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Finite Element Modelling of a Cellular Electric Microenvironment

Finite Element Modelling of a Cellular Electric Microenvironment

Published on: May 18, 2021

Dimensional crossover driven by an electric field.

Camille Aron¹, Gabriel Kotliar, Cedric Weber

¹Department of Physics and Astronomy, Rutgers University, Piscataway, New Jersey 08854, USA.

Physical Review Letters

|April 3, 2012

Summary

This summary is machine-generated.

Strong electric fields drive dimensional reduction in the dissipative Hubbard model. This effect alters spectral functions and steady currents, revealing a crossover to lower-dimensional behavior.

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Area of Science:

Condensed matter physics
Quantum mechanics
Statistical mechanics

Background:

The Hubbard model describes interacting electrons in solids.
Understanding driven quantum systems is crucial for novel electronic devices.
Dissipation and external fields introduce non-equilibrium dynamics.

Purpose of the Study:

Investigate the Hubbard model under a constant electric field and heat bath.
Analyze the phenomenon of dimensional reduction induced by strong electric fields.
Characterize the non-equilibrium steady-state properties.

Main Methods:

Derivation of steady-state equations for dynamical mean-field theory (DMFT) with dissipation.
Analysis of the Hubbard model in the presence of a strong electric field.
Calculation of spectral functions and energy distribution functions.

Main Results:

Observed dimensional reduction in the driven Hubbard model under strong electric fields.
The system effectively behaves as a lower-dimensional equilibrium Hubbard model.
Electric field-induced dimensional crossover impacts spectral properties and steady currents.

Conclusions:

Strong electric fields can induce dimensional crossovers in dissipative quantum systems.
This phenomenon offers new pathways to control electronic properties.
The derived DMFT equations provide a framework for studying driven, dissipative systems.