Work

Gaussian-Bond Hall Viscosity and Nonlocal Hall Response of a Sampled Landau Level

Year: 2026

Type: preprint

Abstract: Hall viscosity on a lattice depends on how strain changes microscopic hopping amplitudes. For a specified Gaussian envelope, bond-length derivatives close on the undeformed hopping, expressing the stress as an embedded momentum Hessian and relating the viscosity to higher-order band geometry. In the Kapit--Mueller parent family at rational flux, we show that the stress response equals the strain curvature of the sampled-LLL Gram matrix. The density-normalized viscosity approaches the continuum value 1/4, with an exponentially small sampling correction at finite flux. By contrast, for a straight-bond Peierls source, a low-frequency mass, and a fixed-envelope susceptibility, the viscosity--conductivity comparison exhibits an algebraic deviation, whose leading coefficient follows from a weak-field expansion.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2605.27059

Authors: Shu, Danyu, Sano, Ryotaro, Yamakage, Ai, Funaki, Hiroshi, Matsuo, Mamoru

Institutions: Kavli Institute for Theoretical Sciences, University of Chinese Academy of Sciences, The Institute for Solid State Physics, The University of Tokyo, Nagoya University, Keio University, Spintronics Research Network of Japan

Language: English

Topic: Quantum and electron transport phenomena

Subfield: Condensed Matter Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7162517713

Cites: 15

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Related to: 10