PIRSA:13020147 Scientific Series Condensed Matter

DOI10.48660/13020147

Series: Quantum Matter

Depenbrock, S. (2013). DMRG Studies on the Spin Liquid Ground State of the Kagome Model. Perimeter Institute. https://pirsa.org/13020147

Depenbrock, Stefan. DMRG Studies on the Spin Liquid Ground State of the Kagome Model. Perimeter Institute, Feb. 26, 2013, https://pirsa.org/13020147 

@misc{ pirsa_PIRSA:13020147,
  doi = {10.48660/13020147},
  url = {https://pirsa.org/13020147},
  author = {Depenbrock, Stefan},
  keywords = {Condensed Matter},
  language = {en},
  title = {DMRG Studies on the Spin Liquid Ground State of the Kagome Model},
  publisher = {Perimeter Institute},
  year = {2013},
  month = {feb},
  note = {PIRSA:13020147 see, \url{https://pirsa.org}}
}

Abstract

I will present a density-matrix renormalization group (DMRG) study of the S=1/2 Heisenberg antiferromagnet on the kagome lattice to identify the conjectured spin liquid ground state. Exploiting SU(2) spin symmetry, which allows us to keep up to 16,000 DMRG states, we consider cylinders with circumferences up to 17 lattice spacings and find a spin liquid ground state with an estimated per site energy of -0.4386(5), a spin gap of 0.13(1), very short-range decay in spin, dimer and chiral correlation functions and finite topological entanglement consistent with the logarithm of 2, ruling out gapless, chiral or non-topological spin liquids. All this would provide strong evidence for a gapped topological Z_2 spin liquid.

Resources

Next talk

Related Talks