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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Analytical and numerical studies of disordered spin-1 Heisenberg chains with aperiodic couplings

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Author(s):
Casa Grande, H. L. [1, 2] ; Laflorencie, N. [2] ; Alet, F. [2] ; Vieira, A. P. [1]
Total Authors: 4
Affiliation:
[1] Univ Sao Paulo, Inst Fis, BR-05314970 Sao Paulo - Brazil
[2] Univ Toulouse, CNRS, IRSAMC, Phys Theor Lab, F-31062 Toulouse - France
Total Affiliations: 2
Document type: Journal article
Source: Physical Review B; v. 89, n. 13 APR 14 2014.
Web of Science Citations: 6
Abstract

We investigate the low-temperature properties of the one-dimensional spin-1 Heisenberg model with geometric fluctuations induced by aperiodic but deterministic coupling distributions, involving two parameters. We focus on two aperiodic sequences, the Fibonacci sequence and the 6-3 sequence. Our goal is to understand how these geometric fluctuations modify the physics of the (gapped) Haldane phase, which corresponds to the ground state of the uniform spin-1 chain. We make use of different adaptations of the strong-disorder renormalization-group (SDRG) scheme of Ma, Dasgupta, and Hu, widely employed in the study of random spin chains, supplemented by quantum Monte Carlo and density-matrix renormalization-group numerical calculations, to study the nature of the ground state as the coupling modulation is increased. We find no phase transition for the Fibonacci chain, while we show that the 6-3 chain exhibits a phase transition to a gapless, aperiodicity-dominated phase similar to the one found for the aperiodic spin-1/2 XXZ chain. Contrary to what is verified for random spin-1 chains, we show that different adaptations of the SDRG scheme may lead to different qualitative conclusions about the nature of the ground state in the presence of aperiodic coupling modulations. (AU)

FAPESP's process: 09/08171-3 - Thermodynamic properties of dimer models and aperiodic quantum spin chains
Grantee:Helder Luciani Casa Grande
Support Opportunities: Scholarships in Brazil - Doctorate
FAPESP's process: 12/02287-2 - Quantum Monte Carlo simulations of S=1 disordered Heisenberg spin chains
Grantee:Helder Luciani Casa Grande
Support Opportunities: Scholarships abroad - Research Internship - Doctorate