Temperature-driven transition from the Wigner crystal to the bond-charge-density wave in the quasi-one-dimensional quarter-filled band

R. T. Clay, R. P. Hardikar, Sumitendra Mazumdar

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Abstract

It is known that within the interacting electron model Hamiltonian for the one-dimensional 1 4 -filled band, the singlet ground state is a Wigner crystal only if the nearest-neighbor electron-electron repulsion is larger than a critical value. We show that this critical nearest-neighbor Coulomb interaction is different for each spin subspace, with the critical value decreasing with increasing spin. As a consequence, with the lowering of temperature, there can occur a transition from a Wigner crystal charge-ordered state to a spin-Peierls state that is a bond-charge-density wave with charge occupancies different from the Wigner crystal. This transition is possible because spin excitations from the spin-Peierls state in the 1 4 -filled band are necessarily accompanied by changes in site charge densities. We apply our theory to the 1 4 -filled band quasi-one-dimensional organic charge-transfer solids, in general, and to 2:1 tetramethyltetrathiafulvalene (TMTTF) and tetramethyltetraselenafulvalene cationic salts, in particular. We believe that many recent experiments strongly indicate the Wigner crystal to bond-charge-density Wave transition in several members of the TMTTF family. We explain the occurrence of two different antiferromagnetic phases but a single spin-Peierls state in the generic phase diagram for the 2:1 cationic solids. The antiferromagnetic phases can have either the Wigner crystal or the bond-charge-spin-density wave charge occupancies. The spin-Peierls state is always a bond-charge-density wave.

Original languageEnglish (US)
Article number205118
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume76
Issue number20
DOIs
StatePublished - Nov 27 2007

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Charge density waves
Superconducting transition temperature
Crystals
crystals
Electrons
temperature
Spin density waves
Hamiltonians
Coulomb interactions
Charge density
Ground state
Phase diagrams
Charge transfer
Salts
electrons
charge transfer
phase diagrams
occurrences
salts
Experiments

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

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abstract = "It is known that within the interacting electron model Hamiltonian for the one-dimensional 1 4 -filled band, the singlet ground state is a Wigner crystal only if the nearest-neighbor electron-electron repulsion is larger than a critical value. We show that this critical nearest-neighbor Coulomb interaction is different for each spin subspace, with the critical value decreasing with increasing spin. As a consequence, with the lowering of temperature, there can occur a transition from a Wigner crystal charge-ordered state to a spin-Peierls state that is a bond-charge-density wave with charge occupancies different from the Wigner crystal. This transition is possible because spin excitations from the spin-Peierls state in the 1 4 -filled band are necessarily accompanied by changes in site charge densities. We apply our theory to the 1 4 -filled band quasi-one-dimensional organic charge-transfer solids, in general, and to 2:1 tetramethyltetrathiafulvalene (TMTTF) and tetramethyltetraselenafulvalene cationic salts, in particular. We believe that many recent experiments strongly indicate the Wigner crystal to bond-charge-density Wave transition in several members of the TMTTF family. We explain the occurrence of two different antiferromagnetic phases but a single spin-Peierls state in the generic phase diagram for the 2:1 cationic solids. The antiferromagnetic phases can have either the Wigner crystal or the bond-charge-spin-density wave charge occupancies. The spin-Peierls state is always a bond-charge-density wave.",
author = "Clay, {R. T.} and Hardikar, {R. P.} and Sumitendra Mazumdar",
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