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Related papers: Skyrme Crystal In A Two-Dimensional Electron Gas

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The pair distribution function and the static structure factor are computed for composite fermions. Clear and robust evidence for a $2k_F$ structure is seen in a range of filling factors in the vicinity of the half-filled Landau level.…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 R. K. Kamilla , J. K. Jain , S. M. Girvin

The Coulomb gap observed in tunneling between parallel two-dimensional electron systems, each at half filling of the lowest Landau level, is found to depend sensitively on the presence of an in-plane magnetic field. Especially at low…

Mesoscale and Nanoscale Physics · Physics 2016-09-14 J. P. Eisenstein , T. Khaire , D. Nandi , A. D. K. Finck , L. N. Pfeiffer , K. W. West

We study the quantum mechanics of magnetic skyrmions in the vicinity of the skyrmion-crystal to ferromagnet phase boundary in two-dimensional magnets. We show that the skyrmion excitation has an energy dispersion that splits into multiple…

Strongly Correlated Electrons · Physics 2016-11-03 Rina Takashima , Hiroaki Ishizuka , 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…

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

In this work we investigate the ground state of a momentum-confined interacting 2D electron gas, a momentum-space analog of an infinite quantum well. The study is performed by combining analytical results with a numerical exact…

Strongly Correlated Electrons · Physics 2024-04-22 Ohad Antebi , Ady Stern , Erez Berg

We calculate, within a self-consistent Hartree-Fock approximation, the local density of states for different electron crystals in graphene subject to a strong magnetic field. We investigate both the Wigner crystal and bubble crystals with…

Mesoscale and Nanoscale Physics · Physics 2009-12-01 O. Poplavskyy , M. O. Goerbig , C. Morais Smith

In this paper we study the energy spectrum of a two dimensional electron gas (2DEG) in a two dimensional periodic magnetic field. Both a square magnetic lattice and a triangular one are considered. We consider the general case where the…

Condensed Matter · Physics 2009-10-22 M. C. Chang , Q. Niu

The interplay between strongly correlated liquid and crystal phases for two-dimensional electrons exposed to a high transverse magnetic field is of fundamental interest. Through the non-perturbative fixed phase diffusion Monte Carlo method,…

Strongly Correlated Electrons · Physics 2018-09-25 Jianyun Zhao , Yuhe Zhang , J. K. Jain

At very low density, the electrons in a uniform electron gas spontaneously break symmetry and form a crystalline lattice called a Wigner crystal. But which type of crystal will the electrons form? We report a numerical study of the density…

The effects of interactions in a 2D electron system in a strong magnetic field of two degenerate Landau levels with opposite spins and at filling factors 1/2 are studied. Using the Chern-Simons gauge transformation, the system is mapped to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Matteo Merlo , Nicodemo Magnoli , Maura Sassetti , Bernhard Kramer

Hartree-Fock theory predicted stripe or bubble phase in the third and higher Landau levels for two-dimensional electrons, and experimental evidences has been accumulated. In this paper theoretical confirmation of the stripe phase and bubble…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Daijiro Yoshioka , Naokazu Shibata

We report on a finite-size Hartree-Fock study of the competition between disorder and interactions in a two-dimensional electron gas near Landau level filling factor $\nu=1$. The ground state at $\nu=1$ evolves with increasing disorder from…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Jairo Sinova , A. H. MacDonald , S. M. Girvin

Mean-field calculations for the two dimensional electron gas (2DEG) in a large magnetic field with a partially filled Landau level with index $N\geq 2$ consistently yield ``stripe-ordered'' charge-density wave ground-states, for much the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Eduardo Fradkin , Steven A. Kivelson

Using the Hartree-Fock approximation, we calculate the energy of different Wigner crystal states for the two-dimensional electron gas of a double quantum well system in a strong magnetic field. Our calculation takes interlayer hopping as…

Condensed Matter · Physics 2009-10-22 Lian Zheng , H. A. Fertig

We present a set of explicit trial wavefunctions for the filling factors \nu=n/(2n\pm 1) and \nu=1/2 in the symmetric gauge. We show that the zeroes of the wavefunction, except those dictated by the Fermi statistics, are detached from the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Jung Hoon Han , S. -R. Eric Yang

We present the effective theory for low energy dynamics of a two-dimensional interacting electrons in the presence of a weak short-range disorder and a weak perpendicular magnetic field, the filling factor $\nu \gg 1$. We investigate the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 I. S. Burmistrov

We analyze, within a minimal model that allows analytical calculations, the electronic structure and Landau levels of graphene multi-layers with different stacking orders. We find, among other results, that electrostatic effects can induce…

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

We study the ground state properties of a quantum antiferromagnet on the kagome lattice in the presence of a magnetic field, paying particular attention to the stability of the plateau at magnetization 1/3 of saturation and the nature of…

Strongly Correlated Electrons · Physics 2007-05-23 D. C. Cabra , M. D. Grynberg , P. C. W. Holdsworth , A. Honecker , P. Pujol , J. Richter , D. Schmalfuss , J. Schulenburg

Recent transport experiments have established that two-dimensional electron systems with high-index partial Landau level filling, $\nu^{*} =\nu - \lbrack \nu \rbrack$, have ground states with broken orientational symmetry. In a mean-field…

Condensed Matter · Physics 2007-05-23 A. H. MacDonald , Matthew P. A. Fisher