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Experiments on a nearly spin degenerate two-dimensional electron system reveals unusual hysteretic and relaxational transport in the fractional quantum Hall effect regime. The transition between the spin-polarized (with fill fraction $\nu =…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 J. Eom , H. Cho , W. Kang , K. L. Campman , A. C. Gossard , M. Bichler , W. Wegscheider

We consider stripe formation in quantum Hall systems at integer filling factors. We use Hartree-Fock calculations to obtain the phase diagram of bilayer quantum Hall systems at $\nu=4n+1$ in a tilted magnetic field. We derive and analyze an…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Eugene Demler , Daw-Wei Wang , S. Das Sarma , B. I. Halperin

Two-dimensional quantum materials can host original electronic phases that arise from the interplay of electronic correlations, symmetry and topology. In particular, the spontaneous breaking of internal symmetry that acts simultaneously on…

We probe quantum oscillations in nodal line semimetals (NLSM) by considering a NLSM continuum model under strong magnetic field and report the characteristics of the Landau level spectra and the fluctuations in the Fermi level as the field…

Strongly Correlated Electrons · Physics 2021-11-04 Satyaki Kar , Anupam Saha

We investigate the phase diagram of S=1 quantum spin systems with SU(2)-invariant interactions, at low temperatures and in three spatial dimensions. Symmetry breaking and the nature of pure states can be studied using random loop…

Statistical Mechanics · Physics 2015-04-24 Daniel Ueltschi

The interaction between electrons in graphene under high magnetic fields drives the formation of a rich set of quantum Hall ferromagnetic phases (QHFM), with broken spin or valley symmetry. Visualizing atomic scale electronic wavefunctions…

Mesoscale and Nanoscale Physics · Physics 2022-02-02 Xiaomeng Liu , Gelareh Farahi , Cheng-Li Chiu , Zlatko Papic , Kenji Watanabe , Takashi Taniguchi , Michael P. Zaletel , Ali Yazdani

We report the observation of developing fractional quantum Hall states at Landau level filling factors $\nu = 1/2$ and 1/4 in electron systems confined to wide GaAs quantum wells with significantly $asymmetric$ charge distributions. The…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 J. Shabani , T. Gokmen , Y. T. Chiu , M. Shayegan

We present a particle-hole symmetric theory for a two-dimensional electron gas at filling factor one half. In this theory, elementary excitations are dipole-like fermions floating on top of the $\nu=1/2$ boson quantum Hall liquid. In the…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 Dung-Hai Lee

Unconventional features of relativistic Dirac/Weyl quasi-particles in topological materials are most evidently manifested in the 2D quantum Hall effect (QHE), whose variety is further enriched by their spin and/or valley polarization.…

We study quantum Hall ferromagnets in the presence of a random electrostatic impurity potential. Describing these systems with a classical non-linear sigma model and using analytical estimates supported by results from numerical…

Mesoscale and Nanoscale Physics · Physics 2011-08-05 S. Rapsch , J. T. Chalker , D. K. K. Lee

Coulomb effects on the edge states of a two dimensional electron gas in the presence of a high magnetic field are studied for different widths of the boundaries. Schr\"odinger and Poisson equations are selfconsistently solved in the integer…

Condensed Matter · Physics 2009-10-22 L. Brey , J. J. Palacios , C. Tejedor

We study quantum Hall ferromagnets in the presence of a random electrostatic impurity potential, within the framework of a classical non-linear sigma model. We discuss the behaviour of the system using a heuristic picture for the…

Strongly Correlated Electrons · Physics 2010-02-25 D. K. K. Lee , S. Rapsch , J. T. Chalker

Magneto-transport measurements in a wide GaAs quantum well in which we can tune the Fermi energy ($E_F$) to lie in different Landau levels of the two occupied electric subbands reveal a remarkable pattern for the appearance and…

Strongly Correlated Electrons · Physics 2012-03-06 Yang Liu , Javad Shabani , Mansour Shayegan

A coherent superposition of many nuclear spin states can be prepared and manipulated via the hyperfine interaction with the electronic spins by varying the Landau level filling factor through the gate voltage in appropriately designed…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 T. Maniv , Yu. A. Bychkov , I. D. Vagner

We compare quantum Hall systems at filling factor 2 to those at filling factors 2/3 and 2/5, corresponding to the exact filling of two lowest electron or composite fermion (CF) Landau levels. The two fractional states are examples of CF…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 K. Vyborny , O. Certik , D. Pfannkuche , D. Wodzinski , A. Wojs , J. J. Quinn

The fractional quantum Hall states are non-Fermi liquids of electrons, in that their ground states and low energy excitations are described not in terms of electrons but in terms of composite fermions which are bound states of electrons and…

Strongly Correlated Electrons · Physics 2024-06-24 Mytraya Gattu , G. J. Sreejith , J. K. Jain

We discuss the behaviour of a quantum Hall system when two Landau levels with opposite spin and combined filling factor near unity are brought into energetic coincidence using an in-plane component of magnetic field. We focus on the…

Mesoscale and Nanoscale Physics · Physics 2011-08-05 J. T. Chalker , D. G. Polyakov , F. Evers , A. D. Mirlin , P. Woelfle

One of the most spectacular experimental findings in the fractional quantum Hall effect is evidence for an emergent Fermi surface when the electron density is nearly half the density of magnetic flux quanta ($\nu = 1/2$). The seminal work…

Strongly Correlated Electrons · Physics 2016-04-14 Scott D. Geraedts , Michael P. Zaletel , Roger S. K. Mong , Max A. Metlitski , Ashvin Vishwanath , Olexei I. Motrunich

Materials hosting topologically protected non-Abelian zero modes offer the exciting possibility of storing and manipulating quantum information in a manner that is protected from decoherence at the hardware level. In this work, we study the…

Strongly Correlated Electrons · Physics 2023-04-12 Kartiek Agarwal

Broken symmetry ground states with uniform electron density are common in quantum Hall systems when two Landau levels simultaneously approach the chemical potential at integer filling factor $\nu$. The close analogy between these…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 T. Jungwirth , A. H. MacDonald