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We study magnetotransport in a high mobility Si two-dimensional electron system by in situ tilting of the sample relative to the magnetic field. A pronounced dip in the longitudinal resistivity is observed during the Landau level crossing…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Tohru Okamoto , Kohei Sasaki , Kiyohiko Toyama , Ryuichi Masutomi , Kentarou Sawano , Yasuhiro Shiraki

Certain fractional quantum Hall edges have been predicted to undergo quantum phase transitions which reduce the number of edge channels and at the same time bind electrons together. However, detailed studies of experimental signatures of…

Mesoscale and Nanoscale Physics · Physics 2023-10-24 Christian Spånslätt , Ady Stern , Alexander D. Mirlin

We report the evolution of the fractional quantum Hall state (FQHS) at even-denominator filling factor $\nu=7/2$ in wide GaAs quantum wells in which electrons occupy two electric subbands. The data reveal subtle and distinct evolutions as a…

Mesoscale and Nanoscale Physics · Physics 2012-03-06 Yang Liu , J. Shabani , D. Kamburov , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin

Geometric fluctuations of the density mode in a fractional quantum Hall (FQH) state can give rise to a nematic FQH phase, a topological state with a spontaneously broken rotational symmetry. While experiments on FQH states in the second…

Strongly Correlated Electrons · Physics 2024-06-11 Songyang Pu , Ajit C. Balram , Joseph Taylor , Eduardo Fradkin , Zlatko Papić

We report on the dramatic evolution of the quantum Hall ferromagnet in the fractional quantum Hall regime at $\nu = 2/5$ filling. A large enhancement in the characteristic timescale gives rise to a dynamical transition into a novel…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Michelle Chen , Woowon Kang , Werner Wegscheider

We report the results of two fundamental transport measurements at a Landau level filling factor $\nu$ of 1/2. The well known ballistic electron transport phenomena of quenching of the Hall effect in a mesoscopic cross-junction and negative…

Condensed Matter · Physics 2009-10-28 J. E. F. Frost , C. -T. Liang , D. R. Mace , M. Y. Simmons , D. A. Ritchie , M. Pepper

When confined to two dimensions and exposed to a strong magnetic field, electrons screen the Coulomb interaction in a topological fashion; they capture and even number of quantum vortices and transform into particl es called `composite…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Vito W. Scarola , Kwon Park , J. K. Jain

We revisit the physics of hole-conjugate Fractional Quantum Hall (FQH) phases characterized by counter-propagating edge channels at filling factors above 1/2. We propose a minimal and intuitive model that successfully accounts for all…

Mesoscale and Nanoscale Physics · Physics 2024-12-05 D. Christian Glattli , Charles Boudet , Avirup De , Preden Roulleau

We report tilted-field magnetotransport measurements of two-dimensional electron systems in a 200 Angstrom-wide Al(0.13)Ga(0.87)As quantum well. We extract the energy gap for the quantum Hall state at Landau level filling \nu =1 as a…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 S. P. Shukla , M. Shayegan , S. R. Parihar , S. A. Lyon , N. R. Cooper , A. A. Kiselev

We analytically calculate gaps for the 1/3, 2/5, and 3/7 polarized and partially polarized Fractional Quantum Hall states based on the Hamiltonian Chern-Simons theory we have developed. For a class of potentials that are soft at high…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Ganpathy Murthy , R. Shankar

We study the quantum Hall states that appear in the dilute limit of rotating ultracold fermionic gases when a single hyperfine species is present. We show that the p-wave scattering translates into a pure hard-core interaction in the lowest…

Other Condensed Matter · Physics 2009-11-10 Thierry Jolicoeur , Nicolas Regnault

Highly nonlocal interparticle correlations in quantum Hall states of 2D charged system exposed to the perpendicular strong magnetic field are detailed by application of the commensurability condition upon path-integral quantization approach…

Mesoscale and Nanoscale Physics · Physics 2020-11-23 Janusz E. Jacak

We have experimentally confirmed the quantum Hall ferromagnetic state with Chern number \nu=0, characterized by the helical edge state, in a layered organic Dirac fermion system \alpha-(BEDT-TTF)_2I_3. The interlayer resistance saturates at…

Strongly Correlated Electrons · Physics 2019-09-17 Mitsuyuki Sato , Takako Konoike , Toshihito Osada

It has long been puzzling that fractional quantum Hall states in the first excited Landau level (1LL) often differ significantly from their counterparts in the lowest Landau level. We show that the dispersion of composite fermions (CFs) is…

Mesoscale and Nanoscale Physics · Physics 2025-02-25 Hao Jin , Junren Shi

We calculate in an analyical fashion the energies and net spins of skyrmions in fractional quantum Hall systems, based on the suggestion that skyrmion states are spontaneously $L_Z$ and $S_Z$ symmetry-breaking states. The quasihole-skyrmion…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 Kang-Hun Ahn , K. J. Chang

The fractional quantum Hall (FQH) state is a topological state of matter resulting from the many-body effect of interacting electrons and is of vast interest in fundamental physics. The experimental observation of topological surface states…

Strongly Correlated Electrons · Physics 2012-05-15 Dong-Xia Qu , Y. S. Hor , R. J. Cava

We report on transport measurements of dual-gated, single-layer graphene devices in the quantum Hall regime, allowing for independent control of the filling factors in adjoining regions. Progress in device quality allows us to study…

Mesoscale and Nanoscale Physics · Physics 2014-05-15 F. Amet , J. R. Wiliams , K. Watanabe , T. Taniguchi , D. Goldhaber-Gordon

We demonstrate the existance of ferrimagnetic and ferromagnetic phases in a spin phase diagram of coupled lateral quantum dot molecules in the quantum Hall regime. The spin phase diagram is determined from Hartree-Fock Configuration…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Ramin M. Abolfath , Pawel Hawrylak

We show that the recently discovered $\nu=1/2$ quantum Hall states in bilayer systems are triplet p-wave pairing states of composite Fermions, of exactly the same form as $^{3}$He superfluids. The observed persistence (though weakening) of…

Condensed Matter · Physics 2016-08-31 Tin-Lun Ho

Using the parton construction, we build a three-dimensional (3D) multilayer fractional quantum Hall state with average filling \nu = 1/3 per layer that is qualitatively distinct from a stacking of weakly coupled Laughlin states. The state…

Mesoscale and Nanoscale Physics · Physics 2011-08-26 Michael Levin , Matthew P. A. Fisher