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Quantum transport in disordered magnetic fields is investigated numerically in two-dimensional systems. In particular, the case where the mean and the fluctuation of disordered magnetic fields are of the same order is considered. It is…

Disordered Systems and Neural Networks · Physics 2009-11-10 Tohru Kawarabayashi , Tomi Ohtsuki

High magnetic fields have proven instrumental in exploring the physical properties of condensed matter, leading to groundbreaking discoveries such as the quantum Hall effect in 2D heterostructures and quantum oscillations in cuprate…

We have investigated in frame of the quantum transport theory the magnetic quantum oscillations of the longitudinal magnetoresistance $\rho_{zz}$ in quasi two-dimensional metals for a magnetic field perpendicular to the layers. Giant…

Condensed Matter · Physics 2016-08-31 T. Champel , V. P. Mineev

We report the first electronic compressibility measurements of magic-angle twisted bilayer graphene. The evolution of the compressibility with carrier density offers insights into the interaction-driven ground state that have not been…

Mesoscale and Nanoscale Physics · Physics 2019-07-31 S. L. Tomarken , Y. Cao , A. Demir , K. Watanabe , T. Taniguchi , P. Jarillo-Herrero , R. C. Ashoori

We investigate electronic transport in high mobility (\textgreater 100,000 cm$^2$/V$\cdot$s) trilayer graphene devices on hexagonal boron nitride, which enables the observation of Shubnikov-de Haas oscillations and an unconventional quantum…

Mesoscale and Nanoscale Physics · Physics 2011-08-02 Thiti Taychatanapat , Kenji Watanabe , Takashi Taniguchi , Pablo Jarillo-Herrero

A tight-binding model with randomly fluctuating atomic positions is studied to discuss the effect of strong disorder in graphene. We employ a strong-disorder expansion for the transport quantities and find a diffusive behavior, where the…

Mesoscale and Nanoscale Physics · Physics 2008-04-22 K. Ziegler

In this work we investigated correlations between the internal microstructure and sample size (lateral as well as thickness) of mesoscopic, tens of nanometer thick graphite (multigraphene) samples and the temperature $(T)$ and field $(B)$…

Materials Science · Physics 2015-05-13 J. Barzola-Quiquia , J. -L. Yao , P. Rödiger , K. Schindler , P. Esquinazi

The conductance through a quantum point contact created by a sharp and hard metal tip on the graphite surface has features which to our knowledge have not been encountered so far in metal contacts or in nanowires. In this paper we first…

Materials Science · Physics 2009-10-31 C. Kilic , H. Mehrez , S. Ciraci

We study a relativistic quantum cavity system realized by etching out from a graphene sheet by quantum transport measurements and theoretical calculations. The conductance of the graphene cavity has been measured as a function of the back…

Mesoscale and Nanoscale Physics · Physics 2020-02-12 G. Q. Zhang , Xianzhang Chen , Li Lin , Hailin Peng , Zhongfan Liu , Liang Huang , N. Kang , H. Q. Xu

Three-dimensional particle-in-cell simulations are employed to investigate electron transport characteristics in Hall thrusters, with particular focus on how magnetic field configuration affects the electron transport due to electron drift…

Plasma Physics · Physics 2025-12-09 Yinjian Zhao , Kunpeng Zhong

We report high-quality two-dimensional (2D) electron and hole gases induced at the surface of graphite by the electric field effect. The 2D carriers reside within a few near-surface atomic layers and exhibit mobilities up to 15,000 and…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 S. V. Morozov , K. S. Novoselov , D. Jiang , A. A. Firsov , S. V. Dubonos , A. K. Geim

The quantum Hall effect is investigated in a high-mobility two-dimensional electron gas on the surface of a cylinder. The novel topology leads to a spatially varying filling factor along the current path. The resulting inhomogeneous…

Mesoscale and Nanoscale Physics · Physics 2010-11-01 K. -J. Friedland , A. Siddiki , R. Hey , H. Kostial , A. Riedel , D. K. Maude

The extreme mechanical resilience of graphene and the peculiar coupling it hosts between lattice and electronic degrees of freedom have spawned a strong impetus towards strain-engineered graphene where, on the one hand, strain augments the…

Mesoscale and Nanoscale Physics · Physics 2017-08-16 Gareth W. Jones , D. A. Bahamon , A. H. Castro Neto , Vitor M. Pereira

For a sample of an arbitrary shape, the dependence of its conductance on the longitudinal and Hall conductivity is identical to that of a rectangle. We use analytic results for a conducting rectangle, combined with the semicircle model for…

Mesoscale and Nanoscale Physics · Physics 2008-07-12 Dmitry A. Abanin , Leonid S. Levitov

The electronic quality of two-dimensional systems is crucial when exploring quantum transport phenomena. In semiconductor heterostructures, decades of optimization have yielded record-quality two-dimensional gases with transport and quantum…

Using a generalized Landauer approach we study the non-linear transport in mesoscopic graphene with zig-zag and armchair edges. We find that for clean systems, the low-bias low-temperature conductance, G, of an armchair edge system in…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 N. M. R. Peres , A. H. Castro Neto , F. Guinea

Measurements in magnetic fields applied at small angles relative to the electron plane in silicon MOSFETs indicate a factor of two increase of the frequency of Shubnikov-de Haas oscillations at H>H_{sat}. This signals the onset of full spin…

Strongly Correlated Electrons · Physics 2009-10-31 Sergey A. Vitkalov , Hairong Zheng , K. M. Mertes , M. P. Sarachik , T. M. Klapwijk

We report on the investigation of magnetic field induced charge density wave and Hall coefficient sign reversal in a quasi-two dimensional electronic system of highly oriented pyrolytic graphite under very strong magnetic field. The change…

Mesoscale and Nanoscale Physics · Physics 2010-10-29 Amit Kumar , Jean-Marie Poumirol , Walter Escoffier , Michel Goiran , Bertrand Raquet , Jean Claude Pivin

Disorder at the etched edges of graphene quantum dots (GQD) enables random all-to-all interactions between localized charges in partially-filled Landau levels, providing a potential platform to realize the Sachdev-Ye-Kitaev (SYK) model. We…

The influence of the geometry of a thin superconducting sample on the penetration of the magnetic field lines and the arrangement of vortices are investigated theoretically. We compare superconducting disks, squares and triangles with the…

Superconductivity · Physics 2009-11-07 B. J. Baelus , F. M. Peeters