Exact results for metallic quantum critical points
APA
Goldman, H. (2022). Exact results for metallic quantum critical points. Perimeter Institute. https://pirsa.org/22080002
MLA
Goldman, Hart. Exact results for metallic quantum critical points. Perimeter Institute, Aug. 11, 2022, https://pirsa.org/22080002
BibTex
@misc{ pirsa_PIRSA:22080002, doi = {10.48660/22080002}, url = {https://pirsa.org/22080002}, author = {Goldman, Hart}, keywords = {Condensed Matter}, language = {en}, title = {Exact results for metallic quantum critical points}, publisher = {Perimeter Institute}, year = {2022}, month = {aug}, note = {PIRSA:22080002 see, \url{https://pirsa.org}} }
I discuss how exact, non-perturbative results can be obtained for both optical transport and static susceptibilities in “Hertz-Millis” theories of Fermi surfaces coupled to critical bosons. Such models possess a large emergent symmetry and anomaly structure, which we leverage to fix these quantities. In particular, I will show that in the infrared limit, the boson self energy at zero wave vector is a constant independent of frequency, and the real part of the optical conductivity is purely a delta function Drude peak with no other corrections. I will also obtain exact relations between Fermi liquid parameters as the critical point is approached from the disordered phase.
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