Quantum oscillations as the tool for study of new functional materials (Review Article)

Abstract

We present an overview of our recent results on quantum magnetic oscillations in new functional materials. We begin with the Lifshitz and Kosevich approach for quasi-2D layered materials and obtain general formulas for the oscillatory parts of the grand thermodynamic potential and magnetization. Then we consider the oscillations of the Nernst-Ettingshausen coefficient which consists of thermal and magnetization parts. The difference between normal and Dirac carriers is also discussed. To conclude we consider a model for multilayer graphene which allows to calculate exactly the Berry phase which remains undetermined in the Lifshitz-Kosevich approach. The magnetic oscillations of the density of states and capacitance for different number of the carbon layers are described.

Density of states of Dirac–Landau levels in a gapped graphene monolayer under strain gradient

“…However, the full DOS can also be experimentally found by measuring the quantum capacitance [27] which is proportional to the thermally smeared DOS. The corresponding convolution with a Fermi distribution is easily expressed in terms of the digamma function [30], so that the presented here results can be easily applied for this case.…”

Quadrature Squeezing and Geometric-Phase Oscillations in Nano-Optics

“…Geometric-phase oscillations [39,40], as well as the Aharonov-Bohm oscillations [41,42] and the de Haas-van Alphen oscillations [43], are novel physical phenomena which merit great interest in the field of quantum physics and chemistry [44]. As a matter of fact, for a system of a single-molecule magnet that is strongly coupled to metallic leads, one can generate/quench the Kondo resonance by means of the interference that takes place via the geometric-phase oscillation [39].…”

Поперечный Эффект Нернста-Эттингсгаузена В Сверхрешетках При Электрон-Фононном Рассеянии

“…Сильное увеличение сигнала Нернста было обнаружено в графене в квантующем магнитном поле [1][2][3]. Осцилляции коэффициента НЭ в сильных магнитных полях для двумерного и квазидвумерного электронного газа с параболическим, линейным и синусоидальным законом дисперсии носителей тока изучались в работах [4][5][6][7][8][9]. Смена знака коэффициента НЭ в сильных магнитных полях в двумерных системах наблюдалась в [2].…”