on Lattice Field Theory — PoS(LATTICE2021)
- 2022

We report recent progress on the application of the tensor renormalization group (TRG) to quantum ﬁeld theories pursued by the Tsukuba group. We explain how to treat the scalar, fermion, and gauge…

### Classically efficient quantum scalable Fermi-Hubbard benchmark

- Computer Science, PhysicsPhysical Review A
- 2022

This work proposes and implements a practical, application-based benchmark that calculates the energy of the ground state in the single particle subspace of a 1-D Fermi Hubbard model, a problem which is efficient to solve classically.

### Fate of pairing and spin-charge separation in the presence of long-range antiferromagnetism

- PhysicsPhysical Review B
- 2022

We present a numerical study of competing orders in the 1D t-J model with long-range RKKY-like staggered spin interactions. By circumventing the constraints imposed by Mermin-Wagner’s theorem, this…

### Fluctuating local field approach to free energy of one-dimensional molecules with strong collective electronic fluctuations

- PhysicsPhysical Review B
- 2022

The impact of leading collective electronic fluctuations on a free energy of a prototype 1D model for molecular systems is considered within the recently developed Fluctuating Local Field (FLF)…

### One-dimensional narrow-band conductors

- PhysicsLow Temperature Physics
- 2021

We review one-dimensional lattice models and the corresponding results that describe the low-temperature properties of quasi-one-dimensional lattice systems with long-range interaction. A widely…

### Submission Introduction to the nested algebraic Bethe ansatz

- Mathematics
- 2021

We give a detailed description of the nested algebraic Bethe ansatz. We consider integrable models with a gl3-invariant R-matrix as the basic example, however, we also describe possible…

## References

SHOWING 1-10 OF 34 REFERENCES

### Absence of Mott Transition in an Exact Solution of the Short-Range, One-Band Model in One Dimension

- Physics
- 1968

The short-range, one-band model for electron correlations in a narrow energy band is solved exactly in the one-dimensional case. The ground-state energy, wave function, and the chemical potentials…

### Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction

- Mathematics
- 1967

### The Hubbard model - an introduction and selected rigorous results

- Physics
- 1998

The Hubbard model is a `highly oversimplified model' for electrons in a solid which interact with each other through extremely short-ranged repulsive (Coulomb) interaction. The Hamiltonian of the…

### On the theory of metals. 1. Eigenvalues and eigenfunctions for the linear atomic chain

- Mathematics
- 1931

### Tables of Integrals

- Mathematics
- 1962

By Herbert Bristol Dwight New York. London: The Macmillan Company. Pp. x + 336. Price 26s. A deservedly popular work of reference, first published almost thirty years ago, this book now appears in a…

### Zur Theorie der Metalle

- Physics
- 1931

ZusammenfassungEs wird eine Methode angegeben, um die Eigenfunktionen nullter und Eigenwerte erster Näherung (im Sinne des Approximationsverfahrens von London und Heitler) für ein „eindimensionales…

### Electron correlations in narrow energy bands. II. The degenerate band case

- PhysicsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- 1964

In a previous paper a theory of correlation effects in narrow s-bands was described. In this paper a generalization of that theory applicable to narrow degenerate electron bands is developed. The…

### VIOLATION OF THE NONCROSSING RULE: THE HUBBARD HAMILTONIAN FOR BENZENE *

- Physics
- 1971

The Hubbard Hamiltonian, while not one of the most successful models for π electrons in benzene, has been extensively investigated in the literature. As part of our general study of that model, we…