Conductance of correlated many-fermion systems from charge fluctuations

He, Y.; Kennes, D. M.; Meden, V.

doi:10.1103/PhysRevB.105.165120

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Conductance of correlated many-fermion systems from charge fluctuations

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Kennes, D. M.
Institut für Theorie der Statistischen Physik, RWTH Aachen University and JARA—Fundamentals of Future Information Technology;
Theory Group, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society;
Center for Free-Electron Laser Science;

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https://arxiv.org/abs/2111.01120
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https://doi.org/10.1103/PhysRevB.105.165120
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PhysRevB.105.165120.pdf
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Citation

He, Y., Kennes, D. M., & Meden, V. (2022). Conductance of correlated many-fermion systems from charge fluctuations. Physical Review B, 105(16): 165120. doi:10.1103/PhysRevB.105.165120.

Cite as: https://hdl.handle.net/21.11116/0000-0009-72DD-E

Abstract

We put forward a relation between the static charge fluctuations and the conductance of correlated many-fermion systems at zero temperature, avoiding the use of time-dependent fluctuations as in the fluctuation-dissipation theorem. Static charge fluctuations can efficiently be computed for low-dimensional systems using tensor network approaches, while the conductance is often significantly more difficult to obtain, requiring a challenging low-frequency linear response computation or an explicit time evolution. We put this relation to the test for quantum dot and quantum point contact setups, where in limiting cases exact results are known. Our study includes systems in which the one-dimensional reservoirs are interacting.