Optical and spectral properties of quantum domain-walls in the generalized Wigner lattice

Abstract

We study the spectral properties of a system of electrons interacting through long-range Coulomb potential on a one-dimensional chain. When the interactions dominate over the electronic bandwidth, the charges arrange in an ordered configuration that minimizes the electrostatic energy, forming Hubbard's generalized Wigner lattice. In such strong coupling limit, the low energy excitations are quantum domain-walls that behave as fractionalized charges, and can be bound in excitonic pairs. Neglecting higher order excitations, the system properties are well described by an effective Hamiltonian in the subspace with one pair of domain-walls, which can be solved exactly. The optical conducitivity $\sigma (\omega )$ and the spectral function $A(k,\omega )$ can be calculated analytically, and reveal unique features of the unscreened Coulomb interactions that can be directly observed in experiments.

References in corpus (7)

• Hole crystallization in the spin ladder of Sr14Cu24O41
• Theoretical Aspects of Charge Ordering in Molecular Conductors
• Wigner crystallization in Na(3)Cu(2)O(4) and Na(8)Cu(5)O(10) chain compounds
• Quantum melting of the hole crystal in the spin ladder of Sr14-xCaxCu24O41
• Charge and spin order in one-dimensional electron systems with long-range Coulomb interactions
• Domain-wall excitons and optical conductivity in one-dimensional Wigner lattices
• Fractional charges and spin-charge separation in one-dimensional Wigner lattices

Cited by in corpus (5)

• Unconventional metallic conduction in two-dimensional Hubbard-Wigner lattices
• Signatures of polaronic charge ordering in optical and dc conductivity using dynamical mean field theory
• Relaxation dynamics in the one-dimensional organic charge-transfer salt δ-(EDT-TTF-CONMe${}_2$)${}_2$Br
• Magnetism of one-dimensional Wigner lattices and its impact on charge order
• Dimer-Mott and charge-ordered insulating states in the quasi-one-dimensional organic conductors ${\delta }_P^{\prime }$- and ${\delta }_C^{\prime }$-(BPDT-TTF)${}_2$ICl${}_2$