Universität zu Köln

Schmoll, Philipp, Haller, Andreas, Rizzi, Matteo ORCID: 0000-0002-8283-1005 and Orus, Roman ORCID: 0000-0002-4496-8115 (2019). Quantum criticality on a chiral ladder: An SU(2) infinite density matrix renormalization group study. Phys. Rev. B, 99 (20). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2469-9969

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Abstract

In this paper we study the ground-state properties of a ladder Hamiltonian with chiral SU(2)-invariant spin interactions, a possible first step toward the construction of truly two-dimensional nontrivial systems with chiral properties starting from quasi-one-dimensional ones. Our analysis uses a recent implementation by us of SU(2) symmetry in tensor network algorithms, specifically for infinite density matrix renormalization group. After a preliminary analysis with Kadanoff coarse graining and exact diagonalization for a small-size system, we discuss its bosonization and recap the continuum limit of the model to show that it corresponds to a conformal field theory, in agreement with our numerical findings. In particular, the scaling of the entanglement entropy as well as finite-entanglement scaling data show that the ground-state properties match those of the universality class of a c = 1 conformal field theory (CFT) in (1 + 1) dimensions. We also study the algebraic decay of spin-spin and dimer-dimer correlation functions, as well as the algebraic convergence of the ground-state energy with the bond dimension, and the entanglement spectrum of half an infinite chain. Our results for the entanglement spectrum are remarkably similar to those of the spin-1/2 Heisenberg chain, which we take as a strong indication that both systems are described by the same CFT at low energies, i.e., an SU(2)(1) Wess-Zumino-Witten theory. Moreover, we explain in detail how to construct matrix product operators for SU(2)-invariant three-spin interactions, something that had not been addressed with sufficient depth in the literature.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Schmoll, Philipp UNSPECIFIED UNSPECIFIED UNSPECIFIED Haller, Andreas UNSPECIFIED UNSPECIFIED UNSPECIFIED Rizzi, Matteo UNSPECIFIED orcid.org/0000-0002-8283-1005 UNSPECIFIED Orus, Roman UNSPECIFIED orcid.org/0000-0002-4496-8115 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-148284
DOI:	10.1103/PhysRevB.99.205121
Journal or Publication Title:	Phys. Rev. B
Volume:	99
Number:	20
Date:	2019
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	2469-9969
Language:	English
Faculty:	Faculty of Mathematics and Natural Sciences
Divisions:	Faculty of Mathematics and Natural Sciences > Department of Physics > Institute for Theoretical Physics
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language EDGE STATES Multiple languages Materials Science, Multidisciplinary; Physics, Applied; Physics, Condensed Matter Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/14828