Quantum-Mechanical Position Operator and Localization in Extended Systems

Details Quantum-Mechanical Position Operator and Localization in Extended Systems Quantum-Mechanical Position Operator and Localization in Extended Systems

1998-10-26

arxiv.org/abs/cond-mat/9810348v1

Physics

Condensed Matter

4 pages, REVTEX, 1 ps figures

Scientific paper

10.1103/PhysRevLett.82.2560

We introduce a fundamental complex quantity, $z_{L}$, which allows us to discriminate between a conducting and non-conducting thermodynamic phase in extended quantum systems. Its phase can be related to the expectation value of the position operator, while its modulus provides an appropriate definition of a localization length. The expressions are valid for {\it any} fractional particle filling. As an illustration we use $z_{L}$ to characterize insulator to ``superconducting'' and Mott transitions in one-dimensional lattice models with infinite on-site Coulomb repulsion at quarter filling.

Affiliated with

Also associated with

No associations

Rating

Quantum-Mechanical Position Operator and Localization in Extended Systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Quantum-Mechanical Position Operator and Localization in Extended Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum-Mechanical Position Operator and Localization in Extended Systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-311562