A non-Hermitian critical point and the correlation length of strongly correlated quantum systems

Details A non-Hermitian critical point and the correlation length of strongly correlated quantum systems A non-Hermitian critical point and the correlation length of strongly correlated quantum systems

2006-06-14

arxiv.org/abs/cond-mat/0606348v1

J. Phys. Soc. Jpn. 75 (2006) 104001 (12 pages)

Physics

Condensed Matter

Strongly Correlated Electrons

25 pages, 18 figures

Scientific paper

10.1143/JPSJ.75.104001

We study a non-Hermitian generalization of quantum systems in which an imaginary vector potential is added to the momentum operator. In the tight-binding approximation, we make the hopping energy asymmetric in the Hermitian Hamiltonian. In a previous article, we conjectured that the non-Hermitian critical point where the energy gap vanishes is equal to the inverse correlation length of the Hermitian system and we confirmed the conjecture for two exactly solvable systems. In this article, we present more evidence for the conjecture. We also argue the basis of our conjecture by noting the dispersion relation of the elementary excitation.

Affiliated with

Also associated with

No associations

Rating

A non-Hermitian critical point and the correlation length of strongly correlated quantum 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 A non-Hermitian critical point and the correlation length of strongly correlated quantum systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A non-Hermitian critical point and the correlation length of strongly correlated quantum systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-196659