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Impacts of domain textures on low-lying neutral excitations in the bulk of fractional quantum Hall effect (FQHE) systems are probed by resonant inelastic light scattering. We demonstrate that large domains of quantum fluids support…

Mesoscale and Nanoscale Physics · Physics 2022-01-11 Ziyu Liu , Ursula Wurstbauer , Lingjie Du , Ken W. West , Loren N. Pfeiffer , Michael J. Manfra , Aron Pinczuk

During the reconstruction of the edge of a quantum Hall liquid, Coulomb interaction energy is lowered through the change in the structure of the edge. We use theory developed earlier by one of the authors [K. Yang, Phys. Rev. Lett. 91,…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Akakii Melikidze , Kun Yang

We introduce and study the Wannier functions for an electron moving in a plane under the influence of a perpendicular uniform and constant magnetic field. The relevance for the Fractional Quantum Hall Effect is discussed; in particular it…

Condensed Matter · Physics 2015-06-25 R. Ferrari

We consider quantum Hall states on a space with boundary, focusing on the aspects of the edge physics which are completely determined by the symmetries of the problem. There are four distinct terms of Chern-Simons type that appear in the…

Strongly Correlated Electrons · Physics 2016-03-30 Andrey Gromov , Kristan Jensen , Alexander G. Abanov

We experimentally study equilibration across the sample edge at high fractional filling factors 4/3, 5/3 under experimental conditions, which allow us to obtain high imbalance conditions. We find a lack of the full equilibration across the…

Mesoscale and Nanoscale Physics · Physics 2007-11-09 E. V. Deviatov , A. Lorke , W. Wegscheider

We have analyzed the effects of the anisotropic energy bands of phosphorene on magnetoroton branches for electrons and holes in the two Landau levels close to the band edges. We have found that the fractional quantum Hall effect gap in the…

Mesoscale and Nanoscale Physics · Physics 2015-10-28 Areg Ghazaryan , Tapash Chakraborty

An estimate is presented of the leading radiative corrections to low energy electroweak precision measurements from strong nonresonant WW scattering at the TeV energy scale. The estimate is based on a novel representation of nonresonant…

High Energy Physics - Phenomenology · Physics 2009-10-31 Michael S. Chanowitz

We consider a fractional quantum Hall bilayer system with an interface between quantum Hall states of filling fractions $(\nu_{\text{top}},\nu_{\text{bottom}})=(1,1)$ and $(1/3,2)$, motivated by a recent approach to engineering artificial…

Mesoscale and Nanoscale Physics · Physics 2019-06-19 Jukka I. Väyrynen , Moshe Goldstein , Yuval Gefen

We find unexpected low energy excitations of fully spin-polarized composite-fermion ferromagnets in the fractional quantum Hall liquid, resulting from a complex interplay between a topological order manifesting through new energy levels and…

Strongly Correlated Electrons · Physics 2011-11-10 U. Wurstbauer , S. S. Mandal , D. Majumder , I. Dujovne , T. D. Rhone , B. S. Dennis , A. F. Rigosi , J. K. Jain , A. Pinczuk , K. W. West , L. N. Pfeiffer

We report stroboscopic time-resolved photoluminescence (PL) microscopy and spectroscopy revealing the transverse near field of an edge excitation in a $\nu=1/3$ fractional quantum Hall (FQH) state. Time-resolved $y$-$t$ maps reveal an…

Mesoscale and Nanoscale Physics · Physics 2026-05-22 Yunhyeon Jeong , Akinori Kamiyama , John N. Moore , Takaaki Mano , Ken-ichi Sasaki , Yuuki Sugiyama , Tokiro Numasawa , Masahiro Hotta , Go Yusa

Two-dimensional topological insulators, and in particular quantum Hall states, are characterized by an insulating bulk and a conducting edge. Fractional states may host both downstream (dictated by the magnetic field) and upstream…

Mesoscale and Nanoscale Physics · Physics 2022-04-06 Ron Aharon Melcer , Bivas Dutta , Christian Spånslätt , Jinhong Park , Alexander D. Mirlin , Vladimir Umansky

Using the Calogero model as an example, we show that the transport in interacting non-dissipative electronic systems is essentially non-linear. Non-linear effects are due to the curvature of the electronic spectrum near the Fermi energy. As…

Strongly Correlated Electrons · Physics 2007-05-23 Eldad Bettelheim , Alexander G. Abanov , Paul Wiegmann

The fractional quantum Hall effect remains a captivating area in condensed matter physics, characterized by strongly correlated topological order, which manifests as fractionalized excitations and anyonic statistics. Numerical simulations,…

Strongly Correlated Electrons · Physics 2025-10-27 Yi Yang , Yayun Hu , Zi-Xiang Hu

Multicomponent quantum Hall effect, under the interplay between intercomponent and intracomponent correlations, leads us to new emergent topological orders. Here, we report the theoretical discovery of fractional quantum hall effect of…

Strongly Correlated Electrons · Physics 2022-07-01 Tian-Sheng Zeng

The effective action for low-energy excitations of Laughlin's states is obtained by systematic expansion in inverse powers of the magnetic field. It is based on the W-infinity symmetry of quantum incompressible fluids and the associated…

Strongly Correlated Electrons · Physics 2016-04-20 Andrea Cappelli , Enrico Randellini

Understanding topological phases of matter is essential for advancing both the fundamental theory and practical applications of condensed matter physics. Recently, a theoretical framework for a quantum Hall system with an expanding edge…

Mesoscale and Nanoscale Physics · Physics 2025-06-26 Yuuki Sugiyama , Tokiro Numasawa

We analyse various microscopic properties of the nematic fractional quantum Hall effect (FQHN) in the thermodynamic limit, and present necessary conditions required of the microscopic Hamiltonians for the nematic FQHE to be robust.…

Strongly Correlated Electrons · Physics 2020-09-09 Bo Yang

It has been well-known that topological phenomena with fractional excitations, i.e., the fractional quantum Hall effect (FQHE) \cite{Tsui1982} will emerge when electrons move in Landau levels. In this letter, we report the discovery of the…

Strongly Correlated Electrons · Physics 2011-07-13 D. N. Sheng , Zheng-Cheng Gu , Kai Sun , L. Sheng

Quantum Hall edge excitations, whose low-energy behavior admits a chiral conformal-field-theory description, are a promising platform for engineered dynamical experiments, including analog-spacetime proposals. However, establishing their…

Mesoscale and Nanoscale Physics · Physics 2026-04-01 Yunhyeon Jeong , Akinori Kamiyama , John N. Moore , Takaaki Mano , Ken-ichi Sasaki , Yuuki Sugiyama , Tokiro Numasawa , Masahiro Hotta , Go Yusa

The article demonstrates the nontrivial manifestation of quantum shell effects in a compressed mesoscopic system. It is shown that there are two spatial scales in the distribution of degenerate electrons in a spherical well. The first scale…

Plasma Physics · Physics 2019-03-27 S. E. Kuratov , D. S. Shidlovski , S. I. Blinnikov
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