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We present a general formalism for investigating the second-order optical response of solids to an electric field in weakly disordered crystals with arbitrarily complicated band structures based on density-matrix equations of motion, on a…

Mesoscale and Nanoscale Physics · Physics 2022-07-04 Amin Maleki Sheikhabadi , Zahra Bagheri , Ali Sadeghi

We study the Fermi surface contribution to the nonlinear DC photocurrent at quadratic order in a spatially uniform optical field in the ultra-clean limit. In addition to shift and injection current, we find that polarized light incident on…

Materials Science · Physics 2021-12-07 Lingyuan Gao , Zachariah Addison , E. J. Mele , Andrew M. Rappe

Injection and shift currents are generally regarded as distinct nonlinear optical responses with separate microscopic origins. Here, we uncover a general hidden connection between them through interband Berry-curvature and quantum-metric…

Mesoscale and Nanoscale Physics · Physics 2026-05-13 Mohammad Yahyavi , Tay-Rong Chang , Md Shafayat Hossain , Arun Bansil , Naoto Nagaosa , Guoqing Chang

Recent work has revealed a general procedure for incorporating disorder into the semiclassical model of carrier transport, whereby the predictions of quantum linear response theory can be recovered within a quantum kinetic approach based on…

Mesoscale and Nanoscale Physics · Physics 2025-03-10 M. Mehraeen

A quantum kinetic theory of the linear response to an electric field is provided from a controlled expansion of the Keldysh theory at leading order, for a multiband electron system with weak scalar disorder. The response is uniquely…

Mesoscale and Nanoscale Physics · Physics 2025-02-06 Thierry Valet , Roberto Raimondi

We study the nonlinear conductance through a quantum dot, specifically its dependence on the asymmetries in the tunnel couplings and bias voltages $V$, at low energies. Extending the microscopic Fermi-liquid theory for the Anderson impurity…

Mesoscale and Nanoscale Physics · Physics 2021-12-28 Kazuhiko Tsutsumi , Yoshimichi Teratani , Rui Sakano , Akira Oguri

We derive quantum kinetic equations for fermions in a homogeneous time-dependent background in presence of decohering collisions, by use of the Schwinger-Keldysh CTP-formalism. The quantum coherence (between particles and antiparticles) is…

High Energy Physics - Phenomenology · Physics 2009-03-24 Matti Herranen , Kimmo Kainulainen , Pyry Matti Rahkila

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

In solid state conductors, linear response to a steady electric field is normally dominated by Bloch state occupation number changes that are correlated with group velocity and lead to a steady state current. However, for a number of…

Mesoscale and Nanoscale Physics · Physics 2017-07-12 Dimitrie Culcer , Akihiko Sekine , Allan H. MacDonald

Berry curvature-related topological phenomena have been a central topic in condensed matter physics. Yet, until recently other quantum geometric quantities such as the metric and connection received only little attention due to the…

Mesoscale and Nanoscale Physics · Physics 2025-07-08 Yiyang Jiang , Tobias Holder , Binghai Yan

Response theories in condensed matter typically describe the response of an electron fluid to external electromagnetic fields, while perturbations on neutral particles are often designed to mimic such fields. Here, we study the response of…

Other Condensed Matter · Physics 2024-11-25 Kai Chen , Swadeepan Nanda , Pavan Hosur

Nonlinear optical responses are a crucial probe of physical systems including periodic solids. In the absence of electron-electron interactions, they are calculable with standard perturbation theory starting from the band structure of Bloch…

Strongly Correlated Electrons · Physics 2019-01-16 Daniel E. Parker , Takahiro Morimoto , Joseph Orenstein , Joel E. Moore

Starting from the density-matrix equation of motion, we derive a semiclassical kinetic equation for a general two-band electronic Hamiltonian, systematically including quantum-mechanical corrections up to second order in space-time…

Mesoscale and Nanoscale Physics · Physics 2013-11-27 Clement H. Wong , Yaroslav Tserkovnyak

We are at the midst of second quantum revolution where the mesoscopic quantum devies are actively employed for technological purposes. Despite this fact, the description of their real-time dynamics beyond the Fermi's golden rule remains a…

Quantum Physics · Physics 2023-09-19 Evgeny A. Polyakov

The method of the quantum kinetic equation is applied to the problem of renormalization of the conductivity of normal metals by gauge electron-electron interactions. It is shown that in the three-dimensional case the relativistic…

Condensed Matter · Physics 2007-05-23 D. V. Khveshchenko , Michael Reizer

We study the far-from-equilibrium statistical mechanics of periodically driven fermionic atoms in a lossy optical resonator. We show that the interplay of the Fermi surface with cavity losses leads to sub-natural cavity linewidth narrowing,…

Quantum Gases · Physics 2014-10-22 Francesco Piazza , Philipp Strack

A Fermi Liquid theory is developed for the persistent current past a side coupled quantum dot yielding analytical predictions for the behavior of the first two harmonics of the persistent current as a function of applied magnetic flux. The…

Strongly Correlated Electrons · Physics 2007-05-23 Ian Affleck , Erik S. Sørensen

A phenomenological theory is presented for two-dimensional quantum liquids in terms of the Fermi surface geometry. It is shown that there is a one-to-one correspondence between the properties of an interacting electron system and its…

Strongly Correlated Electrons · Physics 2015-06-25 Miklos Gulacsi

The second-order nonlinear responses of inviscid chiral fluids near local equilibrium are investigated by applying the chiral kinetic theory (CKT) incorporating side-jump effects. It is shown that the local equilibrium distribution function…

High Energy Physics - Theory · Physics 2019-04-09 Yoshimasa Hidaka , Shi Pu , Di-Lun Yang

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…

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