Z2 spin liquid in kagome Heisenberg antiferromagnet


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_13110086,
            doi = {},
            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}}


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.