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We study the interplay of particle-hole symmetry and fermion-vortex duality in multicomponent half-filled Landau levels, such as quantum Hall gallium arsenide bilayers and graphene. For the $\nu{=}1/2{+}1/2$ bilayer, we show that…

Strongly Correlated Electrons · Physics 2017-03-01 Inti Sodemann , Itamar Kimchi , Chong Wang , T. Senthil

Graphene, with its massless linearly-dispersing carriers, in the quantum Hall regime provides an instructive comparison with conventional two-dimensional (2D) systems in which carriers have a nonzero band mass and quadratic dispersion. We…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 C. -H. Zhang , Yogesh N. Joglekar

We analyse the low-energy physics of nearly ferromagnetic metals in two spatial dimensions using the functional renormalization group technique. We find a new low-energy fixed point, at which the fermionic (electron-like) excitations are…

Strongly Correlated Electrons · Physics 2015-06-09 Sam P. Ridgway , Chris A. Hooley

HgTe/HgCdTe quantum wells with the inverted band structure have been probed using far infrared magneto-spectroscopy. Realistic calculations of Landau level diagrams have been performed to identify the observed transitions. Investigations…

Mesoscale and Nanoscale Physics · Physics 2011-03-15 M. Orlita , K. Masztalerz , C. Faugeras , M. Potemski , E. G. Novik , C. Brüne , H. Buhmann , L. W. Molenkamp

The quantum Hall (QH) effect in two-dimensional (2D) electrons and holes in high quality graphene samples is studied in strong magnetic fields up to 45 T. QH plateaus at filling factors $\nu=0,\pm 1,\pm 4$ are discovered at magnetic fields…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Y. Zhang , Z. Jiang , J. P. Small , M. S. Purewal , Y. -W. Tan , M. Fazlollahi , J. D. Chudow , J. A. Jaszczak , H. L. Stormer , P. Kim

For three-dimensional metals, Landau levels disperse as a function of the magnetic field and the momentum wavenumber parallel to the field. In this two-dimensional parameter space, it is shown that two conically-dispersing Landau levels can…

Mesoscale and Nanoscale Physics · Physics 2020-10-05 Chong Wang , Zhongyi Zhang , Chen Fang , A. Alexandradinata

Elastic strain can displace the massless Dirac fermions in monolayer graphene in a space-dependent fashion, similar to the effect of an external magnetic field, thus giving rise to Landau quantization. We here show that the strain-induced…

Mesoscale and Nanoscale Physics · Physics 2024-10-30 Tianyu Liu , Jun-Hong Li , Xingchuan Zhu , Huaiming Guo , Hai-Zhou Lu , X. C. Xie

In this Letter, we study topological flat bands with distinct features that deviate from conventional Landau level behavior. We show that even in the ideal quantum geometry limit, moire flat band systems can exhibit physical phenomena…

Strongly Correlated Electrons · Physics 2025-11-27 Siddhartha Sarkar , Xiaohan Wan , Ang-Kun Wu , Shi-Zeng Lin , Kai Sun

The spectrum of charged particles in translation-invariant systems in a magnetic field is characterized by the Landau levels, which play a fundamental role in the thermodynamic and transport properties of solids. The topological nature and…

Mesoscale and Nanoscale Physics · Physics 2023-10-02 Isac Sahlberg , Moein N. Ivaki , Kim Pöyhönen , Teemu Ojanen

We study signatures of magnetic quantum oscillations in three-dimensional nodal line semimetals at zero temperature. The extended nature of the degenerate bands can result in a Fermi surface geometry with topological genus one, as well as a…

Mesoscale and Nanoscale Physics · Physics 2018-04-18 Hui Yang , Roderich Moessner , Lih-King Lim

We have investigated the fractional quantum Hall states for the Dirac electrons in a graphene layer in different Landau levels. The relativistic nature of the energy dispersion relation of the electrons in the graphene significantly…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Vadim M. Apalkov , Tapash Chakraborty

In topological semimetals, the valence band and conduction band meet at zero-dimensional nodal points or one-dimensional nodal rings, which are protected by band topology and symmetries. In this Rapid Communication, we introduce "nodal-link…

Strongly Correlated Electrons · Physics 2017-11-28 Zhongbo Yan , Ren Bi , Huitao Shen , Ling Lu , Shou-Cheng Zhang , Zhong Wang

Weyl semimetals display unusual electronic transport properties when placed under magnetic fields. Here, we investigate how magnetic fields alter the dynamics of long wavelength lattice vibrations in these materials. To that end, we develop…

Mesoscale and Nanoscale Physics · Physics 2019-04-03 Pierre Rinkel , Pedro L. S. Lopes , Ion Garate

Shot noise in the half-filled Landau level is studied within the composite-fermion picture, focusing on the diffusive regime. The composite fermions are assumed to form a Fermi liquid with nontrivial Fermi-liquid parameters. The…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Felix von Oppen

We present a set of explicit trial wavefunctions for the filling factors \nu=n/(2n\pm 1) and \nu=1/2 in the symmetric gauge. We show that the zeroes of the wavefunction, except those dictated by the Fermi statistics, are detached from the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Jung Hoon Han , S. -R. Eric Yang

We investigate the potential of the surface states of 3D nodal-line semimetals to produce surface and 3D quantized Hall effects in which the electronic currents flow unidirectionally along the surface of the material. This phenomenology is…

Mesoscale and Nanoscale Physics · Physics 2018-04-11 Rafael A. Molina , Jose Gonzalez

The possible quantum Hall ferromagnet at a filling factor $\nu =0$ is investigated for the zero-energy (N=0) Landau level of the two dimensional massless Dirac fermions in $\alpha$-(BEDT-TTF)$_2$I$_3$ under pressure with tilted cones and a…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Akito Kobayashi , Yoshikazu Suzumura , Hidetoshi Fukuyama , Mark O. Goerbig

We report on quantum capacitance measurements of high quality, graphite- and hexagonal boron nitride encapsulated Bernal stacked trilayer graphene devices. At zero applied magnetic field, we observe a number of electron density- and…

We report measurements of microwave spectra of two-dimensional electron systems hosted in dilute Al alloy, Al$_x$Ga$_{1-x}$As, for a range of Landau level fillings, $\nu$, around 1. For $\nu>0.8$ or $\nu<1.2$, the samples exhibit a…

Mesoscale and Nanoscale Physics · Physics 2014-12-03 B. -H. Moon , L. W. Engel , D. C. Tsui , L. N. Pfeiffer , K. W. West

In a recent experiment (Phys. Rev. Lett. {\bf 87}, 036903 (2001)), Spielman et al observed a linearly dispersing collective mode in quantum Hall ferromagnet. While it qualitatively agrees with the Goldstone mode dispersion at small wave…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Yue Yu
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