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The interplay between quantum Hall ordering and spontaneously broken "internal" symmetries in two-dimensional electron systems with spin or pseudospin degrees of freedom gives rise to a variety of interesting phenomena, including novel…

Mesoscale and Nanoscale Physics · Physics 2010-07-22 D. A. Abanin , S. A. Parameswaran , S. A. Kivelson , S. L. Sondhi

Transport measurements on two dimensional electron systems in moderate magnetic fields suggest the existence of a spontaneously orientationally-ordered, compressible liquid state. We develop and analyze a microscopic theory of such a…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Leo Radzihovsky , Alan T. Dorsey

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…

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

Two-dimensional electron gases in strong magnetic fields provide a canonical platform for realizing a variety of electronic ordering phenomena. Here we review the physics of one intriguing class of interaction-driven quantum Hall states:…

Strongly Correlated Electrons · Physics 2021-05-25 S. A. Parameswaran , B. E. Feldman

Symmetry and topology play key roles in the identification of phases of matter and their properties. Both concepts are central to understanding quantum Hall ferromagnets (QHFMs), two-dimensional electronic phases with spontaneously broken…

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

Nematic quantum fluids with wavefunctions that break the underlying crystalline symmetry can form in interacting electronic systems. We examine the quantum Hall states that arise in high magnetic fields from anisotropic hole pockets on the…

Mesoscale and Nanoscale Physics · Physics 2016-10-26 Benjamin E. Feldman , Mallika T. Randeria , András Gyenis , Fengcheng Wu , Huiwen Ji , R. J. Cava , Allan H. MacDonald , Ali Yazdani

In multivalley systems, the valley pseudospin offers rich physics going from encoding of information by its polarization (valleytronics), to exploring novel phases of matter when its degeneracy is changed. Here, by strain engineering, we…

In a graphene Landau level (LL), strong Coulomb interactions and the fourfold spin/valley degeneracy lead to an approximate SU(4) isospin symmetry. At partial filling, exchange interactions can spontaneously break this symmetry, manifesting…

Charge-neutral graphene in the quantum Hall regime is an example of a quantum Hall ferromagnet in a complex spin-valley space. This system exhibits a plethora of phases, with the particular spin-valley order parameters chosen by the system…

Mesoscale and Nanoscale Physics · Physics 2025-05-21 Jincheng An , Ganpathy Murthy

By the method of intense terahertz laser spectroscopy, we provide strong evidence that if an integer quantum Hall (IQH) system has asymmetric confining potential and the external quantizing magnetic field has a nonzero in-plane component,…

Mesoscale and Nanoscale Physics · Physics 2021-06-22 Sergey A. Emelyanov

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

Novel broken symmetry states can spontaneously form due to Coulomb interactions in electronic systems with multiple internal degrees of freedom. Multi-valley materials offer an especially rich setting for the emergence of such states, which…

Mesoscale and Nanoscale Physics · Physics 2018-05-15 Mallika T. Randeria , Benjamin E. Feldman , Fengcheng Wu , Hao Ding , Andras Gyenis , Huiwen Ji , R. J. Cava , Allan H. MacDonald , Ali Yazdani

We study broken symmetry states at integer Landau level fillings in multivalley quantum Hall systems whose low energy dispersions are anisotropic. When the Fermi surface of individual pockets lacks twofold rotational symmetry, like in…

Strongly Correlated Electrons · Physics 2017-12-29 Inti Sodemann , Zheng Zhu , Liang Fu

Fractional quantum Hall (FQH) system at Landau level filling fraction $\nu=5/2$ has long been suggested to be non-Abelian, either Pfaffian (Pf) or antiPfaffian (APf) states by numerical studies, both with quantized Hall conductance…

Mesoscale and Nanoscale Physics · Physics 2018-04-18 Biao Lian , Juven Wang

We construct a low energy effective theory of anisotropic fractional quantum Hall (FQH) states. We develop a formalism similar to that used in the bi-metric approach to massive gravity, and apply it to describe abelian anisotropic FQH…

Strongly Correlated Electrons · Physics 2017-11-29 Andrey Gromov , Scott D. Geraedts , Barry Bradlyn

We demonstrate the emergence of the quantum Hall (QH) hierarchy in a 2D model of coupled quantum wires in a perpendicular magnetic field. At commensurate values of the magnetic field, the system can develop instabilities to appropriate…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 C. L. Kane , Ranjan Mukhopadhyay , T. C. Lubensky

The single-particle energy spectrum of a two-dimensional electron gas in a perpendicular magnetic field consists of equally-spaced spin-split Landau levels, whose degeneracy is proportional to the magnetic field strength. At integer and…

We investigate spin and valley symmetry-broken fractional quantum Hall phases within a formalism that naturally extends the paradigm of quantum Hall ferromagnetism from integer to fractional quantum Hall states, allowing us to construct…

Mesoscale and Nanoscale Physics · Physics 2022-05-23 Suraj S. Hegde , Inti Sodemann Villadiego
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