Random walk in distorted crystal structure

Dolgov, A. S.

doi:10.1007/bf00898492

Soviet Physics Journal

1978

DOI: 10.1007/bf00898492

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Random walk in distorted crystal structure

A. S. Dolgov

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2018

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“…3 can be written as Θ(p, s) ≡ Θ(p, 0; s). Angular vector interactions of this type are generalizations of effective interactions that have frequently appeared in the literature in the context of dielectric functions on a lattice [23][24][25][26]. In these scenarios, angular terms arise due to coupling of long-range Coulomb interactions with either elastic lattice vibrations [26] or modulations of the Wigner lattice [23].…”

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confidence: 99%

Inequivalence of the zero-momentum Limits of Transverse and Longitudinal Dielectric Response in the Cuprates

Setty¹,

Padhi²,

Limtragool³

et al. 2018

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We address the question of the mismatch between the zero momentum limits of the transverse and longitudinal dielectric functions for a fixed direction of the driving field observed in the cuprates. This question translates to whether or not the order in which the longitudinal and transverse momentum transfers are taken to zero commute. While the two limits commute for both isotropic and anisotropic Drude metals, we argue that a scaleless vertex interaction that depends solely on the angle between scattered electron momenta is sufficient to achieve non-commutativity of the two limits even for a system that is inherently isotropic. We demonstrate this claim for a simple case of the Drude conductivity modified by electron-boson interactions through appropriate vertex corrections, and outline possible consequences of our result to optical and electron energy loss spectroscopy (EELS) measurements close to zero momentum transfer.

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mentioning

confidence: 99%

Inequivalence of the zero-momentum Limits of Transverse and Longitudinal Dielectric Response in the Cuprates

Setty¹,

Padhi²,

Limtragool³

et al. 2018

Preprint

View full text Add to dashboard Cite

show abstract

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Random walk in distorted crystal structure

Cited by 1 publication

References 2 publications

Inequivalence of the zero-momentum Limits of Transverse and Longitudinal Dielectric Response in the Cuprates

Inequivalence of the zero-momentum Limits of Transverse and Longitudinal Dielectric Response in the Cuprates

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