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Determining plateau widths and energy gaps is the remaining task to fully understand the electron transport that gives the fractional quantum Hall effect at the lowest Landau level (LLL). We report that this determination is given by the…

Strongly Correlated Electrons · Physics 2022-07-26 Jongbae Hong

We present a unified description of the quantum Hall effect in graphene on the basis of the 8-component Dirac Hamiltonian and the supersymmetric (SUSY) quantum mechanics. It is remarkable that the zero-energy state emerges because the…

Mesoscale and Nanoscale Physics · Physics 2010-11-11 Motohiko Ezawa

We study a two-dimensional electron system in the presence of both Rashba and Dresselhaus spin-orbit interactions in a perpendicular magnetic field. Defining two suitable boson operators and using the unitary transformations we are able to…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Degang Zhang

We investigate electronic transport in dual-gated twisted bilayer graphene. Despite the sub-nanometer proximity between the layers, we identify independent contributions to the magnetoresistance from the graphene Landau level spectrum of…

The high-density electron gas in a strong magnetic field B and at zero temperature is investigated. The quantum strong-field limit is considered in which only the lowest Landau level is occupied. It is shown that the perturbation series of…

Condensed Matter · Physics 2009-10-31 M. Steinberg , J. Ortner

We study the quantum Hall states in the lowest Landau level for a single wide quantum well. Due to a separation of charges to opposite sides of the well, a single wide well can be modelled as an effective two level system. We provide…

Condensed Matter · Physics 2009-10-28 M. Abolfath , L. Belkhir , N. Nafari

We study theoretically the effect of an electric field on the electron states and far-infrared optical properties in narrow-gap lead salt quantum wells. The electron states are described by a two-band Hamiltonian. An application of a strong…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 O. E. Raichev , P. Vasilopoulos , F. T. Vasko

First-order phase transitions produce abrupt changes to the character of both ground and excited electronic states. Here we conduct electronic compressibility measurements to map the spin phase diagram and Landau level (LL) energies of…

Interband pairing in multiband superconductors is often neglected because of its higher energetic cost compared with intraband pairing. We show that, in multiband systems, a Zeeman magnetic field can stabilize interband pairing through the…

Superconductivity · Physics 2026-03-10 Shohei O. Shingu , Jun Goryo

We report measurements on a silicon nanowire quantum dot with a clarity that allows for a complete understanding of the spin states of the first four holes. First, we show control of the hole number down to one. Detailed measurements at…

Mesoscale and Nanoscale Physics · Physics 2013-07-16 F. A. Zwanenburg , C. E. W. M. van Rijmenam , Y. Fang , C. M. Lieber , L. P. Kouwenhoven

We study the Zeeman splitting in lateral quantum dots that are defined in GaAs-AlGaAs het- erostructures by means of split gates. We demonstrate a non-linear dependence of the splitting on magnetic field and its substantial variations from…

Mesoscale and Nanoscale Physics · Physics 2018-02-14 V. P. Michal , T. Fujita , T. A. Baart , J. Danon , C. Reichl , W. Wegscheider , L. M. K. Vandersypen , Y. V. Nazarov

We consider a Bose gas with an attractive interaction in a symmetric double well potential. In the Hartree approximation, the ground state solution spontaneously breaks the symmetry of the trapping potential above certain value of the…

Other Condensed Matter · Physics 2009-11-13 P. Ziń , J. Chwedeńczuk , B. Oleś , K. Sacha , M. Trippenbach

Employing the low-energy effective theory alongside a combination of analytical and numerical techniques, we explore the Landau level collapse phenomenon, uncovering previously undisclosed features. We consider both finite-width graphene…

Mesoscale and Nanoscale Physics · Physics 2024-09-05 A. A. Herasymchuk , S. G. Sharapov , V. P. Gusynin

The spin degree of freedom in quantum phases of the second Landau level is probed by resonant light scattering. The long wavelength spin wave, which monitors the degree of spin polarization, is at the Zeeman energy in the fully…

Strongly Correlated Electrons · Physics 2015-03-17 Trevor D. Rhone , Jun Yan , Yann Gallais , Aron Pinczuk , Loren Pfeiffer , Ken West

The rearrangement of single-particle degrees of freedom of a dilute two-dimensional electron gas in the vicinity of the quantum critical point is examined within a microscopic approach. It is shown that just beyond the critical point, the…

Strongly Correlated Electrons · Physics 2007-05-23 M. Baldo , V. V. Borisov , J. W. Clark , V. A. Khodel , M. V. Zverev

We theoretically investigate the energy of the ground state exciton confined to two-dimensional (2D) monolayers with circular shape. Within an effective mass approach employing a nonlocal screening effect on the Coulomb potential energy, we…

Mesoscale and Nanoscale Physics · Physics 2018-08-15 Shota Ono , Tomohiro Ogura

The energy spectrum of a two-dimensional electron gas (2DEG) in the fractional quantum Hall regime interacting with an optically injected valence band hole is studied as a function of the filling factor $\nu$ and the separation $d$ between…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Arkadiusz Wojs , John J. Quinn

The low-energy effective Hamiltonian of the strong `spin'-orbit coupled one-dimensional hole gas in a cylindrical Ge nanowire in the presence of a strong magnetic field is studied both numerically and analytically. Basing on the…

Mesoscale and Nanoscale Physics · Physics 2023-02-13 Rui Li , Xin-Yu Qi

Composite fermion metal states emerge in quantum Hall bilayers at total Landau level filling factor $\nu_T$=1 when the tunneling gap collapses by application of in-plane components of the external magnetic field. Evidence of this…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Biswajit Karmakar , Stefano Luin , Vittorio Pellegrini , Aron Pinczuk , Brian S. Dennis , Loren N. Pfeiffer , Ken W. West

We report on our accurate evaluation of spin polarizations of the ground state and particle-hole gaps for partially-filled lowest Landau level, observed in recent experiments on graphene subjected to ultra-high magnetic fields. We find that…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Tapash Chakraborty , Pekka Pietilainen