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We propose the quantum simulation of the Dirac equation with potentials, allowing the study of relativistic scaterring and the Klein tunneling. This quantum relativistic effect permits a positive-energy Dirac particle to propagate through a…

量子物理 · 物理学 2011-03-10 J. Casanova , J. J. Garcia-Ripoll , R. Gerritsma , C. F. Roos , E. Solano

Dirac fermions in condensed matter physics hold great promise for novel fundamental physics, quantum devices and data storage applications. IV-VI semiconductors, in the inverted regime, have been recently shown to exhibit massless…

介观与纳米尺度物理 · 物理学 2016-01-13 B. A. Assaf , T. Phuphachong , V. V. Volobuev , A. Inhofer , G. Bauer , G. Springholz , L. A. de Vaulchier , Y. Guldner

We present magneto-Raman scattering studies of electronic inter Landau level excitations in quasi-neutral graphene samples with different strengths of Coulomb interaction. The band velocity associated with these excitations is found to…

We solve the Dirac equation in one space dimension for the case of a linear, Lorentz-scalar potential. This extends earlier work of Bhalerao and Ram [Am. J. Phys. 69 (7), 817-818 (2001)] by eliminating unnecessary constraints. The spectrum…

量子物理 · 物理学 2015-06-26 John R. Hiller

We present a magneto-infrared spectroscopy study on a newly identified three-dimensional (3D) Dirac semimetal ZrTe$_5$. We observe clear transitions between Landau levels and their further splitting under magnetic field. Both the sequence…

介观与纳米尺度物理 · 物理学 2015-10-28 R. Y. Chen , Z. G. Chen , X. -Y. Song , J. A. Schneeloch , G. D. Gu , F. Wang , N. L. Wang

The transport properties of interacting electrons for which the spin degree of freedom is taken into account are numerically studied for small two dimensional diffusive clusters. On-site electron-electron interactions tend to delocalize the…

介观与纳米尺度物理 · 物理学 2009-11-07 Richard Berkovits , Jan W. Kantelhardt

In this paper we study the $(2+1)$-dimensional Klein-Gordon oscillator coupled to an external magnetic field, in which we change the standard partial derivatives for the Dunkl derivatives. We find the energy spectrum (Landau levels) in an…

数学物理 · 物理学 2025-07-29 R. D. Mota , D. Ojeda-Guillén , M. Salazar-Ramírez , V. D. Granados

We report an anti-levitation behavior of Landau levels in vanishing magnetic fields in a high quality hetero-junction insulated-gated field-effect transistor. We found, in the Landau fan diagram of electron density versus magnetic field,…

介观与纳米尺度物理 · 物理学 2016-10-26 W. Pan , K. W. Baldwin , K. W. West , L. N. Pfeiffer , D. C. Tsui

We calculate energy spectra of a two-dimensional electron system in a perpendicular magnetic field and periodic potentials of short periods. The Coulomb interaction is included within a screened Hartree-Fock approximation. The electrostatic…

介观与纳米尺度物理 · 物理学 2009-10-31 Andrei Manolescu , Vidar Gudmundsson

The intensity as well as position in energy of the absorption lines in the infrared conductivity of graphene, both exhibit features that are directly related to the Dirac nature of its quasiparticles. We show that the evolution of the…

强关联电子 · 物理学 2007-05-23 V. P. Gusynin , S. G. Sharapov , J. P. Carbotte

One-atom thick crystalline layers and their vertical heterostructures carry the promise of designer electronic materials that are unattainable by standard growth techniques. In order to realize their potential it is necessary to isolate…

介观与纳米尺度物理 · 物理学 2016-11-22 Chih-Pin Lu , Martin Rodriguez-Vega , Guohong Li , Adina Luican-Mayer , K. Watanabe , T. Taniguchi , Enrico Rossi , Eva Y. Andrei

A strong anisotropy in the longitudinal resistivity of a 2D electron system has been observed at half-filled high Landau levels. We report on detailed Hartree-Fock calculations of the unidirectional charge density wave (UCDW) orientation…

介观与纳米尺度物理 · 物理学 2007-05-23 T. Jungwirth , A. H. MacDonald , L. Smrčka , S. M. Girvin

The quantum limit can be easily reached in the Dirac semimetals under the magnetic field, which will lead to some exotic many-body physics due to the high degeneracy of the topological zeroth Landau bands (LBs). By solving the effective…

材料科学 · 物理学 2017-12-13 Zhida Song , Zhong Fang , Xi Dai

In the present article we show that the energy spectrum of the one-dimensional Dirac equation, in the presence of an attractive vectorial delta potential, exhibits a resonant behavior when one includes an asymptotically spatially vanishing…

高能物理 - 理论 · 物理学 2009-07-22 Victor M. Villalba , Luis A. Gonzalez-Diaz

When electrons moving in two-dimensions (2D) are subjected to a strong uniform magnetic field, they form flat bands called Landau levels, which are the basis for the quantum Hall effect. Landau levels can also arise from pseudomagnetic…

介观与纳米尺度物理 · 物理学 2025-05-14 Zheyu Cheng , Yi-jun Guan , Haoran Xue , Yong Ge , Ding Jia , Yang Long , Shou-qi Yuan , Hong-xiang Sun , Yidong Chong , Baile Zhang

An analytic closed form solution is derived for the bound states of electrons subject to a static, inhomogeneous ($1/r$-decaying) magnetic field, including the Zeeman interaction. The solution provides access to many-body properties of a…

介观与纳米尺度物理 · 物理学 2022-03-28 Dominik Sidler , Vasil Rokaj , Michael Ruggenthaler , Angel Rubio

We investigate the electronic eigenstates of graphene quantum dots of realistic size (i.e., up to 80 nm diameter) in the presence of a perpendicular magnetic field B. Numerical tight-binding calculations and Coulomb-blockade measurements…

介观与纳米尺度物理 · 物理学 2010-06-09 F. Libisch , S. Rotter , J. Güttinger , C. Stampfer , J. Burgdörfer

We show that the merging of the spin- and valley-split Landau levels at the chemical potential is an intrinsic property of a strongly-interacting two-dimensional electron system in silicon. Evidence for the level merging is given by…

强关联电子 · 物理学 2014-09-10 A. A. Shashkin , V. T. Dolgopolov , J. W. Clark , V. R. Shaginyan , M. V. Zverev , V. A. Khodel

Electrons on a square lattice with half a flux quantum per plaquette are considered. An effective description for the current loops is given by a two-dimensional Dirac theory with random mass. It is shown that the conductivity and the…

凝聚态物理 · 物理学 2009-10-28 K. Ziegler

Magnetic texturing on the surface of a topological insulator allows the design of wave guide networks and beam splitters for domain-wall Dirac fermions. Guided by simple analytic arguments we model a Dirac fermion interferometer consisting…

介观与纳米尺度物理 · 物理学 2015-06-05 René Hammer , Christian Ertler , Walter Pötz
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