Please use this identifier to cite or link to this item:
https://hdl.handle.net/20.500.12202/4842
Title: | Self-averaging behavior at the metal-insulator transition of many-body quantum systems out of equilibrium . |
Authors: | Torres-Herrera, E. Jonathan Schiulaz, Mauro Pérez-Bernal, Francisco Santos, Lea F. 0000-0001-9400-2709 |
Keywords: | Self-averaging behavior Statistical Mechanics metal-insulator transition many-body quantum systems equilibrium |
Issue Date: | Oct-2019 |
Citation: | Torres-Herrera, E. Jonathan ; Schiulaz, Mauro ; Pérez-Bernal, Francisco ; Santos, Lea F. (24 Oct 2019). Self-averaging behavior at the metal-insulator transition of many-body quantum systems out of equilibrium. arXiv:1910.11332v1 [cond-mat.stat-mech] |
Series/Report no.: | cond-mat.stat-mech;arXiv:1910.11332v1 |
Abstract: | An observable of a disordered system is self-averaging when its properties do not depend on the specific realization considered. Lack of self-averaging, on the other hand, implies that sample to sample fluctuations persist no matter how large the system is. The latter scenario is often found in the vicinity of critical points, such as at the metal-insulator transition of interacting many-body quantum systems. Much attention has been devoted to these systems at equilibrium, but little is known about their self-averaging behavior out of equilibrium, which is the subject of this work. We consider two local and two non-local quantities in real space that are of great experimental and theoretical interest. In the metallic phase, we show that their self-averaging behavior is highly dependent on the observable itself and on the time scale, but the picture simplifies substantially as we approach localization. In this phase, the local quantities are self-averaging at any time, while the non-local ones are non-self-averaging at all time scales. |
Description: | Scholarly article (pre-print) |
URI: | https://arxiv.org/abs/1910.11332 https://hdl.handle.net/20.500.12202/4842 |
Appears in Collections: | Stern College for Women -- Faculty Publications |
Files in This Item:
File | Description | Size | Format | |
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Santos Self-averaging 1910.11332.pdf | arXiv | 2.89 MB | Adobe PDF | View/Open |
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