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Quantum shape effect appears under the size-invariant shape transformations of strongly confined structures. Such a transformation distinctively influences the thermodynamic properties of confined particles. Due to their characteristic…

Mesoscale and Nanoscale Physics · Physics 2022-11-08 Alhun Aydin , Jonas Fransson , Altug Sisman

When magnetic field $B$ is applied to a metal, nearly all observable quantities exhibit oscillations periodic in $1/B$. Such quantum oscillations reflect the fundamental reorganization of electron states into Landau levels as a canonical…

Mesoscale and Nanoscale Physics · Physics 2017-01-18 Tianyu Liu , D. I. Pikulin , M. Franz

Quantum oscillations offer a powerful probe for the geometry and topology of the Fermi surface in metals. Onsager's semiclassical quantization relation governs these periodic oscillations in 1/B, leading to a linear Landau fan diagram.…

Mesoscale and Nanoscale Physics · Physics 2024-03-07 Sunit Das , Suvankar Chakraverty , Amit Agarwal

Oscillations of dissipative resistance of two-dimensional electrons in GaAs quantum wells are observed in response to an electric current I and a strong magnetic field applied perpendicular to the two-dimensional systems. Period of the…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Scott Dietrich , Sean Byrnes , Sergey Vitkalov , D. V. Dmitriev , A. A. Bykov

We report on the magnetotransport properties of a prototype Mott insulator/band insulator perovskite heterojunction in magnetic fields up to 31 T and at temperatures between 360 mK and 10 K. Shubnikov-de Haas oscillations in the…

Recent quantum oscillation experiments on SmB$_6$ pose a paradox, for while the angular dependence of the oscillation frequencies suggest a 3D bulk Fermi surface, SmB$_6$ remains robustly insulating to very high magnetic fields. Moreover, a…

Strongly Correlated Electrons · Physics 2016-02-02 Onur Erten , Pouyan Ghaemi , Piers Coleman

In this work we present the results of theoretical analysis of magnetic quantum oscillations of the velocity and attenuation of high frequency ultrasound waves traveling in quasi-two-dimensional conductors. We chose a geometry where the…

Materials Science · Physics 2016-05-17 Natalya A. Zimbovskaya , Godfrey Gumbs

In this work, we use the thin-layer quantization procedure to study the physical implications due to curvature effects on a quantum dot in the presence of an external magnetic field. Among the various physical implications due to the…

Mesoscale and Nanoscale Physics · Physics 2019-11-25 Luis Fernando C. Pereira , Fabiano M. Andrade , Cleverson Filgueiras , Edilberto O. Silva

The Dirac oscillator in a homogenous magnetic field exhibits a chirality phase transition at a particular (critical) value of the magnetic field. Recently, this system has also been shown to be exactly solvable in the context of…

Statistical Mechanics · Physics 2020-04-21 Antonia M. Frassino , Dimitri Marinelli , Orlando Panella , Pinaki Roy

We study the zero-temperature phase diagram and fractional excitation when a thin film of 3D topological insulator has two competing masses: T- symmetric exciton condensation and T- breaking Zeeman effect. Two topologically distinct phases…

Strongly Correlated Electrons · Physics 2013-05-29 Gil Young Cho , Joel E. Moore

Quantum magnetic oscillations in crystals are typically understood in terms of Bohr-Sommerfeld quantisation, the frequency of oscillation is given by the area of a closed electron trajectory. However, since the 1970s, oscillations have been…

Mesoscale and Nanoscale Physics · Physics 2024-04-09 Z. E. Krix , O. A. Tkachenko , V. A. Tkachenko , D. Q. Wang , O. Klochan , A. R. Hamilton , O. P. Sushkov

Conventionally ordered magnets possess bosonic elementary excitations, called magnons. By contrast, no magnetic insulators in more than one dimension are known whose excitations are not bosons but fermions. Theoretically, some quantum spin…

Strongly Correlated Electrons · Physics 2016-07-06 J. Nasu , J. Knolle , D. L. Kovrizhin , Y. Motome , R. Moessner

Quantum magneto-oscillations provide a powerfull tool for quantifying Fermi-liquid parameters of metals. In particular, the quasiparticle effective mass and spin susceptibility are extracted from the experiment using the Lifshitz-Kosevich…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 G. W. Martin , D. L. Maslov , M. Yu. Reizer

Full quantum-mechanical description of electrons moving in 3D structures with unidirectional periodic modulation subject to tilted magnetic fields requires an extensive numerical calculation. To understand magneto-oscillations in such…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 N. A. Goncharuk , L. Smrcka , J. Kucera , K. Vyborny

The nature of the Fermi surface observed in the recently discovered family of unconventional insulators starting with SmB$_6$ and subsequently YbB$_{12}$ is a subject of intense inquiry. Here we shed light on this question by comparing…

The Mott-Ioffe-Regel limit sets the lower bound of carrier mean free path for coherent quasiparticle transport. Metallicity beyond this limit is of great interest because it is often closely related to quantum criticality and unconventional…

A general master equation is derived to describe an electromechanical single-dot transistor in the Coulomb blockade regime. In the equation, Fermi distribution functions in the two leads are taken into account, which allows one to study the…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Wenxi Lai , Yunshan Cao , Zhongshui Ma

The Feynman-Vernon path integral formalism is used to derive the density matrix of a quantum oscillator that is linearly coupled to an environmental reservoir. Although low-temperature reservoirs thermalize the oscillator to the usual…

General Physics · Physics 2014-12-15 George E. Cragg

de Haas-van Alphen oscillation spectrum of two-dimensional systems is studied for general power law energy dispersion, yielding a Fermi surface area of the form $S(E)\propto E^\alpha$ for a given energy $E$. The case $\alpha=1$ stands for…

Strongly Correlated Electrons · Physics 2017-04-26 Jean-Yves Fortin , Alain Audouard

The surface of an insulating material irradiated by a beam of low energy electrons charges positively if the yield of secondary electron is greater than unity. For such a dynamical equilibrium, the thermodynamic properties have been…

Materials Science · Physics 2009-11-11 F. Pesty , P. Garoche
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