PIRSA:13110086 Scientific Series Condensed Matter

DOI10.48660/13110086

Series: Quantum Matter

Wan, Y. (2013). Z2 spin liquid in kagome Heisenberg antiferromagnet. Perimeter Institute. https://pirsa.org/13110086

Wan, Yuan. Z2 spin liquid in kagome Heisenberg antiferromagnet. Perimeter Institute, Nov. 05, 2013, https://pirsa.org/13110086 

@misc{ pirsa_PIRSA:13110086,
  doi = {10.48660/13110086},
  url = {https://pirsa.org/13110086},
  author = {Wan, Yuan},
  keywords = {Condensed Matter},
  language = {en},
  title = {Z2 spin liquid in kagome Heisenberg antiferromagnet},
  publisher = {Perimeter Institute},
  year = {2013},
  month = {nov},
  note = {PIRSA:13110086 see, \url{https://pirsa.org}}
}

Abstract

A quantum spin liquid is a hypothesized ground state of a magnet without long-range magnetic order. Similar to a liquid, which is spatially uniform and strongly correlated, a quantum spin liquid preserves all the symmetries and exhibits strong correlations between spins. First proposed by P. W. Anderson in 1973, it has remained a conjecture until recently. In the past couple of years, numerical studies have provided strong evidences for quantum spin liquid in a simple model, the kagome Heisenberg antiferromagnet. In this talk, I will describe a low-energy effective theory for this magnet in terms of a lattice gauge theory with the simplest possible mathematical structure (a group of two elements, namely Z2). I will show that the theory reproduces many characteristic features observed numerically, thereby providing a bridge between the numeircs and the analytics. Furthermore, I will present theoretical predictions which could be tested in future numerical studies.

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