# Finkel'stein nonlinear sigma model: interplay of disorder and interaction in 2D electron systems

## TL;DR

This paper reviews recent theoretical advances using Finkel'stein's nonlinear sigma model to understand how disorder and electron interactions influence various two-dimensional electron systems, including topological insulators and quantum Hall systems.

## Contribution

It provides a comprehensive overview of the application of Finkel'stein's nonlinear sigma model to multiple 2D electron systems with different physical properties.

## Key findings

- Insights into electron interaction effects in 2D disordered systems
- Analysis of topological insulator surface states
- Understanding of quantum Hall phenomena

## Abstract

In this paper I briefly review recent theoretical results derived within the Finkel'stein nonlinear sigma model approach for description of 2D interacting disordered electron systems. The examples include an electron system with two valleys, electrons in a double quantum well, electrons on the surface of a topological insulator, an electron system with superconducting correlations, and the integer quantum Hall effect.