Geometry and topological order in the Luttinger liquid state | Zendy

H. V. Kruis | Zendy; Ian P. McCulloch | Zendy; Zohar Nussinov | Zendy; Jan Zaanen | Zendy

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Geometry and topological order in the Luttinger liquid state

Author(s) -

H. V. Kruis,

Ian P. McCulloch,

Zohar Nussinov,

Jan Zaanen

Publication year - 2004

Publication title -

epl (europhysics letters)

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.625

H-Index - 165

eISSN - 1286-4854

pISSN - 0295-5075

DOI - 10.1209/epl/i2003-10114-3

Subject(s) - bosonization , luttinger liquid , physics , order (exchange) , spin (aerodynamics) , topology (electrical circuits) , state (computer science) , charge (physics) , topological order , topological quantum number , theoretical physics , quantum mechanics , mathematics , fermion , quantum , combinatorics , finance , algorithm , economics , thermodynamics

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.

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