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Quantum Monte Carlo simulations of S=1 disordered Heisenberg spin chains

Grant number: 12/02287-2
Support type:Scholarships abroad - Research Internship - Doctorate
Effective date (Start): June 01, 2012
Effective date (End): May 31, 2013
Field of knowledge:Physical Sciences and Mathematics - Physics - Condensed Matter Physics
Principal Investigator:Andre de Pinho Vieira
Grantee:Helder Luciani Casa Grande
Supervisor abroad: Nicolas Laflorencie
Home Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil
Local de pesquisa : Université Paul Sabatier - Toulouse III, France  
Associated to the scholarship:09/08171-3 - Thermodynamic properties of dimer models and aperiodic quantum spin chains, BP.DR


The project aims at performing, via Quantum Monte Carlo simulations, a thorough study of the thermodynamic properties and entanglement entropies of spin-1 Heisenberg chains at low temperatures, in the presence of disorder. The focus will be on: (i) the numerical confirmation of various scaling forms and critical exponents predicted for the chain with aperiodic but deterministic disorder by the Ma-Dasgupta-Hu real-space renormalization-group method; (ii) the study of the von Neumann and Rényi entanglement entropies for the chain with random couplings, in the various ground state phases it exhibits (Haldane phase, Griffiths phase and random-singlet phase). (AU)

Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
CASA GRANDE, H. L.; LAFLORENCIE, N.; ALET, F.; VIEIRA, A. P. Analytical and numerical studies of disordered spin-1 Heisenberg chains with aperiodic couplings. Physical Review B, v. 89, n. 13 APR 14 2014. Web of Science Citations: 6.

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