Spectral Function of a Quarter-Filled One-Dimensional Charge Density Wave Insulator

Eßler, Fabian H. L.; Tsvelik, A. M.

doi:10.1103/physrevlett.88.096403

Cited by 25 publications

(36 citation statements)

References 21 publications

(33 reference statements)

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“…11,22 One-quarter-filled bands in other quasi-onedimensional compounds, such as the Bechgaard salts, have produced strongly correlated Mott states, charge-densitywave phases with spinon and soliton excitations, and hints of Luttinger liquid behavior. 5,[52][53][54][55][56][57][58] The abundance of gold chain reconstructions on silicon suggests the promise of a large degree of control over the electronic structure, which should make it possible to explore a large region of the electronic phase diagram and to find some of the exotic states predicted for one-dimensional electrons.…”

Section: Discussionmentioning

confidence: 99%

Chains of gold atoms with tailored electronic states

et al. 2004

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A combination of angle-resolved photoemission and scanning tunneling microscopy is used to explore the possibilities for tailoring the electronic structure of gold atom chains on silicon surfaces. It is shown that the interchain coupling and the band filling can be adjusted systematically by varying the step spacing via the tilt angle from Si͑111͒. Planes with odd Miller indices are stabilized by chains of gold atoms. Metallic bands and Fermi surfaces are observed. These findings suggest that atomic chains at stepped semiconductor substrates make a highly flexible class of solids approaching the one-dimensional limit.

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Section: Discussionmentioning

confidence: 99%

Chains of gold atoms with tailored electronic states

et al. 2004

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“…[12,13] integral representations for the form factors of the current operator in the SGM were derived. Using these results we can determine the first few terms of the expansion (32). From (32) it is easy to see for any given frequency ω only a finite number of intermediate states will contribute: the delta function forces the sum of single-particle gaps j M j to be less than ω. Expansions of the form (32) are usually found to exhibit a rapid convergence, which can be understood in terms of phase space arguments [15,16].…”

Section: Optical Conductivitymentioning

confidence: 99%

“…Using these results we can determine the first few terms of the expansion (32). From (32) it is easy to see for any given frequency ω only a finite number of intermediate states will contribute: the delta function forces the sum of single-particle gaps j M j to be less than ω. Expansions of the form (32) are usually found to exhibit a rapid convergence, which can be understood in terms of phase space arguments [15,16]. Therefore we expect that summing the first few terms in (32) will give us good results over a large frequency range.…”

Section: Optical Conductivitymentioning

confidence: 99%

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Dynamical Response of Quasi 1D Mott Insulators

Eßler

Tsvelik

2003

Ann. Henri Poincaré

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At low energies cert.ain one dimensional Mott insulators can be described in terms of an exactly solvable quantum field theory, the U(1) Thirring model. Using exact results derived from integrability we determine dynamical properties like the frequency dependent optical conductivity and the single-particle Green's function. We discuss the effects of a small temperature and the effects on interchain tunneling in a model of infinitely many weakly coupled chains. IMore precisely, these compounds are considered to be chargetransfer insulators. The simplest models used in the description of one dimensional Mott insulators are "extended" Hubbard models of the form fi =-t [ c ~ , , c ~ + I , ~ + h.c.1 + U C n k , T n k. l + V, C n k n k + j (1) where n k , , = cL,,ck,, and n k = n k , ~ + n k. 1 are electron number operators. The electron-electron interaction terms mimic the effects of a screened Coulomb interaction. Two cases are of particular interest from the point of view of application to e.g. the Bechgaard salts [4, 71: (1) Half filling (1 electron per site) and (2) Quarter filling (1 electron per 2 sites). We will discuss both these cases and emphasize similarities and differences in their dynamical response.

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“…An analogous procedure has been used to calculate the spectral function of a Hubbard model at commensurate filling. 44 We pass to the Lagrangian formalism, and rescale the fields toφ − = 2…”

Section: A Soliton Form Factor Solutionmentioning

confidence: 99%

Dynamic response functions and helical gaps in interacting Rashba nanowires with and without magnetic fields

et al. 2016

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A partially gapped spectrum due to the application of a magnetic field is one of the main probes of Rashba spin-orbit coupling in nanowires. Such a "helical gap" manifests itself in the linear conductance, as well as in dynamic response functions such as the spectral function, the structure factor, or the tunnelling density of states. In this paper, we investigate theoretically the signature of the helical gap in these observables with a particular focus on the interplay between Rashba spin-orbit coupling and electron-electron interactions. We show that in a quasi-one-dimensional wire, interactions can open a helical gap even without magnetic field. We calculate the dynamic response functions using bosonization, a renormalization group analysis, and the exact form factors of the emerging sine-Gordon model. For special interaction strengths, we verify our results by refermionization. We show how the two types of helical gaps, caused by magnetic fields or interactions, can be distinguished in experiments.

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Spectral Function of a Quarter-Filled One-Dimensional Charge Density Wave Insulator

Cited by 25 publications

References 21 publications

Chains of gold atoms with tailored electronic states

Chains of gold atoms with tailored electronic states

Dynamical Response of Quasi 1D Mott Insulators

Dynamic response functions and helical gaps in interacting Rashba nanowires with and without magnetic fields

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