Inelastic electron transport in granular arrays
arXiv:cond-mat/0507695 · doi:10.1016/j.aop.2005.12.012
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.
24 pages, 8 figures
References in corpus (15)
- Quantum Effects in Coulomb Blockade
- Coulomb effects in granular materials at not very low temperatures
- Percolating through networks of random thresholds: Finite temperature electron tunneling in metal nanocrystal arrays
- Transport properties of granular metals at low temperatures
- Density of States and Conductivity of Granular Metal or Array of Quantum Dots
- Replica field theories, Painleve transcendents, and exact correlation functions
- Transition from insulating to a non-insulating temperature dependence of the conductivity in granular metals
- Universal Description of Granular Metals at Low Temperatures: Granular Fermi Liquid
- Weak Charge Quantization on Superconducting Islands
- Electron Transport in Granular Metals
- Low-frequency dynamics of disordered XY spin chains and pinned density waves: from localized spin waves to soliton tunneling
- Localization from sigma-model geodesics
- Tunneling density of states of granular metals
- Electron transport in two-dimensional arrays
- Mesoscopic charging effects in the -model for granular metals
Cited by in corpus (14)
- Granular Electronic Systems
- Quantum criticality of granular SYK matter
- Charge relaxation resistance in the Coulomb blockade problem
- Geometric Quantum Noise of Spin
- Coulomb Blockade and Super Universality of the Theta-Angle
- Relaxation dynamics of the electron distribution in the Coulomb blockade problem
- The problem of "macroscopic charge quantization" in single-electron devices
- Korshunov instantons out of equilibrium
- Grand canonical partition function of a serial metallic island system
- Two-instanton approximation to the Coulomb blockade problem
- Instantons in the out-of-equilibrium Coulomb blockade
- Korshunov instantons in a superconductor at elevated bias current
- Coulomb blockade of chiral Majorana and complex fermions far from equilibrium
- Nonperturbative interaction effects in the thermodynamics of disordered wires