Impurity quantum phase transitions
By M. Vojta. 2004
141 citations recorded by the source corpus.
Recent work is reviewed on continuous quantum phase transitions in impurity models, both with fermionic and bosonic baths – these transitions are interesting realizations of boundary critical phenomena at zero temperature. The models with fermion bath are generalizations of the standard Kondo model, with the common feature that Kondo screening of the localized spin can be suppressed due to competing processes. The models with boson bath are related to the spin–boson model of dissipative two-level systems, where the interplay between tunneling and friction results in multiple phases. The competition inherent to all models can generate unstable fixed points associated with quantum phase transitions, where the impurity properties undergo qualitative changes. Interestingly, certain impurity transitions feature both lower-critical and upper-critical “dimensions” and allow for epsilon-type expansions. Results are presented for a number of observables, obtained by both analytical and numerical renormalization group techniques, and connections made to experiments.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics, Physical and Theoretical Chemistry
View Paper: https://www.semanticscholar.org/paper/0218981db111466cde90b2ba8e8e667d9415b78c
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In Atomic and Molecular Physics, and Optics
In Condensed Matter Physics
In Physical and Theoretical Chemistry
Citations in the corpus
- Numerical renormalization group method for quantum impurity systems (2007, methodology): “This quantum phase transition and the physical properties in the whole parameter regime have been studied in detail with a variety of techniques (for an overview, see Bulla and Vojta (2003); Vojta (2006) and the introductory parts in Lee et al. (2005)).”
- Fermi-liquid instabilities at magnetic quantum phase transitions (2006, background): “I.1 – for a review see Vojta (2006a).”
- Advances and challenges in single-molecule electron transport (2019, methodology): “For a detailed account of the general situation, we direct the reader to the original research articles and reviews (Bulla et al., 2008; Florens et al., 2011; Varma et al., 2002; Vojta, 2006).”