Geometry and topological order in the Luttinger liquid state

H. V. Kruis; I. P. McCulloch; Z. Nussinov; J. Zaanen

doi:10.1209/epl/i2003-10114-3

Geometry and topological order in the Luttinger liquid state

H. V. Kruis
, I. P. McCulloch
, Z. Nussinov
, J. Zaanen

Department of Physics

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

We demonstrate the existence of a form of topological order in the Luttinger liquid state, which appears crucial to the notion of spin-charge separation. This order, which is closely related to the hidden order characterizing the Haldane spin chains, appears to be incompletely specified in the Tomonaga-Luttinger picture from bosonization. Thus, we use numerical calculations to complete the picture.

Original language	English
Pages (from-to)	512-518
Number of pages	7
Journal	EPL
Volume	65
Issue number	4
DOIs	https://doi.org/10.1209/epl/i2003-10114-3
State	Published - Feb 2004

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title = "Geometry and topological order in the Luttinger liquid state",

abstract = "We demonstrate the existence of a form of topological order in the Luttinger liquid state, which appears crucial to the notion of spin-charge separation. This order, which is closely related to the hidden order characterizing the Haldane spin chains, appears to be incompletely specified in the Tomonaga-Luttinger picture from bosonization. Thus, we use numerical calculations to complete the picture.",

author = "Kruis, \{H. V.\} and McCulloch, \{I. P.\} and Z. Nussinov and J. Zaanen",

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AU - Kruis, H. V.

AU - McCulloch, I. P.

AU - Nussinov, Z.

AU - Zaanen, J.

PY - 2004/2

Y1 - 2004/2

N2 - We demonstrate the existence of a form of topological order in the Luttinger liquid state, which appears crucial to the notion of spin-charge separation. This order, which is closely related to the hidden order characterizing the Haldane spin chains, appears to be incompletely specified in the Tomonaga-Luttinger picture from bosonization. Thus, we use numerical calculations to complete the picture.

AB - We demonstrate the existence of a form of topological order in the Luttinger liquid state, which appears crucial to the notion of spin-charge separation. This order, which is closely related to the hidden order characterizing the Haldane spin chains, appears to be incompletely specified in the Tomonaga-Luttinger picture from bosonization. Thus, we use numerical calculations to complete the picture.

UR - https://www.scopus.com/pages/publications/1142289385

U2 - 10.1209/epl/i2003-10114-3

DO - 10.1209/epl/i2003-10114-3

M3 - Article

AN - SCOPUS:1142289385

SN - 0295-5075

VL - 65

SP - 512

EP - 518

JO - EPL

JF - EPL

IS - 4

ER -

Geometry and topological order in the Luttinger liquid state

Abstract

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