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Related papers: Skyrmion Physics Beyond the Lowest Landau Level Ap…

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The discrepancy between the theoretically calculated and experimentally measured activation gaps in quantum Hall effect has long been a puzzle. We revisit this issue in the context of the $\nu=1$ quantum Hall state, while also incorporating…

Mesoscale and Nanoscale Physics · Physics 2021-09-15 Tongzhou Zhao

The nuclear spin relaxation rate (1/$T_1$) is measured for GaAs two-dimensional electron systems in the quantum Hall regime with an all-electrical technique for agitating and probing the nuclear spins. A "tilted plateau" feature is observed…

Mesoscale and Nanoscale Physics · Physics 2015-06-01 Tong Guan , Benedikt Friess , Yongqing Li , Shishen Yan , Vladimir Umansky , Klaus von Klitzing , Jurgen H. Smet

We propose a measure of the stability of composite fermions (CF's) at even-denominator Landau-level filling fractions. Assuming Landau-level mixing effects are not strong, we show that the CF liquid at $\nu=2+1/2$ in the $n=1$ Landau level…

Condensed Matter · Physics 2009-10-22 R. Morf , N. d'Ambrumenil

We study Landau-level mixing in a time-reversal-symmetric Hamiltonian composed of two sets of Landau levels with opposite magnetic field, relevant to moir\'e minibands in twisted homobilayer transition-metal dichalcogenides in the adiabatic…

Strongly Correlated Electrons · Physics 2025-09-24 Guopeng Xu , Nemin Wei , Inti Sodemann Villadiego , Chunli Huang

A remarkably long-lived spin plasmon may exist in two-dimensional electron liquids with imbalanced spin up and spin down population. Predictions for this interesting mode by Agarwal et al. [Phys. Rev. B 90, 155409 (2014)] are based on the…

Mesoscale and Nanoscale Physics · Physics 2016-03-09 Dominik Kreil , Raphael Hobbiger , Jürgen T. Drachta , Helga M. Böhm

Pairing of composite fermions provides a possible mechanism for fractional quantum Hall effect at even denominator fractions and is believed to serve as a platform for realizing quasiparticles with non-Abelian braiding statistics. We…

Strongly Correlated Electrons · Physics 2023-05-05 Tongzhou Zhao , Ajit C. Balram , J. K. Jain

Excitation with a massive spin reversal of the individual skyrmion/antiskyrmion type is theoretically studied in a quantum Hall ferromagnet, where the zero and first Landau levels are completely occupied only by electrons with spins aligned…

Strongly Correlated Electrons · Physics 2023-11-21 S. Dickmann , P. S. Berezhnoy

A resistively detected NMR technique was used to probe the two-dimensional electron gas in a GaAs/AlGaAs quantum well. The spin-lattice relaxation rate $(1/T_{1})$ was extracted at near complete filling of the first Landau level by…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 G. Gervais , H. L. Stormer , D. C. Tsui , P. L. Kuhns , W. G. Moulton , A. P. Reyes , L. N. Pfeiffer , K. W. Baldwin , K. W. West

We observe a dramatic reduction in the degree of spin-polarization of a two-dimensional electron gas in a magnetic field when the Fermi energy moves off the mid-point of the spin-gap of the lowest Landau level, $\nu=1$. This rapid decay of…

Condensed Matter · Physics 2009-10-28 E. H. Aifer , B. B. Goldberg , D. A. Broido

We derive a closed analytical expression for the exchange energy of the three-dimensional interacting electron gas in strong magnetic fields, which goes beyond the quantum limit (L=0) by explicitly including the effect of the second, L=1,…

Materials Science · Physics 2009-11-13 J. M. Morbec , K. Capelle

Using gradient expansion method the particle density, the energy and the action were calculated at the formation of a vortex-skyrmion at high magnetic field. No approximation of single Landau level was used contrary to other papers on the…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 S. V. Iordanskii , S. G. Plyasunov

The reduction of the energy gap due to Landau level mixing, characterized by the dimensionless parameter $\lambda = (e^2/\epsilon l_0)/\hbar\omega_c$, has been calculated by variational Monte Carlo for the fractional quantum Hall effect at…

Condensed Matter · Physics 2009-10-28 V. Melik-Alaverdian , N. E. Bonesteel

Tunneling measurements on 2D electron gases at high magnetic field reveal a qualitative difference between the two spin sublevels of the lowest Landau level. While the tunneling current-voltage characteristic at filling factor $\nu = 1/2$…

Mesoscale and Nanoscale Physics · Physics 2012-08-28 J. P. Eisenstein , L. N. Pfeiffer , K. W. West

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

Following recent work of Halperin, Lee, and Read, and Kalmeyer and Zhang, a double-layer electron system with total Landau-level filling factor $\nu=1/2$ is mapped onto an equivalent system of fermions in zero average magnetic field…

Condensed Matter · Physics 2009-10-22 N. E. Bonesteel

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

We study the effects of mixing of different Landau levels on the energies of one-body states, in the presence of a strong uniform magnetic field and a random potential in two dimensions. We use a perturbative approach and develop a…

Condensed Matter · Physics 2009-10-28 F. D. M. Haldane , Kun Yang

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

The measured melting curve $T_{m}(\nu)$ between the crystal and liquid phases is analyzed using thermodynamics to extract the change of magnetization $\Delta M$ as a function of the Landau level filling factor \ $\nu,$ near $\nu=1$. \ An…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Norman H. March , Alejandro Cabo , Francisco Claro

The observation of extensive fractional quantum Hall states in graphene brings out the possibility of more accurate quantitative comparisons between theory and experiment than previously possible, because of the negligibility of finite…

Strongly Correlated Electrons · Physics 2016-05-25 Ajit C. Balram , Csaba Tőke , A. Wójs , J. K. Jain