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The nonlinear Hall effect is an unconventional response, in which a voltage can be driven by two perpendicular currents in the Hall-bar measurement. Unprecedented in the family of the Hall effects, it can survive time-reversal symmetry but…

Mesoscale and Nanoscale Physics · Physics 2021-09-15 Z. Z. Du , C. M. Wang , Hai-Peng Sun , Hai-Zhou Lu , X. C. Xie

In these lecture notes, partly based on a course taught at the Karpacz Winter School in March 2014, we explore the close connections between non-adiabatic response of a system with respect to macroscopic parameters and the geometry of…

Quantum Gases · Physics 2017-09-12 Michael Kolodrubetz , Dries Sels , Pankaj Mehta , Anatoli Polkovnikov

Chiral topological semimetals are materials that break both inversion and mirror symmetries. They host interesting phenomena such as the quantized circular photogalvanic effect (CPGE) and the chiral magnetic effect. In this work, we report…

We investigate the holographic $p$-wave superconductors in the presence of the higher order corrections on the gravity as well as on the gauge field side. On the gravity side, we add the Gauss-Bonnet curvature correction terms, while on the…

High Energy Physics - Theory · Physics 2019-11-01 Mahya Mohammadi , Ahmad Sheykhi

Quantum geometry of the electron wave function plays a significant role in the linear and non-linear responses of crystalline materials. Here, we study quantum geometry induced second harmonic generation. We identify non-linear responses…

Mesoscale and Nanoscale Physics · Physics 2022-12-13 Pankaj Bhalla , Kamal Das , Dimitrie Culcer , Amit Agarwal

We investigate nonlinear optical analogues of quantum phase transitions within a squeezing-enhanced generalized Lipkin-Meshkov-Glick (LMG) model, focusing on excited-state quantum phase transitions in optical fibers with tetragonal…

Quantum Physics · Physics 2025-05-27 Chon-Fai Kam

The planar Hall effect in 3D systems is an effective probe for their Berry curvature, topology, and electronic properties. However, the Berry curvature-induced conventional planar Hall effect is forbidden in 2D systems as the out-of-plane…

Mesoscale and Nanoscale Physics · Physics 2025-02-04 Koushik Ghorai , Sunit Das , Harsh Varshney , Amit Agarwal

The photo-excitation of multi-layered potassium doped black phosphorus that exists as a gapped semi-Dirac two-dimensional normal insulator (NI), transforms it into a time-reversal symmetry broken Chern insulator (CI). This transition from…

Materials Science · Physics 2021-08-25 Parijat Sengupta , Shaloo Rakheja

Carrier dynamics acquire a new character in the presence of Bloch-band Berry curvature, which naturally arises in gapped Dirac materials (GDMs). Here we argue that photoresponse in GDMs with small band gaps is dramatically enhanced by Berry…

Mesoscale and Nanoscale Physics · Physics 2016-12-19 Justin C. W. Song , Mikhail A. Kats

The Teraherz (THz) photoresponse of a two-dimensional electron gas in the quantum Hall regime is investigated. We use a sample structure which is topologically equivalent to a Corbino geometry combined with a cross-gate technique. This…

Mesoscale and Nanoscale Physics · Physics 2009-11-28 Christian Notthoff , Kevin Rachor , Detlef Heitmann , Axel Lorke

We describe the observation of the circular and linear photogalvanic effects in HgTe/CdHgTe quantum wells. The interband absorption of mid-infrared radiation as well as the intrasubband absorption of terahertz (THz) radiation in the QWs…

The coherent photogalvanic effect leads to the generation of a current under the absorption interference of coherent beams and allows for the inscription of space-charge gratings leading to an effective second-order susceptibility…

Optics · Physics 2022-11-29 Ozan Yakar , Edgars Nitiss , Jianqi Hu , Camille-Sophie Brès

We examine the photonic spin Hall effect (SHE) in a graphene-substrate system with the presence of external magnetic field. In the quantum Hall regime, we demonstrate that the in-plane and transverse spin-dependent splittings in photonic…

The geometric phase, originating from the cyclic evolution of a state, such as polarization on the Poincar\'e sphere, is typically measured through interferometric approaches that often include unwanted contributions from the dynamic phase.…

Quantum Physics · Physics 2025-06-03 Vimlesh Kumar , Chahat Kaushik , M. Ebrahim-Zadeh , C. M. Chandrashekar , G. K. Samanta

The bulk photovoltaic effect (BPVE) refers to the direct current generation in a noncentrosymmetric material under illumination and can be applied to solar energy technology. BPVE includes injection and shift currents, led by the change of…

Mesoscale and Nanoscale Physics · Physics 2025-11-04 Bo-Xin Lin , Hsiu-Chuan Hsu

We develop a microscopic theory of an unconventional photogalvanic effect in two-dimensional materials with the Dirac energy spectrum of the carriers of charge under strong driving. As a test bed, we consider a layer of a transition metal…

Mesoscale and Nanoscale Physics · Physics 2019-02-13 V. M. Kovalev , I. G. Savenko

Frequency conversion (FC) and type-II parametric down-conversion (PDC) processes serve as basic building blocks for the implementation of quantum optical experiments: type-II PDC enables the efficient creation of quantum states such as…

Quantum Physics · Physics 2013-05-27 Andreas Christ , Benjamin Brecht , Wolfgang Mauerer , Christine Silberhorn

Quantum geometry is a well-established framework for understanding transport and optical responses in quantum materials. In this work, I study the photon drag effect in Dirac electrons using the quantum geometric interpretation of…

Mesoscale and Nanoscale Physics · Physics 2025-08-19 Guanxiong Qu

Quantum geometry appears as a key factor in understanding the optical properties of quantum materials, with the anticipation on diverging or quantized responses near the Dirac and Weyl points. Here we investigate linear and nonlinear…

The quantum geometric tensor is composed of the Berry curvature and the quantum metric, which is observable by means of optical absorption of elliptically polarized light. Especially, the quantum geometric tensor at the zero-momentum is…

Mesoscale and Nanoscale Physics · Physics 2025-08-13 Motohiko Ezawa
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