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A quantum finite multi-barrier system, with a periodic potential, is considered and exact expressions for its plane wave amplitudes are obtained using the Transfer Matrix method [10]. This quantum model is then associated with a stochastic…

Statistical Mechanics · Physics 2019-06-26 Emilio N. M. Cirillo , Matteo Colangeli , Lamberto Rondoni

We present a new theoretical approach for the integer quantum Hall effect, which is able to describe the inter-plateau transitions as well as the transition to the Hall insulator. We find two regimes (metallic and insulator like) of the top…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 J. Oswald , G. Span , F. Kuchar

We show that multichannel quantum systems with uncorrelated but asymmetric Anderson-type disorder can exhibit anomalous diffusion, even in the absence of heavy-tailed disorder. Using a minimal two-channel model with channel asymmetry, we…

Mesoscale and Nanoscale Physics · Physics 2025-10-02 Hazan Ozkan , Stephan Roche , Haldun Sevincli

Topological phases typically encode topology at the level of the single particle band structure. But a remarkable class of models shows that quantum anomalous Hall effects can be driven exclusively by interactions, while the parent…

Strongly Correlated Electrons · Physics 2018-01-11 Mengsu Chen , Hoi-Yin Hui , Sumanta Tewari , V. W. Scarola

We consider a one-dimensional fermionic lattice system with long-ranged power-law decaying hopping with exponent $\alpha$. The system is further subjected to dephasing noise in the bulk. We investigate two variants of the problem: (i) an…

Statistical Mechanics · Physics 2024-06-04 Abhinav Dhawan , Katha Ganguly , Manas Kulkarni , Bijay Kumar Agarwalla

The quantum anomalous Hall effect can occur in single and few layer graphene systems that have both exchange fields and spin-orbit coupling. In this paper, we present a study of the quantum anomalous Hall effect in single-layer and gated…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Wang-Kong Tse , Zhenhua Qiao , Yugui Yao , A. H. MacDonald , Qian Niu

Quantitative description of charge transport across tunneling and break-junction devices with novel superconductors encounters some problems not present, or not as severe for traditional superconducting materials. In this work, we explain…

Superconductivity · Physics 2016-08-11 E. Zhitlukhina , I. Devyatov , O. Egorov , M. Belogolovskii , P. Seidel

We study the star lattice with Rashba spin-orbit coupling and exchange field and find that there exists the quantum anomalous Hall effect in this system and there are five energy gaps at Dirac points and quadratic band crossing points. We…

Strongly Correlated Electrons · Physics 2012-07-24 Mengsu Chen , Shaolong Wan

We predict by first-principles calculations that thin films of Cr-doped (Bi,Sb)$_2$Te$_3$ magnetic topological insulator have gapless non-chiral edge states coexisting with the chiral edge state. Such gapless non-chiral states are not…

Mesoscale and Nanoscale Physics · Physics 2013-08-22 Jing Wang , Biao Lian , Haijun Zhang , Shou-Cheng Zhang

We theoretically investigate a photonic Kagome lattice which can be realized in microwave cavity arrays using current technology. The Kagome lattice exhibits an exotic band structure with three bands one of which can be made completely…

Quantum Gases · Physics 2012-12-06 Alexandru Petrescu , Andrew A. Houck , Karyn Le Hur

Recent experiments in twisted bilayer MoTe$_2$ (tMoTe$_2$) have uncovered a rich landscape of correlated phases. In this work, we investigate the reentrant integer quantum anomalous Hall (RIQAH) states reported by F. Xu, arXiv.2504.06972…

Strongly Correlated Electrons · Physics 2025-12-24 Yi Huang , Seth Musser , Jihang Zhu , Yang-Zhi Chou , Sankar Das Sarma

We propose a phenomenological model that describes counterflow and drag experiments with quantum Hall bilayers in a \nu_T=1 state. We consider the system consisting of statistically distributed areas with local total filling factors…

Strongly Correlated Electrons · Physics 2015-05-18 D. V. Fil , S. I. Shevchenko

The chiral topological superconductor, which supports propagating nontrivial edge modes while maintaining a gapped bulk, can be realized hybridizing a quantum-anomalous-Hall thin slab with an ordinary $s$-wave superconductor. We show that…

Mesoscale and Nanoscale Physics · Physics 2023-11-17 Daniele Di Miceli , Llorenç Serra

We evaluate the transport gaps in the most prominent fractional quantum Hall states in the $\mathbf{n}{=}0$ and $\mathbf{n}{=}1$ Landau Levels of graphene, accounting for the Coulomb interaction, lattice-scale anisotropies, and one-body…

Mesoscale and Nanoscale Physics · Physics 2025-09-25 Jincheng An , Ajit C. Balram , Udit Khanna , Ganpathy Murthy

We demonstrate numerically that a robust and unusual multifractal regime can emerge in a one-dimensional quantum chain with maximally correlated disorder, above a threshold disorder strength. This regime is preceded by a mixed and an…

Disordered Systems and Neural Networks · Physics 2022-07-27 Alexander Duthie , Sthitadhi Roy , David E. Logan

We review recent results on the anomalous transport in one-dimensional and quasi-one-dimensional systems with bulk and surface disorder. Main attention is paid to the role of long-range correlations in random potentials for the bulk…

Disordered Systems and Neural Networks · Physics 2009-11-11 F. M. Izrailev , N. M. Makarov

Here we show that a coherent random walk in a perfectly periodic chain of bosonic modes with designed loss can exhibit a variety of different anomalous transfer regimes in dependence on the initial state of the chain. In particular, for any…

Optics · Physics 2023-02-21 I. Peshko , G. Ya. Slepyan , D. Mogilevtsev

It is pointed out recently that the $\nu=1/m$ quantum Hall states in bilayer systems behave like easy plane quantum ferromagnets. We study the magnetotransport of these systems using their ``ferromagnetic" properties and a novel spin-charge…

Condensed Matter · Physics 2009-10-22 Tin-Lun Ho

In mean-field-theory bilayer graphene's massive Dirac fermion model has a family of broken inversion symmetry ground states with charge gaps and flavor dependent spontaneous inter layer charge transfers. We use a lattice Hartree-Fock model…

Mesoscale and Nanoscale Physics · Physics 2011-04-22 Jeil Jung , Fan Zhang , Allan H. MacDonald

The parity anomalous semimetal is a topological state of matter characterized by its semi-metallic nature and a quantum Hall conductance of one-half $e^{2}/h$ ($e$ is the elementary charge and $h$ is the Planck constant). Here we…

Mesoscale and Nanoscale Physics · Physics 2025-11-19 Shi-Hao Bi , Bo Fu , Shun-Qing Shen
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