Electron transport in two-dimensional arrays
arXiv:cond-mat/0401343 · doi:10.1103/PhysRevB.70.045310
Abstract
We study charge transport in a granular array with high inter-grain 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} \propto E_c exp{-g}, where E_c is the charging energy of a grain and g >> 1 is the dimensionless inter-grain 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.
arXiv comment12 pages, 4 figures
References in corpus (10)
- Quantum Effects in Coulomb Blockade
- Coulomb blockade at almost perfect transmission
- Theory of strong inelastic co-tunneling
- Transport properties of granular metals at low temperatures
- Coulomb Blockade without Tunnel Junctions
- Transition from insulating to a non-insulating temperature dependence of the conductivity in granular metals
- Quantum interference and Coulomb interaction in arrays of tunnel junctions
- Weak Charge Quantization on Superconducting Islands
- Electron Transport in Granular Metals
- Single Electron Tunneling at Large Conductance: The Semiclassical Approach
Cited by in corpus (10)
- Granular Electronic Systems
- Density of States and Conductivity of Granular Metal or Array of Quantum Dots
- Coulomb effects and hopping transport in granular metals
- Inelastic electron transport in granular arrays
- Dissipation-driven quantum phase transition in superconductor-graphene systems
- Quantum percolation in granular metals
- Electronic correlations and disorder in transport through one-dimensional nanoparticle arrays
- Weak localization effects in granular metals
- Universal temperature dependence of the conductivity of a strongly disordered granular metal
- Nonperturbative interaction effects in the thermodynamics of disordered wires