Localization of overdamped bosonic modes and transport in strange metals

• 成果类型: Article
• 署名作者: Patel, Aavishkar A.; Lunts, Peter; Sachdev, Subir
• 署名单位: Simons Foundation; Flatiron Institute; Harvard University
• 刊物名称: PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
• ISSN/ISSBN: 0027-14688
• DOI: 10.1073/pnas.2402052121
• 发表日期: 2024-04-02
• 关键词: behavior

摘要

The strange metal phase of correlated electrons materials was described in a recent theory by a model of a Fermi surface coupled a two-dimensional quantum critical bosonic field with a spatially random Yukawa coupling. With the assumption of selfaveraging randomness, similar to that in the Sachdev-Ye-Kitaev model, numerous observed properties of a strange metal were obtained for a wide range of intermediate temperatures, including the linear in temperature resistivity. The Harris criterion implies that spatial fluctuations in the local position of the critical point must dominate at lower temperatures. For an M -component boson with M >= 2, we use multiple graphics processing units (GPUs) to compute the real frequency spectrum of the boson propagator in a self -consistent mean -field treatment of the boson self -interactions, but an exact treatment of multiple realizations of the spatial randomness from the random boson mass. We find that Landau damping from the fermions leads to the emergence of the physics of the random transverse -field Ising model at low temperatures, as has been proposed by Hoyos, Kotabage, and Vojta. This regime is controlled by localized overdamped eigenmodes of the bosonic scalar field, also has a resistivity which is nearly linear -in -temperature, and extends into a quantum critical phase away from the quantum critical point, as observed in several cuprates. For the M = 1 Ising scalar, the mean -field treatment is not applicable, and so we use Hybrid Monte Carlo simulations running on multiple GPUs; we find a rounded transition and localization physics, with strange metal behavior in an extended region around the transition.