PIRSA:22120022

Topology of the Fermi sea: ordinary metals as topological materials

APA

Tam, P.M. (2022). Topology of the Fermi sea: ordinary metals as topological materials. Perimeter Institute. https://pirsa.org/22120022

MLA

Tam, Pok Man. Topology of the Fermi sea: ordinary metals as topological materials. Perimeter Institute, Dec. 08, 2022, https://pirsa.org/22120022

BibTex

          @misc{ pirsa_22120022,
            doi = {10.48660/22120022},
            url = {https://pirsa.org/22120022},
            author = {Tam, Pok Man},
            keywords = {Condensed Matter},
            language = {en},
            title = {Topology of the Fermi sea: ordinary metals as topological materials},
            publisher = {Perimeter Institute},
            year = {2022},
            month = {dec},
            note = {PIRSA:22120022 see, \url{https://pirsa.org}}
          }
          

Pok Man Tam University of Pennsylvania

Collection
Talk Type Scientific Series

Abstract

It has long been known that the quantum ground state of a metal is characterized by an abstract manifold in the momentum space called the Fermi sea. Fermi sea can be distinguished topologically in much the same way that a ball can be distinguished from a donut by counting the number of holes. The associated topological invariant, i.e. the Euler characteristic (χ_F), serves to classify metals. Here I will survey two recent proposals relating χ_F  to experimental observables, namely: (i) equal-time density/number correlations, and (ii) Andreev state transport along a planar Josephson junction. Moreover, from the perspective of quantum information, I will explain how multipartite entanglement in real space probes the Fermi sea topology in momentum space. Our works not only suggest a new connection between topology and entanglement in gapless quantum matters, but also suggest accessible experimental platforms to extract the topology in metals. 

Zoom link:  https://pitp.zoom.us/j/98944473905?pwd=ak5nVmd4N0pSdXpjOFM0YnFJdnJ4dz09