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Non-perturbative methods applied to strongly correlated electronic systems


This project focuses on condensed matter systems whose electronic properties are dominated by correlation effects. The problems to be studied can be divided in three classes: a) correlated systems with low dimensionality; b) magnetic or superconducting systems; c) disordered systems. The envisaged approach, which encompasses a variety of techniques going from the traditional to the innovative, crosses the walls defining this division and directs its attention to the central goal motivating the formulation of this proposal: the identification of routes establishing the connection between electronic correlations and the physical properties of condensed matter systems. From this perspective, this proposal can be viewed as an updated version of the original program which defined solid state physics in the first half of the twentieth century, namely, the search for the identification of the consequences of Bloch's theorem on the physical properties of crystals. From its development, we expect more than semi or quantitatively precise results. We seek a new, integrated vision of the effects of electronic correlations. The team responsible for this project envolves six researchers, from the Instituto de Física Gleb Wataghin (Unicamp) and the Instituto de Física de São Carlos (USP). (AU)

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Scientific publications (11)
(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)
MARD, H. JAVAN; HOYOS, JOSE A.; MIRANDA, E.; DOBROSAVLJEVIC, V.. Strong-disorder renormalization-group study of the one-dimensional tight-binding model. Physical Review B, v. 90, n. 12, . (07/57630-5, 13/09850-7)
MARD, H. JAVAN; ANDRADE, E. C.; MIRANDA, E.; DOBROSAVLJEVIC, V.. Non-Gaussian Spatial Correlations Dramatically Weaken Localization. Physical Review Letters, v. 114, n. 5, . (07/57630-5)
TANG, SHAO; MIRANDA, E.; DOBROSAVLJEVIC, V.. Mottness-induced healing in strongly correlated superconductors. Physical Review B, v. 91, n. 2, . (07/57630-5)
ANDRADE, E. C.; MIRANDA, E.; DOBROSAVLJEVIC, V.. Energy-resolved spatial inhomogeneity of disordered Mott systems. PHYSICA B-CONDENSED MATTER, v. 404, n. 19, p. 3167-3171, . (07/57630-5)
ZHOU, S.; HOYOS, J. A.; DOBROSAVLJEVIC, V.; MIRANDA, E.. Valence-bond theory of highly disordered quantum antiferromagnets. EPL, v. 87, n. 2, . (07/57630-5)
WARNES, J. H.; MIRANDA, E.. Symmetry breaking and physical properties of the bosonic single-impurity Anderson model. European Physical Journal B, v. 85, n. 10, . (07/57630-5)
WARNES, JESUS HERAZO; MIRANDA, EDUARDO. Ground-state properties of the disordered spin-1 Bose-Hubbard model: A stochastic mean-field theory study. Physical Review B, v. 85, n. 21, . (07/57630-5)
DORETTO, R. L.; SMITH, C. MORAIS; CALDEIRA, A. O.. Finite-momentum condensate of magnetic excitons in a bilayer quantum Hall system. Physical Review B, v. 86, n. 3, . (10/00479-6, 07/57630-5)
ANDRADE, ERIC C.; MIRANDA, EDUARDO; DOBROSAVLJEVIC, VLADIMIR. Mechanism for Enhanced Disordered Screening in Strongly Correlated Metals: Local vs. Nonlocal Effects. Journal of Superconductivity and Novel Magnetism, v. 25, n. 5, p. 1399-1402, . (07/57630-5)
ANDRADE, E. C.; MIRANDA, E.; DOBROSAVLJEVIC, V.. Quantum Ripples in Strongly Correlated Metals. Physical Review Letters, v. 104, n. 23, p. 236401, . (07/57630-5)
QUITO, V. L.; HOYOS, JOSE A.; MIRANDA, E.. Random SU(2)-symmetric spin-S chains. Physical Review B, v. 94, n. 6, . (09/17531-3, 07/57630-5, 15/23849-7)

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