Spin Liquid Ground State of the $S=1/2$ Kagome Heisenberg Model

Details Spin Liquid Ground State of the $S=1/2$ Kagome Heisenberg Model Spin Liquid Ground State of the $S=1/2$ Kagome Heisenberg Model

2010-11-29

arxiv.org/abs/1011.6114v1

Physics

Condensed Matter

Strongly Correlated Electrons

8 pages, 7 figures

Scientific paper

Condensed matter physicists have long sought a realistic two-dimensional (2D) magnetic system whose ground state is a {\it spin liquid}---a zero temperature state in which quantum fluctuations have melted away any form of magnetic order. The nearest-neighbor $S=1/2$ Heisenberg model on the kagome lattice has seemed an ideal candidate, but in recent years some approximate numerical approaches to it have yielded instead a valence bond crystal. We have used the density matrix renormalization group to perform very accurate simulations on numerous cylinders with circumferences up to 12 lattice spacings, finding instead of the valence bond crystal a singlet-gapped spin liquid with substantially lower energy that appears to have $Z_2$ topological order. Our results, through a combination of very low energy, short correlation lengths and corresponding small finite size effects, a new rigorous energy bound, and consistent behavior on many cylinders, provide strong evidence that the 2D ground state of this model is a gapped spin liquid.

Affiliated with

Also associated with

No associations

Rating

Spin Liquid Ground State of the $S=1/2$ Kagome Heisenberg Model 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 Spin Liquid Ground State of the $S=1/2$ Kagome Heisenberg Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spin Liquid Ground State of the $S=1/2$ Kagome Heisenberg Model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-220143