# Decoherence-induced conductivity in the one-dimensional Anderson model

## Abstract

We study the effect of decoherence on the electron transport in the one-dimensional Anderson model by means of a statistical model [1, 2, 3, 4, 5]. In this model decoherence bonds are randomly distributed within the system, at which the electron phase is randomized completely. Afterwards, the transport quantity of interest (e.g. resistance or conductance) is ensemble averaged over the decoherence configurations. Averaging the resistance of the sample, the calculation can be performed analytically. In the thermodynamic limit, we find a decoherence-driven transition from the quantum-coherent localized regime to the Ohmic regime at a critical decoherence density, which is determined by the second-order generalized Lyapunov exponent (GLE) [4].

- Authors:

- Department of Physics, University of Duisburg-Essen and CENIDE, 47048 Duisburg (Germany)
- Department of Theoretical Physics, Budapest University of Technology and Economics, Budafoki út 8., H-1521 Budapest (Hungary)

- Publication Date:

- OSTI Identifier:
- 22308266

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: AIP Conference Proceedings; Journal Volume: 1610; Journal Issue: 1; Conference: TIDS15: 15. international conference on transport in interacting disordered systems, Sant Feliu de Guixols (Spain), 1-5 Sep 2013; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CONFIGURATION; ELECTRONS; LYAPUNOV METHOD; ONE-DIMENSIONAL CALCULATIONS; RANDOMNESS; STATISTICAL MODELS

### Citation Formats

```
Stegmann, Thomas, Wolf, Dietrich E., and Ujsághy, Orsolya.
```*Decoherence-induced conductivity in the one-dimensional Anderson model*. United States: N. p., 2014.
Web. doi:10.1063/1.4893515.

```
Stegmann, Thomas, Wolf, Dietrich E., & Ujsághy, Orsolya.
```*Decoherence-induced conductivity in the one-dimensional Anderson model*. United States. doi:10.1063/1.4893515.

```
Stegmann, Thomas, Wolf, Dietrich E., and Ujsághy, Orsolya. Wed .
"Decoherence-induced conductivity in the one-dimensional Anderson model". United States.
doi:10.1063/1.4893515.
```

```
@article{osti_22308266,
```

title = {Decoherence-induced conductivity in the one-dimensional Anderson model},

author = {Stegmann, Thomas and Wolf, Dietrich E. and Ujsághy, Orsolya},

abstractNote = {We study the effect of decoherence on the electron transport in the one-dimensional Anderson model by means of a statistical model [1, 2, 3, 4, 5]. In this model decoherence bonds are randomly distributed within the system, at which the electron phase is randomized completely. Afterwards, the transport quantity of interest (e.g. resistance or conductance) is ensemble averaged over the decoherence configurations. Averaging the resistance of the sample, the calculation can be performed analytically. In the thermodynamic limit, we find a decoherence-driven transition from the quantum-coherent localized regime to the Ohmic regime at a critical decoherence density, which is determined by the second-order generalized Lyapunov exponent (GLE) [4].},

doi = {10.1063/1.4893515},

journal = {AIP Conference Proceedings},

number = 1,

volume = 1610,

place = {United States},

year = {Wed Aug 20 00:00:00 EDT 2014},

month = {Wed Aug 20 00:00:00 EDT 2014}

}