Interacting electrons in disordered wires: Anderson localization and low-T transport.

By I. Gornyi, A. Mirlin, D. Polyakov. Physical Review Letters, 2005

753 citations recorded by the source corpus.

We study the conductivity sigma(T) of interacting electrons in a low-dimensional disordered system at low temperature T. For weak interactions, the weak-localization regime crosses over with lowering T into a dephasing-induced "power-law hopping." As T is further decreased, the Anderson localization in Fock space crucially affects sigma(T), inducing a transition at T = T(c), so that sigma(T < T(c)) = 0. The critical behavior of sigma(T) above T(c) is ln sigma(T) proportional to -(T - T(c))(-1/2). The mechanism of transport in the critical regime is many-particle transitions between distant states in Fock space.

Subfields: Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/1b335aca4af7fbc167823136033ba6bb444f8bbd

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In Atomic and Molecular Physics, and Optics

1. V. Khemani
2. D. Abanin
3. J. Imbrie
4. Maksym Serbyn
5. R. Nandkishore
6. D. Huse
7. I. Bloch
8. V. Ros

Citations in the corpus

• Localization of preformed Cooper pairs in disordered superconductors (2010, neutral): “[5–7].”
• Quantum coherence and geometric quantum discord (2017, background): “In general, there are two different types of localization, the single-particle localization in name of Anderson localization (Anderson, 1958) and the many-body localization (Basko et al., 2006; Gornyi et al., 2005).”
• Many-body localization and delocalization in large quantum chains (2018, background): “The study of MBL did not begin in earnest until the development of landmark theories [6, 7] predicting a temperature-driven transition to a localized phase, now known as an MBL phase.”
• Heat transport in low-dimensional systems (2008, background): “The question as to whether electron-electron interactions lead to a similar effect has attracted much attention recently but is still not fully understood [146, 147, 148, 149, 150, 151, 152].”
• Integrals of motion in the many-body localized phase (2014, methodology): “In contrast, the authors of [42] assumed that the exponentially many diagrams have comparable amplitudes, but random signs, and applied the central limit theorem to the sum.”
• Colloquium : Many-body localization, thermalization, and entanglement (2018, background): “Singularities due to rare regions have been first discussed by Griffiths (1969) and McCoy (1969) in the context of conventional phase transitions of random spin systems and since then are known as Griffiths effects.”
• Localization-protected quantum order (2013, background): “[11] Gornyi, I.”
• Nonequilibrium quantum dynamics and transport: from integrability to many-body localization (2016, background): “Remarkably, in the presence of disorder, it turns out that there exists another generic scenario, many-body localization (MBL) [55, 56, 57, 58, 59, 60], for the dynamics”
• Spectral statistics across the many-body localization transition (2015, background): “On the other hand, in the many-body world the only non-thermalizing phase (in the sense of stability to small perturbations) is represented by many-body localized (MBL) systems [5, 6].”