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We identify the leading processes of electron transport across finite-length segments of proximitized nanowires and build a quantitative theory of their two-terminal conductance. In the presence of spin-orbit interaction, a nanowire can be…

Mesoscale and Nanoscale Physics · Physics 2016-06-28 B. van Heck , R. M. Lutchyn , L. I. Glazman

Recently synthesized 3D materials with Dirac spectrum exhibit peculiar electric transport qualitatively different from its 2D analogue, graphene. Neglecting impuritiy scattering, the real part of the conductivity is strongly frequency…

Mesoscale and Nanoscale Physics · Physics 2017-03-08 B. Rosenstein , H. C. Kao , M. Lewkowicz

We calculate the optical conductivity, $\sigma(\omega)$, in the normal state fullerene superconductors by self-consistently including the impurity scatterings, the electron-phonon and electron-electron Coulomb interactions. The finite…

Strongly Correlated Electrons · Physics 2009-10-31 Jung-Woo Yoo , Han-Yong Choi

In the presence of an external magnetic field, the optical response of two-dimensional materials, whose charge carriers behave as massless Dirac fermions with arbitrary anisotropic Fermi velocity, is investigated. Using Kubo formalism, we…

Mesoscale and Nanoscale Physics · Physics 2017-07-27 Maurice Oliva-Leyva , Chumin Wang

The current in response to a bias in certain two-dimensional electron gas (2DEG), can have a nonzero transverse component under a finite magnetic field applied in the plane where electrons are confined. This phenomenon known as planar Hall…

Mesoscale and Nanoscale Physics · Physics 2021-06-30 Abhiram Soori

In recent years, there is an increasing interest in transport phenomena that are fundamentally linked to the presence of multiple bands. In this thesis, we develop, discuss, and apply a theory of the electrical conductivity that includes…

Strongly Correlated Electrons · Physics 2021-05-19 Johannes Mitscherling

We present a method, based on noncollinear second harmonic generation, to evaluate the non-zero elements of the nonlinear optical susceptibility. At a fixed incidence angle, the generated signal is investigated by varying the polarization…

We compute the nonlinear optical response of doped mono- and bilayer graphene using the full dispersion based on tight-binding models. The response is derived with the density matrix formalism using the length gauge and is valid for any…

Mesoscale and Nanoscale Physics · Physics 2018-12-05 F. Hipolito , Alireza Taghizadeh , T. G. Pedersen

Massive Dirac fermions break the chiral symmetry explicitly and also make the Berry curvature of the band structure non-Abelian. By utilizing the Green's function technique, we develop a microscopic theory to establish a set of quantum…

Mesoscale and Nanoscale Physics · Physics 2020-03-25 Bo Fu , Huan-Wen Wang , Shun-Qing Shen

It has been known that the semiclassical theory and the response theory can equivalently give the Drude and the intrinsic anomalous Hall conductivities in the linear order of electric field. However, recent theoretical advances implied that…

Mesoscale and Nanoscale Physics · Physics 2024-12-09 Jinxiong Jia , Longjun Xiang , Zhenhua Qiao , Jian Wang

Within a Kubo formalism, we calculate the absorptive part of the dynamic longitudinal conductivity $\sigma(\Omega)$ of a 2D semi-Dirac material. In the clean limit, we provide separate analytic formulas for intraband (Drude) and interband…

Mesoscale and Nanoscale Physics · Physics 2019-03-13 J. P. Carbotte , K. R. Bryenton , E. J. Nicol

Nonlinear spin polarization occurring in the second order of driving electric current is the dominant source of nonequilibrium magnetization in centrosymmetric or weakly noncentrosymmetric nonmagnetic materials, and induces nonlinear…

Mesoscale and Nanoscale Physics · Physics 2024-03-08 Ruda Guo , Yue-Xin Huang , Xiaoxin Yang , Yi Liu , Cong Xiao , Zhe Yuan

This work focuses on understanding the nonlinear-optical response of a 1-D quantum wire embedded in 2-D space when quantum-size effects in the transverse direction are minimized using an extremely weighted delta function potential. Our aim…

Optics · Physics 2012-03-30 Shoresh Shafei , Mark G. Kuzyk

Nonreciprocal transport phenomena indicate that the forward and backward flows differ, and are attributed to broken inversion symmetry. In this paper, we study the nonreciprocity of a thermal and thermoelectric transport of electronic…

Mesoscale and Nanoscale Physics · Physics 2019-03-13 Ryota Nakai , Naoto Nagaosa

The anomalous Hall and Nernst effects are considered theoretically within Matsubara-Green's function formalism. The effective Hamiltonian of a magnetized two-dimensional electron gas with cubic Rashba spin-orbit interaction may describe…

Mesoscale and Nanoscale Physics · Physics 2020-03-18 Anna Krzyżewska , Anna Dyrdał

This work sets the exact equations for the quasiclassical response function and susceptibility of a Brownian particle immersed in a bath of quantum harmonic oscillators driving by nonlinear harmonic potentials. A delta force perturbation…

Quantum Physics · Physics 2020-12-09 Pedro J. Colmenares

We report on the linear and nonlinear optical response of metamaterials evoked by first and second order multipoles. The analytical ground on which our approach bases permits for new insights into the functionality of metamaterials. For the…

This review presents recent breakthroughs in the realm of nonlinear Hall effects, emphasizing central theoretical foundations and recent experimental progress. We elucidate the quantum origin of the second-order Hall response, focusing on…

Mesoscale and Nanoscale Physics · Physics 2024-05-21 Arka Bandyopadhyay , Nesta Benno Joseph , Awadhesh Narayan

Absorption of surface acoustic waves by a two-dimensional electron gas in a perpendicular magnetic field is considered. The structure of such system at the filling factor $\nu$ close to 1/2 can be understood as a gas of {\em composite…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Joakim Bergli , Yuri Galperin

In recent years, nonlinear transport phenomena have garnered significant interest in both theoretical explorations and experiments. In this work, we utilize the semi-classical wave packet theory to calculate disorder-induced second-order…

Mesoscale and Nanoscale Physics · Physics 2026-01-29 Ying-Fei Zhang , Zhi-Fan Zhang , Hua Jiang , Zhen-Gang Zhu , Gang Su