Dissipative spin dynamics near a quantum critical point: Numerical renormalization group and Majorana diagrammatics (Articolo in rivista)

Type
Label
  • Dissipative spin dynamics near a quantum critical point: Numerical renormalization group and Majorana diagrammatics (Articolo in rivista) (literal)
Anno
  • 2011-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1103/PhysRevB.84.155110 (literal)
Alternative label
  • Florens, S.; Freyn, A.; Venturelli, D.; Narayanan, R. (2011)
    Dissipative spin dynamics near a quantum critical point: Numerical renormalization group and Majorana diagrammatics
    in Physical review. B, Condensed matter and materials physics
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Florens, S.; Freyn, A.; Venturelli, D.; Narayanan, R. (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 84 (literal)
Rivista
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  • 18 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 15 (literal)
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Centre National de la Recherche Scientifique (CNRS); Joseph Fourier University; Consiglio Nazionale delle Ricerche (CNR NANO); Scuola Normale Superiore di Pisa; International School for Advanced Studies; Indian Institute of Technology (IIT) (literal)
Titolo
  • Dissipative spin dynamics near a quantum critical point: Numerical renormalization group and Majorana diagrammatics (literal)
Abstract
  • We provide an extensive study of the subohmic spin-boson model with power-law density of states J (omega) proportional to omega(s) (with 0 < s <= 1), focusing on the equilibrium dynamics of the three possible spin components, from very weak dissipation to the quantum critical regime. Two complementary methods, the bosonic numerical renormalization group and Majorana diagrammatics, are used to explore the physical properties in a wide range of parameters. We show that the bosonic self-energy is the crucial ingredient for the description of critical fluctuations, but that many-body vertex corrections need to be incorporated as well in order to obtain quantitative agreement of the diagrammatics with the numerical simulations. Our results suggest that the out-of-equilibrium dynamics in dissipative models beyond the Bloch-Redfield regime should be reconsidered in the long-time limit. Regarding also the spin-boson Hamiltonian as a toy model of quantum criticality, some of the insights gained here may be relevant for field theories of electrons coupled to bosons in higher dimensions. (literal)
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