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Related papers: Landau Levels in Strained Optical Lattices

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Landau level spectroscopy plays an important role in modern condensed-matter physics. In this technique, electrons in a solid are subjected to quantizing magnetic fields and probed experimentally, often through optical methods. Direct and…

Materials Science · Physics 2026-05-12 Ana Akrap , Milan Orlita

Interactions in Landau levels can stabilize new phases of matter, such as fractionally quantized Hall states. Numerical studies of these systems mostly require compact manifolds like the sphere or a torus. For massive dispersions, a…

Strongly Correlated Electrons · Physics 2018-07-20 Martin Greiter , Ronny Thomale

One of the intriguing characteristics of honeycomb lattices is the appearance of a pseudo-magnetic field as a result of mechanical deformation. In the case of graphene, the Landau quantization resulting from this pseudo-magnetic field has…

We describe a simple scheme by which "optical flux lattices" can be implemented in ultracold atomic gases using two-photon dressed states. This scheme can be applied, for example, to the ground state hyperfine levels of commonly used atomic…

Quantum Gases · Physics 2011-09-09 Nigel R. Cooper , Jean Dalibard

We show that, when graphene is subjected to an appropriate one-dimensional external periodic potential, additional branches of massless fermions are generated with nearly the same electron-hole crossing energy as that at the original Dirac…

Mesoscale and Nanoscale Physics · Physics 2009-07-24 Cheol-Hwan Park , Young-Woo Son , Li Yang , Marvin L. Cohen , Steven G. Louie

In this report we summarize a recent progress in exploration of correlated two-dimensional electron states in partially filled high Landau levels. At a mean-field Hartree-Fock level they can be described as charge-density waves, either…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Michael M. Fogler

A connection of a variety of tight-binding models of noninteracting electrons on a rectangular lattice in a magnetic field with theta functions is established. A new spectrum generating symmetry is discovered which essentialy reduces the…

High Energy Physics - Theory · Physics 2008-02-03 Alexander Moroz

Landau level quantization in graphene reflects the Dirac nature of its quasiparticles and has been found to exhibit an unusual integer quantum Hall effect. In particular the lowest Landau level can be thought as shared equally by electrons…

Mesoscale and Nanoscale Physics · Physics 2007-05-28 V. P. Gusynin , S. G. Sharapov , J. P. Carbotte

Shaking a lattice system, by modulating the location of its sites periodically in time, is a powerful method to create effective magnetic fields in engineered quantum systems, such as cold gases trapped in optical lattices. However, such…

Quantum Gases · Physics 2016-09-08 C. E. Creffield , G. Pieplow , F. Sols , N. Goldman

We present magneto-Raman spectroscopy measurements on suspended graphene to investigate the charge carrier density-dependent electron-electron interaction in the presence of Landau levels. Utilizing gate-tunable magneto-phonon resonances,…

Mesoscale and Nanoscale Physics · Physics 2021-03-25 J. Sonntag , S. Reichardt , L. Wirtz , B. Beschoten , M. I. Katsnelson , F. Libisch , C. Stampfer

We study the density of states and localization properties of the lowest Landau levels of graphene at high magnetic fields. We focus on the effects caused by correlated long-range hopping disorder, which, in exfoliated graphene, is induced…

Mesoscale and Nanoscale Physics · Physics 2011-10-06 A. L. C. Pereira , C. H. Lewenkopf , E. R. Mucciolo

We show the emergence of a new type of dispersion relation for neutral atoms with an interesting similarity with the spectrum of 2-dimensional electrons in an applied perpendicular constant magnetic field. These neutral atoms can be…

Quantum Physics · Physics 2016-06-29 Saikat Banerjee , Hans Ågren , Alexander V. Balatsky

It is known that in two-dimensional relativistic Dirac systems placed in orthogonal uniform magnetic and electric fields, the Landau levels collapse as the applied in-plane electric field reaches a critical value $\pm E_c$. We study this…

Mesoscale and Nanoscale Physics · Physics 2022-08-04 I. O. Nimyi , V. Könye , S. G. Sharapov , V. P. Gusynin

A two-dimensional periodic array of scatterers has been introduced to a single layer of graphene in the presence of an external magnetic field perpendicular to the graphene layer. The eigenvalue equation for such a system has been solved…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Godfrey Gumbs , Andrii Iurov , Danhong Huang , Paula Fekete , Liubov Zhemchuzhna

The realization of synthetic gauge fields for charge neutral ultracold atoms and the simulation of quantum Hall physics has witnessed remarkable experimental progress. Here, we establish key signatures of fractional quantum Hall systems in…

Quantum Gases · Physics 2025-06-17 Caterina Zerba , Alexander Seidel , Frank Pollmann , Michael Knap

The occurrence of Landau levels in quantum mechanics when a charged particle is subjected to a uniform magnetic field is well known. Considering the recent interest in the electronic properties of graphene, which admits a dispersion…

Mesoscale and Nanoscale Physics · Physics 2025-09-18 Aritra Ghosh

We explore Andreev states at the interface of graphene and a superconductor for a uniform pseudo-magnetic field. Near the zeroth-pseudo Landau level, we find a topological transition as a function of applied Zeeman field, at which a gapless…

Superconductivity · Physics 2021-03-31 Daniel Sabsovich , Marc W. Bockrath , Kirill Shtengel , Eran Sela

We investigate the ground state properties of ultracold atoms trapped in a two-leg ladder potential in the presence of an artificial magnetic field in a staggered configuration. We focus on the strongly interacting regime and use the Landau…

Quantum Gases · Physics 2018-12-12 Rashi Sachdeva , Friederike Metz , Manpreet Singh , Tapan Mishra , Thomas Busch

A properly strained graphene monolayer or bilayer is expected to harbour periodic pseudo-magnetic fields with high symmetry, yet to date, a convincing demonstration of such pseudo-magnetic fields has been lacking, especially for bilayer…

In a magnetic field bilayer graphene supports an octet of zero-energy Landau levels with an extra twofold degeneracy in Landau orbitals n=0 and n=1. It is shown that this orbital degeneracy is lifted due to Coulombic quantum fluctuations of…

Mesoscale and Nanoscale Physics · Physics 2012-10-25 K. Shizuya
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