Zobrazeno 1 - 10
of 132
pro vyhledávání: '"Imbrie, John"'
Publikováno v:
Phys. Rev. B 102, 125134 (2020)
We examine the many-body localization (MBL) phase transition in one-dimensional quantum systems with quenched randomness and short-range interactions. Following recent works, we use a strong-randomness renormalization group (RG) approach where the ph
Externí odkaz:
http://arxiv.org/abs/2006.04825
Autor:
Imbrie, John Z.
Publikováno v:
Rev. Math. Phys. 33, 2150024 (2021)
We prove localization and probabilistic bounds on the minimum level spacing for the Anderson tight-binding model on the lattice in any dimension, with single-site potential having a discrete distribution taking N values, with N large.
Comment: 4
Comment: 4
Externí odkaz:
http://arxiv.org/abs/1705.01916
Autor:
De Roeck, Wojciech, Imbrie, John Z.
Publikováno v:
Phil. Trans. R. Soc. A 375, 20160422 (2017)
Rare regions with weak disorder (Griffiths regions) have the potential to spoil localization. We describe a non-perturbative construction of local integrals of motion (LIOMs) for a weakly interacting spin chain in one dimension, under a physically re
Externí odkaz:
http://arxiv.org/abs/1705.00756
Autor:
Imbrie, John Z
Publikováno v:
Phys. Rev. Lett. 117, 027201 (2016)
We consider a weakly interacting quantum spin chain with random local interactions. We prove that many-body localization follows from a physically reasonable assumption that limits the extent of level attraction in the statistics of eigenvalues. In a
Externí odkaz:
http://arxiv.org/abs/1605.03003
Autor:
Imbrie, John Z., Mavi, Rajinder
Publikováno v:
Jour. Stat. Phys. 162:1451-1484 (2016)
We prove localization and probabilistic bounds on the minimum level spacing for a random block Anderson model without monotonicity. Using a sequence of narrowing energy windows and associated Schur complements, we obtain detailed probabilistic inform
Externí odkaz:
http://arxiv.org/abs/1506.06692
Autor:
Imbrie, John Z.
Publikováno v:
Commun. Math. Phys. 341, 491-521 (2016)
A new KAM-style proof of Anderson localization is obtained. A sequence of local rotations is defined, such that off-diagonal matrix elements of the Hamiltonian are driven rapidly to zero. This leads to the first proof via multi-scale analysis of expo
Externí odkaz:
http://arxiv.org/abs/1406.2957
Autor:
Imbrie, John Z.
Publikováno v:
Jour. Stat. Phys. 163:998-1048 (2016)
For a one-dimensional spin chain with random local interactions, we prove that many-body localization follows from a physically reasonable assumption that limits the amount of level attraction in the system. The construction uses a sequence of local
Externí odkaz:
http://arxiv.org/abs/1403.7837
Publikováno v:
Earth and Planetary Science Letters 307, 94-102 (2011)
We present a phase-space model that simulates Pleistocene ice volume changes based on Earth's orbital parameters. Terminations in the model are triggered by a combination of ice volume and orbital forcing and agree well with age estimates for Late Pl
Externí odkaz:
http://arxiv.org/abs/1104.3610
Publikováno v:
Probability Surveys 2009, Vol. 6, 34-61
We give a survey and unified treatment of functional integral representations for both simple random walk and some self-avoiding walk models, including models with strict self-avoidance, with weak self-avoidance, and a model of walks and loops. Our r
Externí odkaz:
http://arxiv.org/abs/0906.0922
Autor:
Imbrie, John Z.
Publikováno v:
J. Phys. A: Math. Gen. 37, L137--L142 (2004)
Dimensional reduction occurs when the critical behavior of one system can be related to that of another system in a lower dimension. We show that this occurs for directed branched polymers (DBP) by giving an exact relationship between DBP models in D
Externí odkaz:
http://arxiv.org/abs/math-ph/0402074