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The fractional quantum Hall effect has been considered as a puzzling quantum many-body phenomenon that has yet to be fully explained. The plateau width and excitation energy gap are particularly problematic. We report here that those two…

Mesoscale and Nanoscale Physics · Physics 2022-07-26 Jongbae Hong

In a low-disorder two-dimensional electron system, when two Landau levels of opposite spin or pseudospin cross at the Fermi level, the dominance of the exchange energy can lead to a ferromagnetic, quantum Hall ground state whose gap is…

Mesoscale and Nanoscale Physics · Physics 2022-11-10 Meng K. Ma , Chengyu Wang , Y. J. Chung , L. N. Pfeiffer , K. W. West , K. W. Baldwin , R. Winkler , M. Shayegan

We investigate the topological defects in phenomenological models describing mixtures of charged condensates with commensurate electric charges. Such situations are expected to appear for example in liquid metallic deuterium. This is…

Superconductivity · Physics 2014-06-19 Julien Garaud , Egor Babaev

Much of the present day qualitative phenomenology of the fractional quantum Hall effect can be understood by neglecting the interactions between composite fermions altogether. For example the fractional quantum Hall effect at $\nu=n/(2pn\pm…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Seung-Yeop Lee , Vito W. Scarola , J. K. Jain

Properly regularized second-order degenerate perturbation theory is applied to compute the contribution of higher Landau levels to the low-energy spectrum of interacting electrons in a disk-shaped quantum dot. At ``filling factor'' near…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Augusto Gonzalez , Juan David Serna , Roberto Capote , Guillermo Avendaño

The $\nu=2/5$ state is spin-unpolarized at weak magnetic field and fully polarized at strong field. At intermediate field, a plateau of half the maximal polarization is observed. We study this phenomenon in the frame of composite fermion…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Shi-Jie Yang , Yue Yu , Bang-Fen Zhu

Reports of weak local minima in the magnetoresistance at $\nu=2+3/5$, $2+3/7$, $2+4/9$, $2+5/9$, $2+5/7$, and $2+5/8$ in the second Landau level of the electron gas in GaAs/AlGaAs left open the possibility of fractional quantum Hall states…

Strongly Correlated Electrons · Physics 2018-06-27 V. Shingla , E. Kleinbaum , A. Kumar , L. N. Pfeiffer , K. W. West , G. A. Csathy

While in the lowest Landau level the electron-electron interaction leads to the formation of the Wigner crystal, in higher Landau levels a solid phase with multiple electrons in a lattice site of crystal was predicted, which was called the…

Mesoscale and Nanoscale Physics · Physics 2015-03-26 Xuebin Wang , Hailong Fu , Lingjie Du , Xiaoxue Liu , Pengjie Wang , L. N. Pfeiffer , K. W. West , Rui -Rui Du , Xi Lin

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 consider the two lowest Landau levels at half filling. In the higher Landau level (nu =5/2), we find a first order phase transition separating a compressible striped phase from a paired quantum Hall state, which is identified as the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 E. H. Rezayi , F. D. M. Haldane

At low Landau level filling of a two-dimensional electron system, typically associated with the formation of an electron crystal, we observe local minima in Rxx at filling factors nu=2/11, 3/17, 3/19, 2/13, 1/7, 2/15, 2/17, and 1/9. Each of…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 W. Pan , H. L. Stormer , D. C. Tsui , L. N. Pfeiffer , K. W. Baldwin , K. W. West

An analytic solution of the Hartree-Fock problem for a 2DEG at filling 1/3 and half an electron per unit cell is presented. The Coulomb interaction dynamically breaks the first Landau level in three narrow sub-bands, one of which is fully…

Condensed Matter · Physics 2009-11-10 Alejandro Cabo , Francisco Claro

We present a quantitative study of most prominent incompressible quantum Hall states in the partially filled first excited Landau level (LL1) which have been recently studied experimentally by Choi et al. The pseudopotential describing the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 George E. Simion , John J. Quinn

We predict that an incompressible fractional quantum Hall state is likely to form at $\nu=3/8$ as a result of a chiral p-wave pairing of fully spin polarized composite fermions carrying four quantized vortices, and that the pairing is of…

Strongly Correlated Electrons · Physics 2015-06-05 Sutirtha Mukherjee , Sudhansu S. Mandal , Arkadiusz Wójs , J. K. Jain

Coulomb drag resulting from interlayer electron-electron scattering in double layer 2D electron systems at high magnetic field has been measured. Within the lowest Landau level the observed drag resistance exceeds its zero magnetic value by…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 M. P. Lilly , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

We apply quantum defect theory to study low energy ground state atomic collisions including aligned dipole interactions such as those induced by an electric field. Our results show that coupled even ($l$) relative orbital angular momentum…

Quantum Physics · Physics 2009-11-07 B. Deb , L. You

Charged colloidal particles - both on the nano and micron scales - have been instrumental in enhancing our understanding of both atomic and colloidal crystals. These systems can be straightforwardly realized in the lab, and tuned to…

Soft Condensed Matter · Physics 2021-05-05 Rinske M. Alkemade , Marjolein de Jager , Berend van der Meer , Frank Smallenburg , Laura Filion

We have studied the $\nu=5/2$ fractional quantum Hall state in a density-tunable sample at extremely low electron densities. For the densities accessed in our experiment, the Landau level mixing parameter $\kappa$ spans the…

Mesoscale and Nanoscale Physics · Physics 2017-08-08 N. Samkharadze , Dohyung Ro , L. N. Pfeiffer , K. W. West , G. A. Csáthy

We investigate the spectrum of interacting electrons at arbitrary filling factors in the limit of vanishing Zeeman splitting. The composite fermion theory successfully explains the low-energy spectrum {\em provided the composite fermions…

Condensed Matter · Physics 2009-10-22 X. G. Wu , J. K. Jain

A low-disorder, two-dimensional electron system (2DES) subjected to a large perpendicular magnetic field and cooled to very low temperatures provides a rich platform for studies of many-body quantum phases. The magnetic field quenches the…

Mesoscale and Nanoscale Physics · Physics 2022-01-10 K. A. Villegas , S. K. Singh , H. Deng , Y. J. Chung , L. N. Pfeiffer , K. W. West , K. W. Baldwin , M. Shayegan