Collective effects in an incompressible electronic liquid
作者机构：Department of Physics The Chinese University of Hong Kong Department of Physics TQM Technische Universitat Munchen Institute of Physics Chinese Academy of Sciences Songshan Lake Materials Laboratory Kavli Institute for Theoretical Sciences & CAS Center for Excellence in Topological Quantum Computation University of Chinese Academy of Sciences
出 版 物：《National Science Review》 (国家科学评论(英文版))
年 卷 期：2023年第10卷第6期
页 面：168-182页
核心收录：
学科分类：07[理学] 070201[理学-理论物理] 0701[理学-数学] 0702[理学-物理学]
基 金：supported in part by the National Natural Science Foundation of China (12034004 and 12274441) the K. C. Wong Education Foundation (GJTD-2020-01) the Strategic Priority Research Program of the Chinese Academy of Sciences(XDB28000000). supported by a General Research Fund from the Research Grants Council (14302021) a Direct Grant from the Chinese University of Hong Kong (4053416) supported by the European Research Council (ERC) under the European Unions Horizon 2020 Research and Innovation program (771537)
主 题：quantum spin liquid Landau-type effective theory collective modes zero sound first sound
摘 要：Starting from Landau’ s kinetic equation,we show that an electronic liquid in d=2,3 spatial dimensions depicted by a Landau-type effective theory will become incompressible on condition that the Landau parameters satisfy either(ⅰ) 1+F1s/d=0 or(ⅱ) F0s→+∞. Condition(ⅰ) is the Pomeranchuk instability in the current channel and suggests a quantum spin liquid(QSL) state with a spinon Fermi surface;while condition(ⅱ) means that the strong repulsion in the charge channel leads to a conventional charge and thermal insulator.In the collisionless regime(ωτ1) and the hydrodynamic regime(ωτ1),the zero and first sound modes have been studied and classified by symmetries,including the longitudinal and transverse modes in d=2,3 and the higher angular momentum modes in d=3.The sufficient(and/or necessary) conditions of these collective modes have been revealed.It has been demonstrated that some of these collective modes will behave in quite different manners under incompressibility condition(ⅰ) or(ⅱ).Possible nematic QSL states and a hierarchy structure for gapless QSL states have been proposed in d=3.
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