Electron transport in two-dimensional arrays

Julia S. Meyer, Alex Kamenev, Leonid I. Glazman

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


We study charge transport in a granular array with high intergrain conductances. We show that the system exhibits a Berezinskii-Kosterlitz-Thouless crossover from the high-temperature conducting state into a low-temperature insulating state. The crossover takes place at a critical temperature T BKT∞Ecexp{-g}, where Ec is the charging energy of a grain and g ≫ 1 is the dimensionless intergrain conductance. A uniformly applied gate voltage drives the insulator into a conducting charge liquid state followed by an insulating lattice-pinned Wigner crystal state at larger values of the gate voltage. Technically, we establish correspondence between the charge and phase representations, employing the instanton gas summation in the framework of the phase model.

Original languageEnglish (US)
Article number045310
Pages (from-to)045310-1-045310-11
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number4
StatePublished - Jul 2004

Bibliographical note

Funding Information:
We are grateful to A. Altland for valuable discussions. This work was supported by NSF Grant No. DMR01-20702, DMR02-37296, and EIA02-10736. Furthermore, JSM was supported by a Feodor Lynen fellowship of the Humboldt Foundation. AK and JSM acknowledge the hospitality of KITP (UCSB), where part of this research was done under NSF Grant Nos. PHY99-07949.


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