The Crossover from One to Three Dimensions: Peierls and Spin-Peierls Instabilities

Schulz, H.

doi:10.1007/978-1-4899-3611-0_7

Cited by 7 publications

(1 citation statement)

References 51 publications

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“…While true long-range order only exists at T = 0, the position of the low-temperature peak in C V can be regarded as a coherence scale at which pronounced 2k F correlations set in and which marks the emergence of a clear Peierls energy gap. The thermal crossover is described by a correlation length ξ(T ) [46]. While ξ(T ) → ∞ for T → 0, corresponding to long-range order, the correlation length is finite at T > 0 where charge or bond correlations decay exponentially.…”

Section: Thermodynamicsmentioning

confidence: 99%

Thermodynamic and spectral properties of adiabatic Peierls chains

2016

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We present exact numerical results for the effects of thermal fluctuations on the experimentally relevant thermodynamic and spectral properties of Peierls chains. To this end, a combination of classical Monte Carlo sampling and exact diagonalization is used to study adiabatic half-filled Holstein and Su-Schrieffer-Heeger models. The classical nature of the lattice displacements in combination with parallel tempering permit simulations on large system sizes and a direct calculation of spectral functions in the frequency domain. Most notably, the long-range order and the associated Peierls gap give rise to a distinct low-temperature peak in the specific heat. The closing of the gap and suppression of order by thermal fluctuations involves in-gap excitations in the form of soliton-antisoliton pairs, and is also reflected in the dynamic density and bond structure factors as well as in the optical conductivity. We compare our data to the widely used mean-field approximation, and highlight relations to symmetry-protected topological phases and disorder problems.

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Section: Thermodynamicsmentioning

confidence: 99%

Thermodynamic and spectral properties of adiabatic Peierls chains

2016

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Solid‐State Physics

Metzger¹

2012

The Physical Chemist's Toolbox

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DC Conductivity and Peierls instability in the quasi‐one‐dimensional organic charge density wave conductor (fluoranthene)₂X

1992

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Due to the high anisotropy of the dc conductivity (o,,/oL = lo4) the organic conductor (fluoranthene),X can be regarded as a model system for studying the Peierls instability in quasione-dimensional systems. The temperature dependence of the dc conductivity o,, ( T ) along the highly conducting crystal axis exhibits the typical behaviour of a quasi-one-dimensional metal with a Peierls transition at about 180 K to a charge density wave (CDW) ground state. As expected for a highly onedimensional conductor the exact transition temperature depends on three-dimensional coupling effects and therefore on the size of the counterion X -= PF, , AsF, , SbF, . Above the Peierls transition cr,, ( T ) can be described quantitatively within a model of CDW fluctuations leading to a pseudo gap in the electronic density of states. Below, the existence of a real energy gap at the Fermi level with a BCS-like temperature dependence determines the charge transport over more than eight orders of magnitude in the electrical resistance. For the intrinsic energy gaps 2A(O), which characterize the ground state of the Peierls semiconductor, values of 120-180 meV have been found for different crystals.

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The Crossover from One to Three Dimensions: Peierls and Spin-Peierls Instabilities

Cited by 7 publications

References 51 publications

Thermodynamic and spectral properties of adiabatic Peierls chains

Thermodynamic and spectral properties of adiabatic Peierls chains

Solid‐State Physics

DC Conductivity and Peierls instability in the quasi‐one‐dimensional organic charge density wave conductor (fluoranthene)₂X

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The Crossover from One to Three Dimensions: Peierls and Spin-Peierls Instabilities

Cited by 7 publications

References 51 publications

Thermodynamic and spectral properties of adiabatic Peierls chains

Thermodynamic and spectral properties of adiabatic Peierls chains

Solid‐State Physics

DC Conductivity and Peierls instability in the quasi‐one‐dimensional organic charge density wave conductor (fluoranthene)2X

Contact Info

Product

Resources

About

DC Conductivity and Peierls instability in the quasi‐one‐dimensional organic charge density wave conductor (fluoranthene)₂X