Topological phases in graphene


Papic, Z. (2014). Topological phases in graphene. Perimeter Institute. https://pirsa.org/14020134


Papic, Zlatko. Topological phases in graphene. Perimeter Institute, Feb. 10, 2014, https://pirsa.org/14020134


          @misc{ pirsa_PIRSA:14020134,
            doi = {10.48660/14020134},
            url = {https://pirsa.org/14020134},
            author = {Papic, Zlatko},
            keywords = {},
            language = {en},
            title = {Topological phases in graphene},
            publisher = {Perimeter Institute},
            year = {2014},
            month = {feb},
            note = {PIRSA:14020134 see, \url{https://pirsa.org}}

Zlatko Papic University of Leeds


As realized for the first time in 1980s, quantum many-body systems in reduced spatial dimensions can sometimes undergo a special type of ordering which does not break any symmetry but introduces long-range entanglement and emergent excitations that have radically different properties from their original constituents. Most of our experimental knowledge of such ``topological" phases of matter comes from studies of two-dimensional electron gases in GaAs semiconductors in high magnetic fields and at low temperatures. In the first part of this talk, I will give an introduction to these systems and review some latest theoretical developments related to their entanglement properties. In the second part, I will discuss new possibilities
for experimental realizations of topological phases in bilayer graphene. I will present evidence that this material supports an ``even-denominator" fractional state, related to the Moore-Read state, whose observation has recently been reported. Finally, I will outline several proposals based on the tunability of the electron-electron interactions in bilayer graphene which might enable further experimental progress beyond GaAs.