Thouless energy and multifractality across the many-body localization transition
نویسندگان
چکیده
منابع مشابه
Many-body localization phase transition
We use exact diagonalization to explore the many-body localization transition in a random-field spin-1/2 chain. We examine the correlations within each many-body eigenstate, looking at all high-energy states and thus effectively working at infinite temperature. For weak random field the eigenstates are thermal, as expected in this nonlocalized, “ergodic” phase. For strong random field the eigen...
متن کاملLocalization and the Kosterlitz-Thouless transition in disordered graphene.
We investigate disordered graphene with strong long-range impurities. Contrary to the common belief that delocalization should persist in such a system against any disorder, as the system is expected to be equivalent to a disordered two-dimensional Dirac fermionic system, we find that states near the Dirac points are localized for sufficiently strong disorder (therefore inevitable intervalley s...
متن کاملMultifractality as Defining Feature of Many-Body Localisation
Quantum physics often surprises with phenomena that challenge classical intuition. For example, a system of many interacting classical particles, evolving under its own internal dynamics, is known to eventually reach a thermal equilibrium. In the realm of quantum mechanics this is not necessarily true: a single particle, subject to energetic disorder, will refuse to evolve in time and to explor...
متن کاملThe Kosterlitz-Thouless Transition
Matter in the universe is organised in a hierarchical structure. At the bottom we have elementary particles: quarks, gluons, electrons etc. At present we don’t know what these particles are made off. But we believe we know that quarks, gluons etc. make up protons, neutrons, etc. These then go together to make atoms, that are the building blocks of molecules. Atoms and molecules gives us gas, li...
متن کاملMany-body Localization of Cold
In the seminal 1958 paper, Anderson cites the problem of spin diffusion as a motivation to study the quantum effect of localization [1]. The conclusion about the stability of a localized phase was actually reached there for a single quasiparticle hopping between sites with random, broadly distributed energies. The single-particle localization theory, applicable to various systems comprised of n...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review B
سال: 2017
ISSN: 2469-9950,2469-9969
DOI: 10.1103/physrevb.96.104201