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Recent developments in matrix-product-state (MPS) investigations of many-body localization (MBL) are reviewed, with a discussion of benefits and limitations of the method. This approach allows one to explore the physics around the MBL…

Disordered Systems and Neural Networks · Physics 2022-04-29 Elmer V. H. Doggen , Igor V. Gornyi , Alexander D. Mirlin , Dmitry G. Polyakov

We theoretically investigate the engineering of two-dimensional second-order topological insulators with corner states by coupling two first-order topological insulators. We find that the interlayer coupling between two topological…

Mesoscale and Nanoscale Physics · Physics 2025-07-08 Lizhou Liu , Jiaqi An , Yafei Ren , Yingtao Zhang , Zhenhua Qiao , Qian Niu

We have generalized the Gutzwiller method to the cases of n=>2 correlated bands and report studies on a degenerate two-band model with Hund's rule type on-site interactions. At half band filling the metal-insulator transitions are usually…

Strongly Correlated Electrons · Physics 2008-02-03 J. Buenemann , W. Weber

We discuss the effects of disorder in time-reversal invariant topological insulators and superconductors in three spatial dimensions. For three-dimensional topological insulator in symplectic (AII) symmetry class, the phase diagram in the…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Shinsei Ryu , Kentaro Nomura

We investigate the localization behavior of electrons in a random lattice which is constructed from a quasi-one-dimensional chain with large coordinate number $Z$ and rewired bonds, resembling the small-world network proposed recently but…

Disordered Systems and Neural Networks · Physics 2009-10-31 Chen-Ping Zhu , Shi-Jie Xiong

A many-body localized (MBL) state is a new state of matter emerging in a disordered interacting system at high energy densities through a disorder driven dynamic phase transition. The nature of the phase transition and the evolution of the…

Strongly Correlated Electrons · Physics 2016-07-20 S. P. Lim , D. N. Sheng

We analyze the pressure-induced metal-insulator transition in a two-dimensional vertical stack of $H_2$ molecules in x-y plane, and show that it represents a striking example of the Mott-Hubbard-type transition. Our combined exact…

Strongly Correlated Electrons · Physics 2017-08-09 Andrzej Biborski , Andrzej P. Kądzielawa , Józef Spałek

We study the Metal-Insulator transition in one-dimensional Hubbard superlattices (SL's), modelled by a repeated pattern of repulsive (i.e., positive on-site coupling) and free sites. The evolution of the local moment and of the charge gap…

Strongly Correlated Electrons · Physics 2009-10-31 Thereza Paiva , Raimundo R. dos Santos

By means of exact diagonalizations, the Bernevig-Hughes-Zhang model at quarter-filling in the limit of strong Hubbard on-site repulsion is investigated. We find that the non-interacting metallic state will be turned into a Chern insulator…

Strongly Correlated Electrons · Physics 2025-04-09 Yu-Chin Tzeng , Po-Yao Chang , Min-Fong Yang

We numerically study both the avalanche instability and many-body resonances in strongly-disordered spin chains exhibiting many-body localization (MBL). We distinguish between a finite-size/time MBL regime, and the asymptotic MBL phase, and…

Disordered Systems and Neural Networks · Physics 2022-05-13 Alan Morningstar , Luis Colmenarez , Vedika Khemani , David J. Luitz , David A. Huse

Disorder and interactions can lead to the breakdown of statistical mechanics in certain quantum systems, a phenomenon known as many-body localization (MBL). Much of the phenomenology of MBL emerges from the existence of $\ell$-bits, a set…

Disordered Systems and Neural Networks · Physics 2021-05-19 Eli Chertkov , Benjamin Villalonga , Bryan K. Clark

For systems described by the two-site Bose-Hubbard Hamiltonian, we show that a sinusoidal modulation of the tunneling matrix element assists higher-order co-tunneling processes. Using this mechanism, we propose an efficient new scheme for…

Other Condensed Matter · Physics 2010-02-23 Gentaro Watanabe

We perform a matrix product state based density matrix renormalisation group analysis of the phases for the disordered one-dimensional Bose-Hubbard model. For particle densities N/L = 1, 1/2 and 2 we show that it is possible to obtain a…

Disordered Systems and Neural Networks · Physics 2015-08-21 Andrew M. Goldsborough , Rudolf A. Römer

We study the charge transport across a band-tuned metal-insulator transition in two dimensions. For high temperatures $T$ and chemical potentials $\mu$ far from the transition point, conduction is ballistic and the resistance $R(T)$…

Strongly Correlated Electrons · Physics 2025-10-06 Harry Tomlins , Jan M. Tomczak

We propose a two-orbital Hubbard model on an emergent honeycomb lattice to describe the low-energy physics of twisted bilayer graphene. Our model provides a theoretical basis for studying metal-insulator transition, Landau level degeneracy…

Strongly Correlated Electrons · Physics 2018-07-31 Noah F. Q. Yuan , Liang Fu

We investigate the occurrence of many-body localization (MBL) on a spin-1/2 transverse-field Ising model defined on a Chimera connectivity graph with random exchange interactions and longitudinal fields. We observe a transition from an…

We propose a fully coupled numerical model to predict turbulent boundary layer (TBL) induced energy transmission behavior for a double-wall backed enclosure system in a finite element (FE) framework computed in cloud-based Python…

Applied Physics · Physics 2022-09-20 Biplab Ranjan Adhikary , Atanu Sahu , Partha Bhattacharya

The mapping between the metal-insulator transition of the quantum Hall system and a superfluid-to-insulator transition is revisited based on a disordered anyon model. The one-parameter scaling of the superfluid-to-insulator transition is…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Xiao-Qian Wang

The interrelationship between localization, quantum transport, and disorder has remained a fascinating focus in scientific research. Traditionally, it has been widely accepted in the physics community that in one-dimensional systems, as…

Disordered Systems and Neural Networks · Physics 2025-01-13 Ze-Sheng Xu , Jun Gao , Adrian Iovan , Ivan M. Khaymovich , Val Zwiller , Ali W. Elshaari

We provide a critical perspective on the collection of low-temperature transport phenomena in low-density two-dimensional semiconductor systems often referred to as the 2D metal-insulator transition. We discuss the physical mechanisms…

Disordered Systems and Neural Networks · Physics 2015-06-24 S. Das Sarma , E. H. Hwang
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