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We theoretically study the electronic band structure and the Hall effect in the negatively-curved three-dimensional (3D) graphene network in magnetic fields. We found that special energy regions appear above and below the zero-energy Landau…

Mesoscale and Nanoscale Physics · Physics 2019-03-06 Toshiki Kiryu , Mikito Koshino

We investigate the 3D quantum Hall effect in Weyl semimetals and elucidate a global picture of the edge states. The edge states hosting 3D quantum Hall effect are combinations of Fermi arcs and chiral bulk Landau levels parallel to the…

Mesoscale and Nanoscale Physics · Physics 2020-07-17 Hailong Li , Haiwen Liu , Hua Jiang , X. C. Xie

When electrons moving in two-dimensions (2D) are subjected to a strong uniform magnetic field, they form flat bands called Landau levels, which are the basis for the quantum Hall effect. Landau levels can also arise from pseudomagnetic…

Mesoscale and Nanoscale Physics · Physics 2025-05-14 Zheyu Cheng , Yi-jun Guan , Haoran Xue , Yong Ge , Ding Jia , Yang Long , Shou-qi Yuan , Hong-xiang Sun , Yidong Chong , Baile Zhang

A quantized Hall conductance (not conductivity) in three dimensions has been searched for more than 30 years. Here we explore it in 3D topological nodal-line semimetals, by using a model capable of describing all essential physics of a…

Mesoscale and Nanoscale Physics · Physics 2024-01-30 Guang-Qi Zhao , W. B. Rui , C. M. Wang , Hai-Zhou Lu , X. C. Xie

We investigate a gapped two-dimensional nodal-line semimetal subjected to a perpendicular magnetic field. We identify an unusual pattern for Landau levels, where the energy of Landau levels first decreases and then starts increasing versus…

Mesoscale and Nanoscale Physics · Physics 2025-07-15 Shahin Barati , Hamid Rahimpoor , Saeed H. Abedinpour

The recent discovery of the 3D quantum Hall effect in $\mathrm{HfTe_5}$ has also revealed puzzling signatures of possible 3D fractionalization. Beyond the first plateau associated with the lowest Landau band, Hall conductivity exhibits a…

Mesoscale and Nanoscale Physics · Physics 2026-05-05 Jun-Hong Li , Yi-Yuan Chen , Peng-Lu Zhao , Hai-Zhou Lu , X. C. Xie

Photocurrent acts as one of measurable responses of material to light, which has proved itself to be crucial for sensing and energy harvesting. Topological semimetals with gapless energy dispersion and abundant topological surface and bulk…

Mesoscale and Nanoscale Physics · Physics 2023-04-21 Po-Hsin Shih , Thi-Nga Do , Godfrey Gumbs , Danhong Huang , Hsin Lin , Tay-Rong Chang

Nodal line semimetals (NLSM) exhibit interesting quantum oscillation characteristics when acted upon by a strong magnetic field. We study the combined effect of strong direct (dc) and alternating (ac) magnetic field, perpendicular to the…

Strongly Correlated Electrons · Physics 2021-05-20 Satyaki Kar

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 an unconventional quantum Hall effect for the surface states of ultrathin Floquet topological insulators in a perpendicular magnetic field. The resulting band structure is modified by photon dressing and the topological property is…

Mesoscale and Nanoscale Physics · Physics 2016-08-24 M. Tahir , P. Vasilopoulos , U. Schwingenschlog

Nodal lines, as one-dimensional band degeneracies in momentum space, usually feature a linear energy splitting. Here, we propose the concept of magnetic higher-order nodal lines, which are nodal lines with higher-order energy splitting and…

Mesoscale and Nanoscale Physics · Physics 2021-05-19 Zeying Zhang , Zhi-Ming Yu , Shengyuan A. Yang

We study the fractional quantum Hall effect in three dimensional systems consisting of infinitely many stacked two dimensional electron gases placed in transverse magnetic fields. This limit introduces new features into the bulk physics…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. D. Naud , Leonid P. Pryadko , S. L. Sondhi

The quantum Hall effect is usually observed in 2D systems. We show that the Fermi arcs can give rise to a distinctive 3D quantum Hall effect in topological semimetals. Because of the topological constraint, the Fermi arc at a single surface…

Mesoscale and Nanoscale Physics · Physics 2017-10-05 C. M. Wang , Hai-Peng Sun , Hai-Zhou Lu , X. C. Xie

We study the influence of step defect on surface states in three-dimensional topological insulators subject to a perpendicular magnetic field. By calculating the energy spectrum of the surface states, we find that Landau levels (LLs) can…

Mesoscale and Nanoscale Physics · Physics 2018-04-06 Yan-Feng Zhou , Ai-Min Guo , Qing-Feng Sun

The recent experimental observations of the quantum Hall effect in 3D topological semimetals have attracted great attention, but there are still debates on its origin. We systematically study the dependence of the quantum Hall effect in…

Mesoscale and Nanoscale Physics · Physics 2021-09-15 Rui Chen , C. M. Wang , Tianyu Liu , Hai-Zhou Lu , X. C. Xie

When a three-dimensional (3D) ferromagnetic topological insulator thin film is magnetized out-of-plane, conduction ideally occurs through dissipationless, one-dimensional (1D) chiral states that are characterized by a quantized, zero-field…

Mesoscale and Nanoscale Physics · Physics 2015-07-13 A. Kandala , A. Richardella , S. Kempinger , C-X. Liu , N. Samarth

We theoretically studied the quasiparticle transport in a 2D electron gas biased in the quantum Hall regime and in the presence of a lateral potential barrier. The lateral junction hosts the specific magnetic field dependent quasiparticle…

Mesoscale and Nanoscale Physics · Physics 2017-04-28 A. M. Kadigrobov , M. V. Fistul

Exploration of the novel relationship between magnetic order and topological semimetals has received enormous interest in a wide range of both fundamental and applied research. Here we predict that soft ferromagnetic (FM) material EuB6 can…

Materials Science · Physics 2020-02-26 Simin Nie , Yan Sun , Fritz B. Prinz , Zhijun Wang , Hongming Weng , Zhong Fang , Xi Dai

Two-dimensional systems in magnetic fields host rich physics, most notably the quantum Hall effect arising from Landau level quantization. In a broad class of two-dimensional models, flat bands with topologically nontrivial band…

Mesoscale and Nanoscale Physics · Physics 2025-09-26 Soujanya Datta , Krishanu Roychowdhury

We study the quantum Hall effect of 2D electron gas in black phosphorus in the presence of perpendicular electric and magnetic fields. In the absence of a bias voltage, the external magnetic field leads to a quantization of the energy…

Mesoscale and Nanoscale Physics · Physics 2016-06-29 Shengjun Yuan , Edo van Veen , Mikhail I. Katsnelson , Rafael Roldán
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