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Colloquium: The spin-incoherent Luttinger liquid

Fiete, Gregory A. (2007) Colloquium: The spin-incoherent Luttinger liquid. Reviews of Modern Physics, 79 (3). pp. 801-820. ISSN 0034-6861. doi:10.1103/RevModPhys.79.801.

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In contrast to the well-known Fermi-liquid theory of three dimensions, interacting one-dimensional and quasi-one-dimensional systems of fermions are described at low energy by an effective theory known as Luttinger liquid theory. This theory is expressed in terms of collective many-body excitations that show exotic behavior such as spin-charge separation. Luttinger liquid theory is commonly applied on the premise that “low energy” describes both the spin and charge sectors. However, when the interactions in the system are very strong, as they typically are at low particle densities, the ratio of spin to charge energy may become exponentially small. It is then possible at very low temperatures for the single-spin excitation energy to be low compared to the characteristic single excitation charge energy, but still high compared to the characteristic spin energy. This energy window of near ground-state charge degrees of freedom but highly thermally excited spin degrees of freedom is called a spin-incoherent Luttinger liquid. The spin-incoherent Luttinger liquid exhibits a higher degree of universality than the Luttinger liquid and its properties are qualitatively distinct. In this Colloquium some recent theoretical developments in the field are detailed and experimental indications of such a regime in gated semiconductor quantum wires are described.

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Additional Information:©2007 The American Physical Society (Published 13 July 2007) I am grateful and deeply indebted to all my collaborators on this subject: Ophir Auslaender, Leon Balents, Bert Halperin, Markus Kindermann, Karyn Le Hur, Jiang Qian, Hadar Steinberg, Yaroslav Tserkovnyak, Amir Yacoby, and to the countless others with whom I have had insightful discussions. Among them are Matthew Fisher, Akira Furusaki, Thierry Giamarchi, Leonid Glazman, and Kostya Matveev. This work was supported by NSF Grants No. PHY05-51164 and No. DMR04-57440, the Packard Foundation, and the Lee A. DuBridge Foundation. I am also grateful for the hospitality of the Aspen Center for Physics where part of this work was done.
Subject Keywords:Luttinger liquid; semiconductor quantum wires; spin systems
Issue or Number:3
Record Number:CaltechAUTHORS:FIErmp07
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:8504
Deposited By: Archive Administrator
Deposited On:16 Aug 2007
Last Modified:08 Nov 2021 20:50

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