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The quantum Hall effect is necessarily accompanied by low-energy excitations localized at the edge of a two-dimensional electron system. For the case of electrons interacting via the long-range Coulomb interaction, these excitations are…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 U. Zuelicke , R. Bluhm , V. A. Kostelecky , A. H. MacDonald

Hall and diagonal resistances of bilayer fractional quantum Hall systems are discussed theoretically. The bilayers have electrodes attached separately to each layer. They are assumed to be coupled weakly by interlayer tunneling, while the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Daijiro Yoshioka , Kentaro Nomura

We have studied theoretically the effect of a tuneable lateral confinement on two-dimensional hole systems realised in III-V semiconductor heterostructures. Based on the 4x4 Luttinger description of the valence band, we have calculated…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 U. Zuelicke

We consider tunneling from the spin-polarized tip into the Luttinger liquid edge state of quantum spin Hall system. This problem arose in context of the spin and charge fractionalization of an injected electron. Renormalization of the dc…

Strongly Correlated Electrons · Physics 2017-03-21 D. N. Aristov , R. A. Niyazov

The ground state structure of few-electron concentric double quantum rings is investigated within the local spin density approximation. Signatures of inter-ring coupling in the addition energy spectrum are identified and discussed. We show…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 J. I. Climente , J. Planelles , M. Barranco , F. Malet , M. Pi

Resonant inelastic light scattering experiments access the low lying excitations of electron liquids in the fractional quantum Hall regime in the range $2/5 \geq \nu \geq 1/3$. Modes associated with changes in the charge and spin degrees of…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 I. Dujovne , C. F. Hirjibehedin , A. Pinczuk , Moonsoo Kang , B. S. Dennis , L. N. Pfeiffer , K. W. West

The flat band of edge states which occur in the simple tight-binding lattice model of graphene with a zig-zag edge have long been conjectured to take up a ferromagnetic configuration. In this work we demonstrate that, for a large class of…

Mesoscale and Nanoscale Physics · Physics 2023-08-02 Gordon W. Semenoff

Broken symmetry ground states with uniform electron density are common in quantum Hall systems when two Landau levels simultaneously approach the chemical potential at integer filling factor $\nu$. The close analogy between these…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 T. Jungwirth , A. H. MacDonald

The collective modes of stripes in double layer quantum Hall systems are computed using the time-dependent Hartree-Fock approximation. It is found that, when the system possesses spontaneous interlayer coherence, there are two gapless…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 R. Cote , H. A. Fertig

We study numerically the ground state magnetization for clusters of interacting electrons in two dimensions in the regime where the single particle wavefunctions are localized by disorder. It is found that the Coulomb interaction leads to a…

Condensed Matter · Physics 2009-11-07 Giuliano Benenti , Gaetan Caldara , Dima L. Shepelyansky

We study a plasmonic metasurface that supports pseudospin dependent edge states confined at a subwavelength scale, considering full electrodynamic interactions including retardation and radiative effects. The spatial symmetry of the lattice…

Mesoscale and Nanoscale Physics · Physics 2019-12-03 Matthew Proctor , Richard V. Craster , Stefan A. Maier , Vincenzo Giannini , Paloma A. Huidobro

We study fractional quantum Hall states in the cylinder geometry with open boundaries. We focus on principal fermionic 1/3 and bosonic 1/2 fractions in the case of hard-core interactions. The gap behavior as a function of the cylinder…

Strongly Correlated Electrons · Physics 2012-10-08 Paul Soulé , Thierry Jolicoeur

In Landau levels N > 1, the ground state of the two-dimensional electron gas (2DEG) in a perpendicular magnetic field evolves from a Wigner crystal for small filling of the partially filled Landau level, into a succession of bubble states…

Mesoscale and Nanoscale Physics · Physics 2009-09-29 R. Cote , C. Doiron , J. Bourassa , H. A. Fertig

Multiple spin density waves and related vortex-type magnetic structures in the itinerant electron system with inversion symmetry have been investigated on the basis of the Hubbard model and the generalized Hartree-Fock approximation…

Strongly Correlated Electrons · Physics 2020-02-19 Yoshiro Kakehashi

We investigate the structure of gapless edge modes propagating at the boundary of some fractional quantum Hall states. We show how to deduce explicit trial wavefunctions from the knowledge of the effective theory governing the edge modes.…

Mesoscale and Nanoscale Physics · Physics 2016-08-17 M. V. Milovanović , Th. Jolicœur

We present a theory of electronic properties of gated triangular graphene quantum dots with zigzag edges as a function of size and carrier density. We focus on electronic correlations, spin and geometrical effects using a combination of…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 P. Potasz , A. D. Guclu , A. Wojs , P. Hawrylak

Experiments on a nearly spin degenerate two-dimensional electron system reveals unusual hysteretic and relaxational transport in the fractional quantum Hall effect regime. The transition between the spin-polarized (with fill fraction $\nu =…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 J. Eom , H. Cho , W. Kang , K. L. Campman , A. C. Gossard , M. Bichler , W. Wegscheider

We study the dynamics of edge states of the two dimensional BHZ Hamiltonian in a ribbon geometry following a sudden quench to the quantum critical point separating the topological insulator phase from the trivial insulator phase. The…

Mesoscale and Nanoscale Physics · Physics 2013-09-05 Aavishkar A. Patel , Shraddha Sharma , Amit Dutta

We report on an absolute measurement of the electronic spin polarization of the $\nu=1$ integer quantum Hall state. The spin polarization is extracted in the vicinity of $\nu=1$ (including at exactly $\nu=1$) via resistive NMR experiments…

Mesoscale and Nanoscale Physics · Physics 2016-03-22 B. A. Piot , W. Desrat , D. K. Maude , D. Kazazis , A. Cavanna , U. Gennser

We use the Hartree-Fock method to study an interacting one-dimensional electron system on a finite wire, partially depleted at the center by a smooth potential barrier. A uniform one-Tesla Zeeman field is applied throughout the system. We…

Mesoscale and Nanoscale Physics · Physics 2012-10-29 Jiang Qian , Bertrand I. Halperin