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Non-perturbative methods for strongly correlated electronic systems


This project targets the physical properties of strongly correlated systems in condensed matter theory. Several problems will be studied, with various non-perturbative approaches. We are particularly interested in systems with reduced dimensions or reduced dimensionalities, such as nanostructures and the quantum Hall effect, magnetic or superconducting oxides, and disordered systems. An important chapter in the proposal is the development or the generalization of theoretical methods. Renormalization-group, bosonization and density-funcional approaches will be exploited. In short, our proposal is focused on a class of problems made attractive by their rich physics and made difficult by the many-body interactions underneath their surface. In the realm of such interactions, even qualitatively correct solutions demand special techniques. For this reason, our goals combine novel approaches with concrete results. (AU)

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Scientific publications (19)
(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)
TANASKOVIC, D.; MIRANDA, E.; DOBROSAVLJEVIC, V.. Effective model of the electronic Griffiths phase. Physical Review B, v. 70, n. 20, p. 205108-1-205108-8, . (01/00719-8)
PEREIRA‚ RG; MIRANDA‚ E.. Magnetically controlled impurities in quantum wires with strong Rashba coupling. Physical Review B, v. 71, n. 8, p. 085318, . (01/00719-8)
DOBROSAVLJEVI{\’C}‚ V.; MIRANDA‚ E.. Absence of conventional quantum phase transitions in itinerant systems with disorder. Physical Review Letters, v. 94, n. 18, p. 187203, . (01/00719-8)
TANASKOVI{\’C}‚ D.; DOBROSAVLJEVI{\’C}‚ V.; MIRANDA‚ E.. Spin-liquid behavior in electronic griffiths phases. Physical Review Letters, v. 95, n. 16, p. 167204, . (01/00719-8)
HOYOS‚ J.A.; MIRANDA‚ E.. Random antiferromagnetic SU (N) spin chains. Physical Review B, v. 70, n. 18, p. 180401, . (01/00719-8)
XAVIER‚ JC. Spin and charge gaps of the half-filled N-leg Kondo ladders. Physical Review B, v. 68, n. 13, p. 134422, . (01/00719-8)
XAVIER‚ J.C.; MIRANDA‚ E.; DAGOTTO‚ E.. Phase diagram of the two-leg Kondo ladder. Physical Review B, v. 70, n. 17, p. 172415, . (01/00719-8)
XAVIER‚ J.C.; NOVAIS‚ E.; MIRANDA‚ E.. Small Fermi surface in the one-dimensional Kondo lattice model. Physical Review B, v. 65, n. 21, p. 214406, . (01/00719-8)
COSTA‚ MLM; XAVIER‚ JC; PLASCAK‚ JA. Phase diagram and critical behavior of the spin-1 Baxter-Wu model with a crystal field. Physical Review B, v. 69, n. 10, p. 104103, . (01/00719-8)
AGUIAR‚ MCO; MIRANDA‚ E.; DOBROSAVLJEVI{\’C}‚ V.. Localization effects and inelastic scattering in disordered heavy electrons. Physical Review B, v. 68, n. 12, p. 125104, . (01/00719-8)
AGUIAR, M. C. O.; MIRANDA, E.; DOBROSAVLJEVIC, V.; ABRAHAMS, E.; KOTLIAR, G.. Temperature-dependent transport of correlated disordered electrons: Elastic vs. inelastic scattering. EPL, v. 67, n. 2, p. 226-232, . (01/00719-8)
PEREIRA‚ RG; MIRANDA‚ E.. Domain-wall scattering in an interacting one-dimensional electron gas. Physical Review B, v. 69, n. 14, p. 140402, . (01/00719-8)
SILVA-VALENCIA‚ J.; XAVIER‚ JC; MIRANDA‚ E.. Quantum anisotropic Heisenberg chains with superlattice structure: A DMRG study. Physical Review B, v. 71, n. 2, p. 024405, . (01/00719-8)
XAVIER‚ JC; MIRANDA‚ E.. Correlation exponent K-rho of the one-dimensional Kondo lattice model. Physical Review B, v. 70, n. 7, p. 075110, . (01/00719-8)
HOYOS‚ JA; MIRANDA‚ E.. Phase diagrams and universality classes of random antiferromagnetic spin ladders. Physical Review B, v. 69, n. 21, p. 214411, . (01/00719-8)
HOYOS, J. A.; MIRANDA, E.. Random antiferromagnetic SU(N) spin chains. Physical Review B, v. 70, n. 18, p. 180401-1-180401-4, . (01/00719-8)
GHOSH, A.; MIRANDA, E.. Nonuniform phases in metals with local moments. Physical Review B, v. 70, p. 214420-214425, . (01/00719-8)
MIRANDA, E.; XAVIER, J. C.. An RKKY-induced dimerized phase of the Kondo lattice model. PHYSICA C-SUPERCONDUCTIVITY AND ITS APPLICATIONS, v. 408-410, p. 179-180, . (01/00719-8)
XAVIER, J. C.; PEREIRA, R. G.; MIRANDA, E.; AFFECK, I.. Dimerization induced by the RKKY interaction. Physical Review Letters, v. 90, n. 24, p. 7204-1-7204-4, . (01/00719-8)

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