Anisotropic Non-Fermi Liquids

          @misc{ pirsa_PIRSA:15070061,
            doi = {10.48660/15070061},
            url = {https://pirsa.org/15070061},
            author = {Lee, Sung-Sik},
            keywords = {Condensed Matter, Quantum Gravity, Quantum Information},
            language = {en},
            title = {Anisotropic Non-Fermi Liquids  },
            publisher = {Perimeter Institute},
            year = {2015},
            month = {jul},
            note = {PIRSA:15070061 see, \url{https://pirsa.org}}
          }
          

Abstract

We study non-Fermi liquids that arise at the quantum critical points associated with the spin and charge density wave transitions in metals with the C2 symmetry. We use the dimensional regularization scheme, where a one-dimensional Fermi surface is embedded in 3 − epsilon dimensional momentum space. In three dimensions, marginal Fermi liquids arise at the spin and charge density wave critical points. Below three dimensions, a perturbative anisotropic non-Fermi liquid is realized at the spin density wave critical point, where not only time but also different spatial coordinates develop distinct anomalous dimensions. On the other hand, the perturbative expansion breaks down at the charge density wave critical point immediately below three dimensions.