Tomonaga-Luttinger-liquid criticality: numerical entanglement entropy approach

Details Tomonaga-Luttinger-liquid criticality: numerical entanglement entropy approach Tomonaga-Luttinger-liquid criticality: numerical entanglement entropy approach

2011-10-19

arxiv.org/abs/1110.4340v1

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 5 figures, 3 tables

Scientific paper

The von Neumann entanglement entropy is studied with the density-matrix renormalization group technique. We propose a simple approach to calculate the central charge using the entanglement entropy for one-dimensional (1D) quantum system. This approach is applied to a couple of quantum systems: (i) 1D frustrated spin model and (ii) 1D half-filled spinless fermions with nearest-neighbor repulsion; and, it is confirmed that the central charge is estimated very accurately for the both systems. Also, a new method to determine the critical point between TL-liquid and gapped (or ordered) phases from the proposed approach is suggested. Furthermore, we mention that the Tomonaga-Luttinger parameter can be obtained in a like manner as the central charge, using the charge-density fluctuation of a part of the 1D system.

Affiliated with

Also associated with

No associations

Rating

Tomonaga-Luttinger-liquid criticality: numerical entanglement entropy approach 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 Tomonaga-Luttinger-liquid criticality: numerical entanglement entropy approach, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Tomonaga-Luttinger-liquid criticality: numerical entanglement entropy approach will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-597713