New exact results for the two-phase model with several conserved currents

Oded Agam; Igor L. Aleiner; Dror Orgad

doi:10.1016/j.aop.2019.168004

New exact results for the two-phase model with several conserved currents

Oded Agam^*, Igor L. Aleiner, Dror Orgad

^*Corresponding author for this work

Racah Institute of Physics

Research output: Contribution to journal › Article › peer-review

Abstract

We consider the macroscopic transport properties of two-dimensional random binary mixtures with identical spatial distributions of the two phases. Previous studies have obtained exact analytical results for the electrical conductivity of a single layer with and without a magnetic field, as well as for the thermoelectric response of a magnetic field-free double-layer. Here, we generalize these exact solutions to the magneto-thermoelectric response of a single layer and to the thermoelectric response of a double-layer. The magneto-thermoelectric transport coefficients of the double-layer are calculated perturbatively for weak magnetic field.

Original language	American English
Article number	168004
Journal	Annals of Physics
Volume	411
DOIs	https://doi.org/10.1016/j.aop.2019.168004
State	Published - Dec 2019

Bibliographical note

Funding Information:
This research was supported by the Israel Science Foundation (ISF) Grant No. 302/14 (O.A.) and Grant No. 701/17 (D.O.), by the Binational Science Foundation (BSF) Grant No. 2014265 (D.O.), and by the Simons Foundation (I.A.). Appendix

Publisher Copyright:
© 2019 Elsevier Inc.

Keywords

Double layer graphene
Drag
Two phase model

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10.1016/j.aop.2019.168004

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title = "New exact results for the two-phase model with several conserved currents",

abstract = "We consider the macroscopic transport properties of two-dimensional random binary mixtures with identical spatial distributions of the two phases. Previous studies have obtained exact analytical results for the electrical conductivity of a single layer with and without a magnetic field, as well as for the thermoelectric response of a magnetic field-free double-layer. Here, we generalize these exact solutions to the magneto-thermoelectric response of a single layer and to the thermoelectric response of a double-layer. The magneto-thermoelectric transport coefficients of the double-layer are calculated perturbatively for weak magnetic field.",

keywords = "Double layer graphene, Drag, Two phase model",

author = "Oded Agam and Aleiner, {Igor L.} and Dror Orgad",

note = "Funding Information: This research was supported by the Israel Science Foundation (ISF) Grant No. 302/14 (O.A.) and Grant No. 701/17 (D.O.), by the Binational Science Foundation (BSF) Grant No. 2014265 (D.O.), and by the Simons Foundation (I.A.). Appendix Publisher Copyright: {\textcopyright} 2019 Elsevier Inc.",

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doi = "10.1016/j.aop.2019.168004",

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AU - Aleiner, Igor L.

AU - Orgad, Dror

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PY - 2019/12

Y1 - 2019/12

N2 - We consider the macroscopic transport properties of two-dimensional random binary mixtures with identical spatial distributions of the two phases. Previous studies have obtained exact analytical results for the electrical conductivity of a single layer with and without a magnetic field, as well as for the thermoelectric response of a magnetic field-free double-layer. Here, we generalize these exact solutions to the magneto-thermoelectric response of a single layer and to the thermoelectric response of a double-layer. The magneto-thermoelectric transport coefficients of the double-layer are calculated perturbatively for weak magnetic field.

AB - We consider the macroscopic transport properties of two-dimensional random binary mixtures with identical spatial distributions of the two phases. Previous studies have obtained exact analytical results for the electrical conductivity of a single layer with and without a magnetic field, as well as for the thermoelectric response of a magnetic field-free double-layer. Here, we generalize these exact solutions to the magneto-thermoelectric response of a single layer and to the thermoelectric response of a double-layer. The magneto-thermoelectric transport coefficients of the double-layer are calculated perturbatively for weak magnetic field.

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KW - Drag

KW - Two phase model

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DO - 10.1016/j.aop.2019.168004

M3 - Article

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SN - 0003-4916

VL - 411

JO - Annals of Physics

JF - Annals of Physics

M1 - 168004

ER -

New exact results for the two-phase model with several conserved currents

Abstract

Bibliographical note

Keywords

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