Exact electron addition spectrum in 1D supersymmetric t-J model with 1/r2 interaction

M. Arikawa; T. Yamamoto; Y. Saiga; Y. Kuramoto

doi:10.1016/j.nuclphysb.2004.09.012

Exact electron addition spectrum in 1D supersymmetric t-J model with 1/r² interaction

M. Arikawa, T. Yamamoto, Y. Saiga, Y. Kuramoto

SCI - Physics

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

3 Citations (Scopus)

Abstract

The electron addition spectrum A⁺ (k, ω) is obtained analytically for the one-dimensional supersymmetric t-J model with 1/r² interaction. The spectral function A⁺ (k, ω) has a simple analytic form with contributions from one spinon, one holon and one antiholon all of which obey fractional statistics. The upper edge of A⁺ (k, ω) in the (k, ω) plane includes a delta-function peak which reduces to that of the single-electron band in the low-density limit. This peak is interpreted as a result of spin-charge recombination. Our derivation relies on the ideas of Yangian highest weight states and Jack polynomials adapted to the SU(1,1) supersymmetry.

Original language	English
Pages (from-to)	380-418
Number of pages	39
Journal	Nuclear Physics B
Volume	702
Issue number	3
DOIs	https://doi.org/10.1016/j.nuclphysb.2004.09.012
Publication status	Published - 2004 Dec 13

Keywords

Electron addition spectrum
Fractional statistics
Luttinger liquid
Supersymmetric t-J model
Sutherland model

ASJC Scopus subject areas

Nuclear and High Energy Physics

Access to Document

10.1016/j.nuclphysb.2004.09.012

Cite this

@article{7242d87ac905436583360f104cc006ed,

title = "Exact electron addition spectrum in 1D supersymmetric t-J model with 1/r2 interaction",

abstract = "The electron addition spectrum A+ (k, ω) is obtained analytically for the one-dimensional supersymmetric t-J model with 1/r2 interaction. The spectral function A+ (k, ω) has a simple analytic form with contributions from one spinon, one holon and one antiholon all of which obey fractional statistics. The upper edge of A+ (k, ω) in the (k, ω) plane includes a delta-function peak which reduces to that of the single-electron band in the low-density limit. This peak is interpreted as a result of spin-charge recombination. Our derivation relies on the ideas of Yangian highest weight states and Jack polynomials adapted to the SU(1,1) supersymmetry.",

keywords = "Electron addition spectrum, Fractional statistics, Luttinger liquid, Supersymmetric t-J model, Sutherland model",

author = "M. Arikawa and T. Yamamoto and Y. Saiga and Y. Kuramoto",

note = "Funding Information: The authors would like to thank Y. Kato, H. Yokoyama, P.J. Forrester, K. Penc, A. Muramatsu, F.F. Assaad, C. Lavalle, and M. Kollar for valuable discussions. M.A. acknowledges the support of the Visitor Program of MPI-PKS, and the Australian Research Council (ARC). Y.S. is supported by JSPS Research Fellowships for Young Scientists. T.Y. is supported by the ARC. ",

year = "2004",

month = dec,

day = "13",

doi = "10.1016/j.nuclphysb.2004.09.012",

language = "English",

volume = "702",

pages = "380--418",

journal = "Nuclear Physics B",

issn = "0550-3213",

publisher = "Elsevier",

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TY - JOUR

T1 - Exact electron addition spectrum in 1D supersymmetric t-J model with 1/r2 interaction

AU - Arikawa, M.

AU - Yamamoto, T.

AU - Saiga, Y.

AU - Kuramoto, Y.

N1 - Funding Information: The authors would like to thank Y. Kato, H. Yokoyama, P.J. Forrester, K. Penc, A. Muramatsu, F.F. Assaad, C. Lavalle, and M. Kollar for valuable discussions. M.A. acknowledges the support of the Visitor Program of MPI-PKS, and the Australian Research Council (ARC). Y.S. is supported by JSPS Research Fellowships for Young Scientists. T.Y. is supported by the ARC.

PY - 2004/12/13

Y1 - 2004/12/13

N2 - The electron addition spectrum A+ (k, ω) is obtained analytically for the one-dimensional supersymmetric t-J model with 1/r2 interaction. The spectral function A+ (k, ω) has a simple analytic form with contributions from one spinon, one holon and one antiholon all of which obey fractional statistics. The upper edge of A+ (k, ω) in the (k, ω) plane includes a delta-function peak which reduces to that of the single-electron band in the low-density limit. This peak is interpreted as a result of spin-charge recombination. Our derivation relies on the ideas of Yangian highest weight states and Jack polynomials adapted to the SU(1,1) supersymmetry.

AB - The electron addition spectrum A+ (k, ω) is obtained analytically for the one-dimensional supersymmetric t-J model with 1/r2 interaction. The spectral function A+ (k, ω) has a simple analytic form with contributions from one spinon, one holon and one antiholon all of which obey fractional statistics. The upper edge of A+ (k, ω) in the (k, ω) plane includes a delta-function peak which reduces to that of the single-electron band in the low-density limit. This peak is interpreted as a result of spin-charge recombination. Our derivation relies on the ideas of Yangian highest weight states and Jack polynomials adapted to the SU(1,1) supersymmetry.

KW - Electron addition spectrum

KW - Fractional statistics

KW - Luttinger liquid

KW - Supersymmetric t-J model

KW - Sutherland model

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U2 - 10.1016/j.nuclphysb.2004.09.012

DO - 10.1016/j.nuclphysb.2004.09.012

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EP - 418

JO - Nuclear Physics B

JF - Nuclear Physics B

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