Inelastic electron transport in granular arrays

A. Altland; L. I. Glazman; A. Kamenev; J. S. Meyer

doi:10.1016/j.aop.2005.12.012

Inelastic electron transport in granular arrays

A. Altland, L. I. Glazman, A. Kamenev, J. S. Meyer

Physics and Astronomy (Twin Cities)

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

21 Scopus citations

Abstract

Transport properties of granular systems are governed by Coulomb blockade effects caused by the discreteness of the electron charge. We show that, in the limit of vanishing mean level spacing on the grains, the low-temperature behavior of 1d and 2d arrays is insulating at any inter-grain coupling (characterized by a dimensionless conductance g). In 2d and g ≫ 1, there is a sharp Berezinskii-Kosterlitz-Thouless crossover to the conducting phase at a certain temperature, T_BKT. These results are obtained by applying an instanton analysis to map the conventional 'phase' description of granular arrays onto the dual 'charge' representation.

Original language	English (US)
Pages (from-to)	2566-2603
Number of pages	38
Journal	Annals of Physics
Volume	321
Issue number	11
DOIs	https://doi.org/10.1016/j.aop.2005.12.012
State	Published - Nov 2006

Bibliographical note

Funding Information:
We are grateful to K.B. Efetov, M. Fogler, and A.I. Larkin for valuable discussions. Work at the University of Minnesota was supported by the A.P. Sloan foundation and the NSF Grant DMR04-05212 (AK) and by NSF Grants DMR02-37296, and EIA02-10736 (LG). J.S.M. was partially supported by a Feodor Lynen fellowship of the Humboldt Foundation as well as by the US Department of Energy, Office of Science, under Contract No. W-31-109-ENG-38. Work at the University of Cologne was supported by Sonderforschungsbereich SFB/TR 12 of the Deutsche Forschungsgemeinschaft.

Keywords

Coulomb blockade
Granular arrays
Instantons
Localization
Metal-insulator transition
Quantum transport

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10.1016/j.aop.2005.12.012

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abstract = "Transport properties of granular systems are governed by Coulomb blockade effects caused by the discreteness of the electron charge. We show that, in the limit of vanishing mean level spacing on the grains, the low-temperature behavior of 1d and 2d arrays is insulating at any inter-grain coupling (characterized by a dimensionless conductance g). In 2d and g ≫ 1, there is a sharp Berezinskii-Kosterlitz-Thouless crossover to the conducting phase at a certain temperature, TBKT. These results are obtained by applying an instanton analysis to map the conventional 'phase' description of granular arrays onto the dual 'charge' representation.",

keywords = "Coulomb blockade, Granular arrays, Instantons, Localization, Metal-insulator transition, Quantum transport",

author = "A. Altland and Glazman, {L. I.} and A. Kamenev and Meyer, {J. S.}",

note = "Funding Information: We are grateful to K.B. Efetov, M. Fogler, and A.I. Larkin for valuable discussions. Work at the University of Minnesota was supported by the A.P. Sloan foundation and the NSF Grant DMR04-05212 (AK) and by NSF Grants DMR02-37296, and EIA02-10736 (LG). J.S.M. was partially supported by a Feodor Lynen fellowship of the Humboldt Foundation as well as by the US Department of Energy, Office of Science, under Contract No. W-31-109-ENG-38. Work at the University of Cologne was supported by Sonderforschungsbereich SFB/TR 12 of the Deutsche Forschungsgemeinschaft. ",

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T1 - Inelastic electron transport in granular arrays

AU - Altland, A.

AU - Glazman, L. I.

AU - Kamenev, A.

AU - Meyer, J. S.

N1 - Funding Information: We are grateful to K.B. Efetov, M. Fogler, and A.I. Larkin for valuable discussions. Work at the University of Minnesota was supported by the A.P. Sloan foundation and the NSF Grant DMR04-05212 (AK) and by NSF Grants DMR02-37296, and EIA02-10736 (LG). J.S.M. was partially supported by a Feodor Lynen fellowship of the Humboldt Foundation as well as by the US Department of Energy, Office of Science, under Contract No. W-31-109-ENG-38. Work at the University of Cologne was supported by Sonderforschungsbereich SFB/TR 12 of the Deutsche Forschungsgemeinschaft.

PY - 2006/11

Y1 - 2006/11

N2 - Transport properties of granular systems are governed by Coulomb blockade effects caused by the discreteness of the electron charge. We show that, in the limit of vanishing mean level spacing on the grains, the low-temperature behavior of 1d and 2d arrays is insulating at any inter-grain coupling (characterized by a dimensionless conductance g). In 2d and g ≫ 1, there is a sharp Berezinskii-Kosterlitz-Thouless crossover to the conducting phase at a certain temperature, TBKT. These results are obtained by applying an instanton analysis to map the conventional 'phase' description of granular arrays onto the dual 'charge' representation.

AB - Transport properties of granular systems are governed by Coulomb blockade effects caused by the discreteness of the electron charge. We show that, in the limit of vanishing mean level spacing on the grains, the low-temperature behavior of 1d and 2d arrays is insulating at any inter-grain coupling (characterized by a dimensionless conductance g). In 2d and g ≫ 1, there is a sharp Berezinskii-Kosterlitz-Thouless crossover to the conducting phase at a certain temperature, TBKT. These results are obtained by applying an instanton analysis to map the conventional 'phase' description of granular arrays onto the dual 'charge' representation.

KW - Coulomb blockade

KW - Granular arrays

KW - Instantons

KW - Localization

KW - Metal-insulator transition

KW - Quantum transport

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JO - Annals of Physics

JF - Annals of Physics

IS - 11

ER -

Inelastic electron transport in granular arrays

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