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Eberlein, Andreas

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Eberlein

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Andreas

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Eberlein, Andreas

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2016 - 20172

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    Hyperscaling violation at the Ising-nematic quantum critical point in two-dimensional metals
    (American Physical Society (APS), 2016) Eberlein, Andreas; Mandal, Ipsita; Sachdev, Subir
    Understanding optical conductivity data in the optimally doped cuprates in the framework of quantum criticality requires a strongly-coupled quantum critical metal which violates hyperscaling. In the simplest scaling framework, hyperscaling violation can be characterized by a single non-zero exponent ✓, so that in a spatially isotropic state in d spatial dimensions, the specific heat scales with temperature as T(d!✓)/z, and the optical conductivity scales with frequency as !(d!✓!2)/z for ! ! T, where z is the dynamic critical exponent. We study the Ising-nematic critical point, using the controlled dimensional regularization method proposed by Dalidovich and Lee (Phys. Rev. B 88, 245106 (2013)). We find that hyperscaling is violated, with ✓ = 1 in d = 2. We expect that similar results apply to Fermi surfaces coupled to gauge fields in d = 2.
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    Shear Viscosity at the Ising-Nematic Quantum Critical Point in Two-Dimensional Metals
    (American Physical Society (APS), 2017-02-15) Eberlein, Andreas; Patel, Aavishkar; Sachdev, Subir
    In an isotropic strongly interacting quantum liquid without quasiparticles, general scaling arguments imply that the dimensionless ratio (kB/ℏ)η/s, where η is the shear viscosity and s is the entropy density, is a universal number. We compute the shear viscosity of the Ising-nematic critical point of metals in spatial dimension d=2 by an expansion below d=5/2. The anisotropy associated with directions parallel and normal to the Fermi surface leads to a violation of the scaling expectations: η scales in the same manner as a chiral conductivity, and the ratio η/s diverges at low temperature (T) as T−2/z, where z is the dynamic critical exponent for fermionic excitations dispersing normal to the Fermi surface.