PIRSA:12050039 Conference

DOI10.48660/12050039

Conference/School: 4 Corner Southwest Ontario Condensed Matter Physics Symposium 2012

Melko, R. (2012). Spin liquid and Deconfined Criticality in a Kagome Lattice Bose-Hubbard Model. Perimeter Institute. https://pirsa.org/12050039

Melko, Roger. Spin liquid and Deconfined Criticality in a Kagome Lattice Bose-Hubbard Model. Perimeter Institute, May. 03, 2012, https://pirsa.org/12050039 

@misc{ pirsa_PIRSA:12050039,
  doi = {10.48660/12050039},
  url = {https://pirsa.org/12050039},
  author = {Melko, Roger},
  keywords = {},
  language = {en},
  title = {Spin liquid and Deconfined Criticality in a Kagome Lattice Bose-Hubbard Model},
  publisher = {Perimeter Institute},
  year = {2012},
  month = {may},
  note = {PIRSA:12050039 see, \url{https://pirsa.org}}
}

Abstract

We present large-scale quantum Monte Carlo simulations on a sign-problem free Bose-Hubbard model on the kagome lattice. This model supports a quantum Z2 spin liquid phase with fractional excitations and topological order, which can be characterized definitively through calculation of the topological entanglement entropy.  I will outline how the entanglement entropy can be measured in general using a direct implementation of the "replica trick", which allows for the study of entanglement scaling in a variety of other models amenable to study by QMC.  Finally, I will examine the kagome model's superfluid/spin-liquid transition, which is an example of an exotic deconfined quantum critical point called XY*, mediated by the fractional charges.  This fact is demonstrated in several universal quantities that we measure, and may also be reflected the scaling of entanglement entropy at the critical point.

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