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

2007/04/30 by R. Torsten Clay, R. T. Clay, R. P. Hardikar +2 · 28 citations
Chemistry · Engineering · Materials Science · Physics and Astronomy · #Antiferromagnetism #Atomic physics #Charge (physics) #Charge density #Charge density wave #Charge ordering #Chemistry #Condensed matter physics #Crystal (programming language) #Electron #Ground state #Magnetism in coordination complexes #Organic and Molecular Conductors Research #Perovskite Materials and Applications #Physics #Quantum mechanics #Spin (aerodynamics) #Superconductivity #Wigner crystal #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.76.205118

published in Physical Review B 76(20) (American Physical Society) · 12 pages, 8 EPS figures. Longer version of previous manuscript. Contains new numerical data as well as greatly expanded discussion

arxiv created 2007/09/21 · openalex publication_date 2007/11/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

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