PIRSA:14120042

Viscous and Thermal Transport in Topological Phases

APA

(2014). Viscous and Thermal Transport in Topological Phases . Perimeter Institute. https://pirsa.org/14120042

MLA

Viscous and Thermal Transport in Topological Phases . Perimeter Institute, Dec. 12, 2014, https://pirsa.org/14120042

BibTex

          @misc{ pirsa_PIRSA:14120042,
            doi = {10.48660/14120042},
            url = {https://pirsa.org/14120042},
            author = {},
            keywords = {Condensed Matter},
            language = {en},
            title = {Viscous and Thermal Transport in Topological Phases },
            publisher = {Perimeter Institute},
            year = {2014},
            month = {dec},
            note = {PIRSA:14120042 see, \url{https://pirsa.org}}
          }
          
Collection
Talk Type Scientific Series

Abstract

One hallmark of topological phases with broken time reversal symmetry is the appearance of quantized non-dissipative transport coefficients, the archetypical example being the quantized Hall conductivity in quantum Hall states. Here I will talk about two other non-dissipative transport coefficients that appear in such systems - the Hall viscosity and the thermal Hall conductivity. In the first part of the talk, I will start by reviewing previous results concerning the Hall viscosity, including its relation to a topological invariant known as the shift. Next, I will show how the Hall viscosity can be computed from a Kubo formula. For Galilean invariant systems, the Kubo formula implies a relationship between the viscosity and conductivity tensors which may have relevance for experiment. In the second part of the talk, I will discuss the thermal Hall conductivity, its relation to the central charge of the edge theory, and in particular the absence of a bulk contribution to the thermal Hall current. I will do this by constructing a low-energy effective theory in a curved non-relativistic background, allowing for torsion. I will show that the bulk contribution to the thermal current takes the form of an "energy magnetization" current, and hence show that it does not contribute to heat transport.