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In metals, electrons in a magnetic field undergo cyclotron motion, leading to oscillations in physical properties called quantum oscillations. This phenomenon has never been seen in a robust insulator because there are no mobile electrons.…

The de Haas-van Alphen effect (dHvAe), describing oscillations of the magnetization as a function of magnetic field, is commonly assumed to be a definite sign for the presence of a Fermi surface (FS). Indeed, the effect forms the basis of a…

Strongly Correlated Electrons · Physics 2015-10-05 Johannes Knolle , Nigel R. Cooper

In strongly correlated materials, quasiparticle excitations can carry fractional quantum numbers. An intriguing possibility is the formation of fractionalized, charge-neutral fermions, e.g., spinons and fermionic excitons, that result in…

Magnetic oscillations in strongly correlated insulating systems have garnered interest due to oscillations seemingly originating from the bulk, despite an anticipated gapped spectrum. We use the large-$N$ mean-field theory to study the…

Strongly Correlated Electrons · Physics 2026-02-04 Kaize Wang , Yang Ge , Yashar Komijani

The electronic specific heat of Kondo insulators in magnetic field is studied for the half-filled Kondo lattice model on simple cubic lattice using a low-temperature theory in Kumar representation. The calculated specific heat is found to…

Strongly Correlated Electrons · Physics 2025-02-07 Arnav Pushkar , Brijesh Kumar

The canonical understanding of quantum oscillation in metals is challenged by the observation of de Haas-van Alphen effect in an insulator, SmB$_{6}$ [Tan \emph{et al}, Science {\bf349}, 287 (2015)]. Based on a two-band model with inverted…

Strongly Correlated Electrons · Physics 2016-02-02 Long Zhang , Xue-Yang Song , Fa Wang

Quantum oscillations in magnetization or resistivity are a defining feature of metals subject to an external magnetic field. The phenomenon is generally not expected in insulators without a Fermi surface. The observations of quantum…

Mesoscale and Nanoscale Physics · Physics 2025-01-30 Phuong X. Nguyen , Raghav Chaturvedi , Bo Zou , Kenji Watanabe , Takashi Taniguchi , Allan H. MacDonald , Kin Fai Mak , Jie Shan

Quantum oscillations have long been regarded as the manifestation of the Fermi surface in metals. However, they were recently observed in Kondo insulators. We examine the Kondo screening due to Landau levels in Kondo insulators. It is shown…

Strongly Correlated Electrons · Physics 2020-03-18 Yen-Wen Lu , Po-Hao Chou , Chung-Hou Chung , Ting-Kuo Lee , Chung-Yu Mou

We theoretically study a model of excitonic insulators which show de Haas-van Alphen oscillations as well as periodic dependence of the magnetization on inverse temperature. The insulating behavior is due to the Coulomb interaction driven…

Strongly Correlated Electrons · Physics 2024-07-29 Vladimir A. Zyuzin

The Kondo lattice model of spin-1/2 local moments coupled to the conduction electrons at half-filling is studied for its orbital response to magnetic field on bipartite lattices. Through an effective charge dynamics, in a canonical…

Strongly Correlated Electrons · Physics 2017-08-17 Panch Ram , Brijesh Kumar

The observation of $1/B$-periodic behavior in Kondo insulators SmB$_6$ and YbB$_{12}$ challenges the conventional wisdom that quantum oscillations (QO) necessarily arise from Fermi surfaces in metals. We revisit recently proposed theories…

Strongly Correlated Electrons · Physics 2022-10-21 Animesh Panda , Sumilan Banerjee , Mohit Randeria

Quantum oscillations are conventionally understood to arise from the Fermi level; hence, they are considered to be a proof of the existence of an underlying Fermi surface. In this article, we show that in certain situations quantum…

Mesoscale and Nanoscale Physics · Physics 2017-02-09 Hridis K. Pal

In recent years it has become understood that quantum oscillations of the magnetization as a function of magnetic field, long recognized as phenomena intrinsic to metals, can also manifest in insulating systems. Theory has shown that in…

Strongly Correlated Electrons · Physics 2022-04-20 Andrew A. Allocca , Nigel R. Cooper

We show that for a system of localized electrons in an impurity band, which form an Anderson insulating state at zero temperature, there can appear quantum oscillations of the magnetization, i.e. the Anderson insulator can exhibit the de…

Mesoscale and Nanoscale Physics · Physics 2023-09-27 N. R. Cooper , Jack Kelsall

We consider the angular momentum of a harmonically trapped, noninteracting Fermi gas subject to either rotation or to an artificial gauge field. The angular momentum of the gas is shown to display oscillations as a function of the particle…

Quantum Gases · Physics 2013-03-07 Charles Grenier , Corinna Kollath , Antoine Georges

In metals, orbital motions of conduction electrons on the Fermi surface are quantized in magnetic fields, which is manifested by quantum oscillations in electrical resistivity. This Landau quantization is generally absent in insulators.…

Strongly Correlated Electrons · Physics 2019-05-14 Z. Xiang , Y. Kasahara , T. Asaba , B. Lawson , C. Tinsman , Lu Chen , K. Sugimoto , S. Kawaguchi , Y. Sato , G. Li , S. Yao , Y. L. Chen , F. Iga , John Singleton , Y. Matsuda , Lu Li

It is generally believed that quantum oscillations are a hallmark of a Fermi surface and the oscillations constitute the ringing of it. Recently, it was understood that in order to have well defined quantum oscillations you do not only not…

Mesoscale and Nanoscale Physics · Physics 2018-03-21 Simonas Grubinskas , Lars Fritz

In strongly correlated quantum materials, electrons behave in ways that often extend beyond the confines of conventional Fermi-liquid theory. Interesting results include the observation of low-temperature metallic behavior in systems that…

Strongly Correlated Electrons · Physics 2024-05-20 Sanfeng Wu

The observation of quantum oscillations in topological Kondo insulators SmB6 and YbB12 is a recent puzzling experimental discovery. Quantum oscillations observed in the resistivity and the magnetization are usually explained by the…

Strongly Correlated Electrons · Physics 2019-08-15 Robert Peters , Tsuneya Yoshida , Norio Kawakami

We investigate magento-oscillations in the specific heat of non-relativistic fermions with a Fermi surface minimally coupled to a fluctuating U(1) gauge field. Our study is motivated by the recent observation of quantum oscillations in the…

Strongly Correlated Electrons · Physics 2010-07-28 Lars Fritz , Subir Sachdev
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