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Anomalous Hydrodynamics in a One-Dimensional Electronic Fluid

Protopopov, I. V.; Samanta, R.; Mirlin, A. D. 1,2; Gutman, D. B.
1 Institut für Theorie der Kondensierten Materie (TKM), Karlsruher Institut für Technologie (KIT)
2 Institut für Quantenmaterialien und -technologien (IQMT), Karlsruher Institut für Technologie (KIT)

Abstract (englisch):

We construct multimode viscous hydrodynamics for one-dimensional spinless electrons. Depending on the scale, the fluid has six (shortest lengths), four (intermediate, exponentially broad regime), or three (asymptotically long scales) hydrodynamic modes. Interaction between hydrodynamic modes leads to anomalous scaling of physical observables and waves propagating in the fluid. In the four-mode regime, all modes are ballistic and acquire Kardar-Parisi-Zhang (KPZ)-like broadening with asymmetric power-law tails. “Heads” and “tails” of the waves contribute equally to thermal conductivity, leading to ω−1/3 scaling of its real part. In the three-mode regime, the system is in the universality class of a classical viscous fluid [O. Narayan and S. Ramaswamy, Anomalous Heat Conduction in One-Dimensional Momentum-Conserving Systems, Phys. Rev. Lett. 89, 200601 (2002)., H. Spohn, Nonlinear fluctuating hydrodynamics for anharmonic chains, J. Stat. Phys. 154, 1191 (2014).]. Self-interaction of the sound modes results in a KPZ-like shape, while the interaction with the heat mode results in asymmetric tails. The heat mode is governed by Levy flight distribution, whose power-law tails give rise to ω−1/3 scaling of heat conductivity.

DOI: 10.1103/PhysRevLett.126.256801
Zitationen: 1
Zitationen: 1
Zugehörige Institution(en) am KIT Institut für Quantenmaterialien und -technologien (IQMT)
Institut für Theorie der Kondensierten Materie (TKM)
Publikationstyp Zeitschriftenaufsatz
Publikationsjahr 2021
Sprache Englisch
Identifikator ISSN: 0031-9007, 1079-7114
KITopen-ID: 1000135110
HGF-Programm 47.12.01 (POF IV, LK 01) Advanced Solid-State Qubits and Qubit Systems
Erschienen in Physical review letters
Verlag American Physical Society (APS)
Band 126
Heft 25
Seiten Art.-Nr.: 256801
Vorab online veröffentlicht am 22.06.2021
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