# Charge and spin order in one-dimensional electron systems with long-range Coulomb interactions

@article{Valenzuela2003ChargeAS, title={Charge and spin order in one-dimensional electron systems with long-range Coulomb interactions}, author={Bel'en Valenzuela and Simone Fratini and Dionys Baeriswyl}, journal={Physical Review B}, year={2003}, volume={68}, pages={045112} }

We study a system of electrons interacting through long-range Coulomb forces on a one-dimensional lattice, by means of a variational ansatz which is the strong-coupling counterpart of the Gutzwiller wave function. Our aim is to describe the quantum analogue of Hubbard's classical ``generalized Wigner crystal.'' We first analyze charge ordering in a system of spinless fermions, with particular attention to the effects of lattice commensurability. We argue that for a general (rational) number of…

## 27 Citations

Wigner Crystallization of Electrons in a One-Dimensional Lattice: A Condensation in the Space of States.

- PhysicsPhysical review letters
- 2021

The ground state of a system of spinless electrons interacting through a screened Coulomb potential in a lattice ring is studied and it is shown that, when the effective interaction compares with the kinetic energy, the system forms a Wigner crystal undergoing a first-order quantum phase transition.

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…

Exact diagonalization of a one-dimensional Hubbard model at density rho=0.4: Effects of Coulomb repulsions and distant transfer

- Physics
- 2007

An extended Hubbard model that includes not only on-site but also intersite Coulomb repulsion and distant transfer is numerically investigated using the exact Lanczos diagonalization method for…

Variational study of the interacting, spinless Su-Schrieffer-Heeger model.

- PhysicsJournal of physics. Condensed matter : an Institute of Physics journal
- 2018

To obtain the ground state wave-function, the Baeriswyl variational wave function is extended to account for alternating hopping parameters and results suggest that the correlation acts to break the chiral symmetry of the Su-Schrieffer-Heeger model, in the same way as it happens when a Rice-Mele onsite potential is turned on.

Density functional study of collective electron localization: detection by persistent current.

- PhysicsJournal of physics. Condensed matter : an Institute of Physics journal
- 2009

The calculation shows that the macroscopic current, which is a quantity directly accessible in DFT, can serve as an indicator of the formation of a correlated electron state, as expected in the mean-field-type DFT-OEP approach.

Second-order electronic correlation effects in a one-dimensional metal

- Physics
- 2005

The Pariser-Parr-Pople (PPP) model of a single-band one-dimensional (1D) metal is studied at the Hartree-Fock level, and by using the second-order perturbation theory of the electronic correlation.…

The Peierls instability and charge density wave in one-dimensional electronic conductors

- Physics
- 2016

Strong Coulomb effects in hole-doped Heisenberg chains

- Physics
- 2005

Abstract.Substances such as the “telephone number compound” Sr14Cu24O41 are intrinsically hole-doped. The involved interplay of spin
and charge dynamics is a challenge for theory. In this article
…

## References

SHOWING 1-10 OF 22 REFERENCES

Effects of long-range electronic interactions on a one-dimensional electron system

- Physics
- 2000

The effects of a long range electronic potential on a one dimensional chain of spinless fermions are investigated by numerical techniques (Exact Diagonalisation of rings with up to 30 sites…

Unscreened Coulomb repulsion in the one-dimensional electron gas

- Physics
- 1999

A tight binding model of electrons interacting via bare Coulomb repulsion is numerically investigated by use of the Density Matrix Renormalization Group method which we prove applicable also to very…

Wigner crystal in one dimension.

- PhysicsPhysical review letters
- 1993

The results allow a consistent interpretation of the plasmon and spin excitations observed in one-dimensional semiconductor structures, and suggest an interpretation of some of the observed features in terms of ``spinons.

Quantum phase transitions to charge-ordered and Wigner-crystal states under the interplay of lattice commensurability and long-range Coulomb interactions.

- PhysicsPhysical review letters
- 2002

The relationship among the Wigner crystal, charge ordering, and the Mott insulator is studied by the path-integral renormalization group method in two-dimensional systems with long-range Coulomb interaction, showing a large reduction from r(s) approximately 35 in the continuum limit.

Variational Monte Carlo Studies of the Hubbard Model in One- and Two-Dimensions –Off-Diagonal Intersite Correlation Effects–

- Physics
- 1992

We investigate the ground state properties of the one- and the two-dimensional Hubbard models using a new variational Monte Carlo method. By generalizing the Gutzwiller variational wave function (GF)…

Antiferromagnetic Phases of One-Dimensional Quarter-Filled Organic Conductors

- Physics, Materials Science
- 1997

The magnetic structure of antiferromagnetically ordered phases of quasi-one-dimensional organic conductors is studied theoretically at absolute zero based on the mean field approximation to the…

Insulator-metal transition in one dimension induced by long-range electronic interactions

- Physics, Materials Science
- 1997

The effects of a long range electronic potential on a one dimensional commensurate Charge Density Wave (CDW) state are investigated. Using numerical techniques it is shown that a transition to a…

Variational Schemes for Many-Electron Systems

- Physics
- 1987

A brief summary of variational methods for many-electron systems is given with main emphasis on approaches a la Gutzwiller. A simple ansatz is proposed for the large U limit of the Hubbard model and…

Dielectric catastrophe at the Mott transition.

- PhysicsPhysical review letters
- 2001

The critical behavior shows that the Mott transition is infinite order for all t', whether or not a spin gap is present, and that hyperscaling holds.

Ground state of the two-dimensional electron gas.

- PhysicsPhysical review. B, Condensed matter
- 1989

The electron system is found to be in the normal- (paramagnetic) fluid state below the transition density, but the fully polarized state is very close in energy.