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

• Grant number: 12/02287-2
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate
• Start date: June 01, 2012
• End date: 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: Nicolas Laflorencie
• Host Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Institution abroad: 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

Abstract

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. (09/08171-3, 12/02287-2)