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We consider a tight-binding model with the nearest neighbour hopping integrals on the honeycomb lattice in a magnetic field. Assuming one of the three hopping integrals, which we denote t_a, can take a different value from the two others,…

Mesoscale and Nanoscale Physics · Physics 2009-04-03 Masatoshi Sato , Daijiro Tobe , Mahito Kohmoto

In an earlier work, Damle and the author (Phys. Rev. B in press; cond-mat/9705206) demonstrated the central role played by incoherent, inelastic processes in transport near two-dimensional quantum critical points. This paper extends these…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 Subir Sachdev

I review some aspects of an alternative model of the quantum Hall effect, which is not based on the presence of disorder potentials. Instead, a quantization of the electronic drift current in the presence of crossed electric and magnetic…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Tobias Kramer

We report a simple route to generate magnetotransport data that results in fractional quantum Hall plateaus in the conductance. Ingredients to the generating model are conducting tiles with integer quantum Hall effect and metallic linkers,…

Mesoscale and Nanoscale Physics · Physics 2018-05-04 Ferdinand Kisslinger , Dennis Rienmüller , Christian Ott , Erik Kampert , Heiko B. Weber

The dynamics responsible for lifting the degeneracy of the Landau levels in the quantum Hall (QH) effect in graphene is studied by utilizing a low-energy effective model with a contact interaction. A detailed analysis of the solutions of…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 E. V. Gorbar , V. P. Gusynin , V. A. Miransky , I. A. Shovkovy

The Hall conductance of a two-dimensional electron gas has been studied in a uniform magnetic field. The Hall conductivity is expressed as a sum of two contributions: one corresponding to the classical Drude-Zener formula, and a second…

Mesoscale and Nanoscale Physics · Physics 2009-03-24 Toshifumi Itakura

We study finite temperature ($T$) properties of the continuum quantum field theory of systems with a ferromagnetic ground state. A scaling theory of the $T=0$ system is discussed carefully, and its consequences for crossovers between…

Condensed Matter · Physics 2009-10-28 N. Read , Subir Sachdev

The Quantum Hall Effect for free electrons in external periodic field is discussed without using the linear response approximation. We find that the Hall conductivity is related in a simple way to Floquet energies (associated to the…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Ruggero Ferrari

A long skinny gate across a fractional quantum Hall fluid at filling $\nu=1/m$ with odd integer $m$, creates a novel one-dimensional (1d) system which is isomorphic to a disordered 1d electron gas with {\it attractive} interactions. By…

Condensed Matter · Physics 2009-10-28 C. L. Kane , Matthew P. A. Fisher

We analyze the dissipative conductance of the zero-plateau quantum Hall state appearing in undoped graphene in strong magnetic fields. Charge transport in this state is assumed to be carried by a magnetic domain wall, which forms by…

Mesoscale and Nanoscale Physics · Physics 2009-06-02 Efrat Shimshoni , H. A. Fertig , G. Venketeswara Pai

We consider a bi-layer electronic system at a total Landau level filling factor nu =1, and focus on the transition from the regime of weak inter-layer coupling to that of the strongly coupled (1,1,1) phase (or ''quantum Hall ferromagnet'').…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Ady Stern , B. I. Halperin

We investigate the effects of a transverse magnetic field on the transport properties of carbon nanotubes, making use of a long-wavelength description in terms of Dirac fermion fields. For values of the magnetic length smaller than the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. Perfetto , J. Gonzalez , F. Guinea , S. Bellucci , P. Onorato

We discuss the relationship between the quantum Hall conductance and a fractal energy band structure, Hofstadter's butterfly, on a square lattice under a magnetic field. At first, we calculate the Hall conductance of Hofstadter's butterfly…

Strongly Correlated Electrons · Physics 2016-05-05 Nobuyuki Yoshioka , Hiroyasu Matsuura , Masao Ogata

Finding and understanding non-Fermi liquid transport behaviors are at the core of condensed matter physics. Most of the existing studies were devoted to the monolayer Hubbard model, which is the simplest model that captures essential…

Strongly Correlated Electrons · Physics 2024-02-27 Yin Shi , Jonathan Schirmer , Long-Qing Chen

The fractional quantum Hall (FQH) effect arises from strong electron correlations in a quantising magnetic field, and features exotic emergent phenomena such as electron fractionalisation. Using the diagrammatic Monte Carlo approach with…

Strongly Correlated Electrons · Physics 2026-03-16 Ben Currie , Evgeny Kozik

We report magnetotransport properties of a two-dimensional electron gas confined at MgZnO/ZnO heterointerface in a high magnetic field up to 26 T. High electron mobility and low charge carrier density enabled the observation of the…

Mesoscale and Nanoscale Physics · Physics 2012-11-14 Y. Kozuka , A. Tsukazaki , D. Maryenko , J. Falson , S. Akasaka , K. Nakahara , S. Nakamura , S. Awaji , K. Ueno , M. Kawasaki

Fully taking into account of the honeycomb lattice structure, fractional quantum Hall states of graphene are considered by a pseudopotential projected into the n = 0 Landau band. By using a chirality as an internal degree of freedom, the…

Strongly Correlated Electrons · Physics 2018-05-16 Koji Kudo , Yasuhiro Hatsugai

We estimate here the electrical and Hall conductivity using a quasiparticle approach for quark matter. We use a Boltzmann kinetic approach in presence of external magnetic field. We confront the results of model calculations with Lattice…

High Energy Physics - Phenomenology · Physics 2020-03-04 Arpan Das , Hiranmaya Mishra , Ranjita K. Mohapatra

Experimental data for fractional quantum Hall systems can to a large extent be explained by assuming the existence of a modular symmetry group commuting with the renormalization group flow and hence mapping different phases of…

High Energy Physics - Theory · Physics 2017-03-02 Matthew Lippert , Rene Meyer , Anastasios Taliotis

By designing a multi-channel millimeter Hall measurement configuration, we realize the carrier-density (locally) controllable measurement on the transport property in 2H MoS$_{2}$. We observe a linearly increased Hall conductivity and…

Mesoscale and Nanoscale Physics · Physics 2024-02-21 Chen-Huan Wu , Yida Li