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We study Shubnikov-de Haas oscillations in a p-type WSe$_2$ monolayer under very high magnetic field. The oscillation pattern is complex due to a large spin and valley splitting, in the non-fully-resolved Landau level regime. Our…

Mesoscale and Nanoscale Physics · Physics 2020-10-07 Banan Kerdi , Mathieu Pierre , Robin Cours , Bénédicte Warot-Fonrose , Michel Goiran , Walter Escoffier

We present an effective theory describing the low-energy properties of an interacting 2D electron gas at large non-integer filling factors $\nu\gg 1$. Assuming that the interaction is sufficiently weak, $r_s < 1$, we integrate out all the…

Condensed Matter · Physics 2009-10-28 I. L. Aleiner , L. I. Glazman

An effective Hamiltonian for spinless electrons in the lowest Landau level (LLL) close to half filling is derived. As opposed to the treatment in standard Chern-Simons theories (CS) we first project to the LLL and only then apply a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 F. Evers

We investigate several spin-related phenomena in a confined two-dimensional electron gas (2DEG) using the Hartree-Fock approximation for the mutual Coulomb interaction of the electrons. The exchange term of the interaction causes a large…

Condensed Matter · Physics 2007-05-23 Vidar Gudmundsson , Juan Jose Palacios

We consider the problem of spin relaxation in a two-dimensional electron gas (2DEG) in a perpendicular magnetic field. We assume that the spin relaxation is induced by the Rashba spin-orbit (SO) interaction, which appears due to the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. A. Burkov , Leon Balents

The phase diagram of an interacting two-dimensional electron system in a high magnetic field is enriched by the varying form of the effective Coulomb interaction, which depends strongly on the Landau level index. While the fractional…

Landau like quantization of the Anandan system in a special electromagnetic field is studied. Unlike the cases of the AC system and the HMW system, the torques of the system on the magnetic dipole and the electric dipole don't vanish. By…

General Physics · Physics 2012-08-09 Xiaomin Yu , Kang Li

We study the fractional quantum Hall phases of a pseudospin-1/2 Bose gas in an artificial gauge field. In addition to an external magnetic field, the gauge field also mimics an intrinsic spin-orbit coupling of the Rashba type. While the…

Quantum Gases · Physics 2013-06-27 T. Grass , B. Juliá-Díaz , M. Burrello , M. Lewenstein

The spin splitting of conduction band electrons in inversion-asymmetric InGaAs/InP quantum wells is studied by Shubnikov-de Haas measurements combining the analysis of beating patterns and coincidence measurements in doubly tilted magnetic…

Mesoscale and Nanoscale Physics · Physics 2017-10-25 F. Herzog , H. Hardtdegen , Th. Schaepers , D. Grundler , M. A. Wilde

We have studied a quantum dot with Rashba spin orbit interaction on a plane where the position and momentum coordinates are considered to be noncommutative. The energy spectrum of the system is found to be equivalent to that of a quantum…

High Energy Physics - Theory · Physics 2013-04-26 B. K. Pal , B. Roy , B. Basu

A two-dimensional topologically nontrivial state of noninteracting electrons, such as the surface state of a three-dimensional topological insulator, is predicted to realize a topological superconductor when proximity-coupled to an ordinary…

Strongly Correlated Electrons · Physics 2025-10-07 Koji Kudo , Ryota Nakai , Hiroki Isobe , J. K. Jain , Kentaro Nomura

We develop a theory of the half-filled Landau level which shows that it is a two-component fluid. One of the components has spin up and the other spin down so that the electron-spin resonance can occur. The 1/3 filled level is fully spin…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Keshav N. Shrivastava

We present results for the ground states of a system of spin-1 bosons in a rotating trap. We focus on the dilute, weakly interacting regime, and restrict the bosons to the quantum states in the lowest Landau level (LLL) in the plane (disc),…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 J. W. Reijnders , F. J. M van Lankvelt , K. Schoutens , N. Read

We study transport properties of a two-dimensional electron system with Rashba spin-orbit coupling in a perpendicular magnetic field. The spin orbit coupling competes with Zeeman splitting to introduce additional degeneracies between…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Shun-Qing Shen , Michael Ma , X. C. Xie , Fu Chun Zhang

The effective interaction between composite fermions, set entirely by the Coulomb potential and the underlying electronic Landau level orbitals, can stabilize exotic fractional quantum Hall states. In particular, half-filled Landau levels…

Mesoscale and Nanoscale Physics · Physics 2025-12-29 Ravi Kumar , Tomer Firon , André Haug , Misha Yutushui , Alon Ner Gaon , Kenji Watanabe , Takashi Taniguchi , David F. Mross , Yuval Ronen

We study the symmetry properties of the Hubbard model with spin-orbit interactions of Rashba and Dresselhaus type. These interactions break the rotational symmetry in spin space, so that the magnetic order cannot be excluded by using the…

Strongly Correlated Electrons · Physics 2015-06-11 Giuseppe Guarnaccia , Canio Noce

We investigate the two-dimensional motion of relativistic cold electrons in the presence of `strictly' spatially varying magnetic fields satisfying, however, no magnetic monopole condition. We find that the degeneracy of Landau levels,…

Quantum Physics · Physics 2021-10-22 Srishty Aggarwal , Banibrata Mukhopadhyay , Gianluca Gregori

We study the effects of Landau level mixing in the limit of weak electron interaction. We use a numerical method to obtain the two- and three-body corrections to quantum Hall pseudopotentials, which are exact to lowest order in the Landau…

Strongly Correlated Electrons · Physics 2013-05-01 Steven H. Simon , Edward H. Rezayi

We describe an experimental technique to measure the chemical potential, $\mu$, in atomically thin layered materials with high sensitivity and in the static limit. We apply the technique to a high quality graphene monolayer to map out the…

Mesoscale and Nanoscale Physics · Physics 2021-04-21 Fangyuan Yang , Alexander A. Zibrov , Ruiheng Bai , Takashi Taniguchi , Kenji Watanabe , Michael P. Zaletel , Andrea F. Young

Exact wave functions and energy levels are obtained for an electron in a two-dimensional semiconductor circular quantum ring with a confining potential of finite depth in the presence of both an external magnetic field and the Rashba…

Mathematical Physics · Physics 2012-12-07 V. V. Kudryashov , A. V. Baran