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Quantum geometry, which describes the geometry of Bloch wavefunctions in solids, has become a cornerstone of modern quantum condensed matter physics. The quantum geometrical tensor encodes this geometry through two fundamental components:…

Strongly Correlated Electrons · Physics 2025-08-04 Anyuan Gao , Naoto Nagaosa , Ni Ni , Su-Yang Xu

The influence of an electron-vibrational coupling on the laser control of electron transport through a molecular wire that is attached to several electronic leads is investigated. These molecular vibrational modes induce an effective…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Jörg Lehmann , Sigmund Kohler , Volkhard May , Peter Hänggi

The low-field quantum Hall effect is investigated on a two-dimensional electron system in an AlGaAs/GaAs heterostructure. Magneto-oscillations following the semiclassical Shubnikov-de Haas formula are observed even when the emergence of the…

Disordered Systems and Neural Networks · Physics 2015-05-13 D. R. Hang , C. F. Huang , K. A. Cheng

Quantum mechanics is sensitive to the geometry of the underlying space. Here, we present a framework for quantum scattering of a non-relativistic particle confined to a two-dimensional space. When the motion manifold hosts localized…

Quantum Physics · Physics 2024-02-19 Lars Meschede , Benjamin Schwager , Dominik Schulz , Jamal Berakdar

Motivated by a recent application of quantum graphs to model the anomalous Hall effect we discuss quantum graphs the vertices of which exhibit a preferred orientation. We describe an example of such a vertex coupling and analyze the…

Mathematical Physics · Physics 2019-12-10 Pavel Exner , Milos Tater

We discover a new topological excitation of two dimensional electrons in the quantum Hall regime. The strain dependence of resistivity is shown to change sign upon crossing filling-factor-specified boundaries of reentrant integer quantum…

Mesoscale and Nanoscale Physics · Physics 2013-11-14 Tzu-ging Lin , George Simion , John D. Watson , Michael J. Manfra , Gabor A. Csathy , Yuli Lyanda-Geller , Leonid P. Rokhinson

Quantum geometry, a quantum mechanical quantity comprised of Berry curvature and quantum metric, describes the geometric structure of the electronic bands in solids. The correlation between nontrivial quantum geometry and quantum materials…

The wave nature of electrons in low-dimensional structures manifests itself in conventional electrical measurements as a quantum correction to the classical conductance. This correction comes from the interference of scattered electrons…

Mesoscale and Nanoscale Physics · Physics 2009-03-27 F. V. Tikhonenko , A. A. Kozikov , A. K. Savchenko , R. V. Gorbachev

The presence of geometric phases is known to affect the dynamics of the systems involved. Here we consider a quantum degree of freedom, moving in a dissipative environment, whose dynamics is described by a Langevin equation with quantum…

Mesoscale and Nanoscale Physics · Physics 2015-05-06 Alexander Shnirman , Yuval Gefen , Arijit Saha , Igor S. Burmistrov , Mikhail N. Kiselev , Alexander Altland

The quantum nonlinear dimer consisting of an electron shuttling between the two sites and in weak interaction with vibrations, is studied numerically under the application of a DC electric field. A field-induced resonance phenomenon between…

Other Condensed Matter · Physics 2011-11-04 M. Tiwari , D. V. Seletskiy , V. M. Kenkre

The $\nu=\frac{5}{2}$ fractional quantum Hall effect is of experimental and theoretical interest due to the possible non-Abelian statistics of the excitations in the electron liquid. A small voltage difference across a sample applied in…

Mesoscale and Nanoscale Physics · Physics 2017-04-05 Anthony Tylan-Tyler , Yuli Lyanda-Geller

Electron energy loss spectroscopy is consolidating as a powerful tool to explore electronic (as well as vibrational) excitations of matter, including molecules. Performed in a scanning transmission electron microscope, this technique is…

Chemical Physics · Physics 2021-03-05 Ciro A. Guido , Enzo Rotunno , Matteo Zanfrognini , Stefano Corni , Vincenzo Grillo

The electronic structure of heavy elements, when described in a space-time which the metric is affected by the electromagnetic interaction, presents instabilities. These instabilities increase with the atomic number, and above a critical…

General Physics · Physics 2007-05-23 C. C. Barros

Effect of dc electric field on transport of highly mobile 2D electrons is studied in wide GaAs single quantum wells placed in titled magnetic fields. The study shows that in perpendicular magnetic field resistance oscillates due to electric…

Mesoscale and Nanoscale Physics · Physics 2016-07-06 William Mayer , Sergey Vitkalov , A. A. Bykov

The electric field gradients (EFGs) at the (non-spherical) nucleus contribute to atomic and molecular hyperfine structure and govern Nuclear Quadrupole Resonance (NQR) and M\"ossbauer spectra. EFGs provide a highly sensitive probe of local…

The integer quantum Hall effect is analysed using a transport mechanism with a semi-classic wave packages of electrons in this paper. A strong magnetic field perpendicular to a slab separates the electron current into two branches with…

General Physics · Physics 2016-09-21 W. LiMing , Tan Hui

The article presents the result of an extended in silico experiment on computational vibrational spectroscopy of graphene molecules performed using the virtual vibrational spectrometer UHF VVS, previously proposed in the first part of the…

Materials Science · Physics 2020-08-26 Elena F. Sheka , Nadezhda A. Popova

According to the Schiff theorem, the atomic electrons completely screen the atomic nucleus from an external static electric field. However, this is not the case if the field is time-dependent. Electronic orbitals in atoms either shield the…

Atomic Physics · Physics 2019-01-30 H. B. Tran Tan , V. V. Flambaum , I. B. Samsonov

We explore how quantum gravity effects, manifested through the breaking of discrete symmetry responsible for both Dark Matter and Domain Walls, can have observational effects through CMB observations and gravitational waves. To illustrate…

High Energy Physics - Phenomenology · Physics 2023-11-22 Stephen F. King , Rishav Roshan , Xin Wang , Graham White , Masahito Yamazaki

The electron energy-loss function of graphite is studied for momentum transfers q beyond the first Brillouin zone. We find that near Bragg reflections the spectra can change drastically for very small variations in q. The effect is…

Materials Science · Physics 2010-04-30 R. Hambach , C. Giorgetti , N. Hiraoka , Y. Q. Cai , F. Sottile , A. G. Marinopoulos , F. Bechstedt , Lucia Reining