Work

How Localized is an Extended Quantum System?

Year: 2000

Type: article

Abstract: We elaborate on a geometric characterization of the electromagnetic properties of matter. A fundamental complex quantity, zL, is introduced to study the localization properties of extended quantum systems. zL, which allows us to discriminate between conducting and non-conducting thermodynamic phases, has an illuminating physical (and geometric) interpretation. Its phase can be related to the expectation value of the position operator (and a Berry phase), while its modulus is associated with quantum electric polarization fluctuations (and a quantum metric). We also study the scaling behavior of zL in the one-dimensional repulsive Hubbard model.

Source: physica status solidi (b)

DOI: 10.1002/1521-3951(200007)220:1<737::aid-pssb737>3.3.co;2-0

Authors: G. Ortiz, A.A. Aligia

Institutions: Los Alamos National Laboratory, Balseiro Institute, Bariloche Atomic Centre, Comisión Nacional de Energía Atómica

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: U.S. Department of Energy, Consejo Nacional de Investigaciones Científicas y Técnicas, Agencia Nacional de Promoción Científica y Tecnológica

Award: G7378882120