Universität zu Köln

Bondesan, Roberto and Quella, Thomas ORCID: 0000-0002-5441-4124 (2014). Infinite matrix product states for long-range SU(N) spin models. Nucl. Phys. B, 886. S. 483 - 524. AMSTERDAM: ELSEVIER SCIENCE BV. ISSN 1873-1562

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Abstract

We construct 1D and 2D long-range SU(N) spin models as parent Hamiltonians associated with infinite matrix product states. The latter are constructed from correlators of primary fields in the SU(N)(1) WZW model. Since the resulting groundstates are of Gutzwiller Jastrow type, our models can be regarded as lattice discretizations of fractional quantum Hall systems. We then focus on two specific types of 1D spin chains with spins located on the unit circle, a uniform and an alternating arrangement. For an equidistant distribution of identical spins we establish an explicit connection to the SU(N) Haldane Shastry model, thereby proving that the model is critical and described by a SU(N)(1) WZW model. In contrast, while turning out to be critical as well, the alternating model can only be treated numerically. Our numerical results rely on a reformulation of the original problem in terms of loop models. (C) 2014 The Authors. Published by Elsevier B.V.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Bondesan, Roberto UNSPECIFIED UNSPECIFIED UNSPECIFIED Quella, Thomas UNSPECIFIED orcid.org/0000-0002-5441-4124 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-430306
DOI:	10.1016/j.nuclphysb.2014.07.002
Journal or Publication Title:	Nucl. Phys. B
Volume:	886
Page Range:	S. 483 - 524
Date:	2014
Publisher:	ELSEVIER SCIENCE BV
Place of Publication:	AMSTERDAM
ISSN:	1873-1562
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language YANGIAN SYMMETRY; HEISENBERG CHAIN; QUANTUM; REPRESENTATIONS Multiple languages Physics, Particles & Fields Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/43030