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Based on the multiband semiconductor Bloch equations a microscopic approach to high-harmonic generation in crystalline solids which is able to properly describe degenerate bands and band crossings is presented and analyzed. It is well-known…

Mesoscale and Nanoscale Physics · Physics 2021-02-10 Le Huu Thong , Cong Ngo , Huynh Thanh Duc , Xiaohong Song , Torsten Meier

We develop a quasi-classical theory of high harmonic generation in semiconductors based on an interband current that has been transformed from Bloch to Wannier basis. The Wannier quasi-classical approach reveals a complete picture of the…

Mesoscale and Nanoscale Physics · Physics 2020-06-18 Andrew M. Parks , Guilmot Ernotte , Adam Thorpe , Chris R. McDonald , Paul B. Corkum , Marco Taucer , Thomas Brabec

The generation of high-order harmonics in bulk solids subjected to intense ultrashort laser pulses has opened up new avenues for research in extreme nonlinear optics and light-matter interaction on sub-cycle timescales. Despite significant…

Emission of high-order harmonics from solids provides a new avenue in attosecond science. On one hand, it allows to investigate fundamental processes of the non-linear response of electrons driven by a strong laser pulse in a periodic…

We study high order harmonics generation (HHG) in crystalline silicon and diamond subjected to near and mid-infrared laser pulses. We employ time-dependent density functional theory and solve the time-dependent Kohn-Sham equation in the…

Materials Science · Physics 2022-08-31 David Freeman , Shunsuke Yamada , Atsushi Yamada , Kazuhiro Yabana , Anatoli Kheifets

High-harmonic generation has emerged as a pivotal process in strong-field physics, yielding extreme ultraviolet radiation and attosecond pulses with a wide range of applications. Furthermore, its emergent connection with the field of…

High harmonic generation (HHG) from semiconductors and insulators has become a very active area of research due to its great potential for developing compact HHG devices. Here we show that by growing monolayers (ML) of insulators on…

Atomic Physics · Physics 2016-12-28 Néstor F. Aguirre , Fernando Martín

The emerging possibilities to steer and control electronic motion on subcycle time scales with strong electric fields enable studying the nonperturbative optical response and Bloch bands' topological properties, originated from Berry's…

Mesoscale and Nanoscale Physics · Physics 2021-01-12 Hamed Koochaki Kelardeh

High harmonic generation (HHG) is a powerful probe of electron dynamics on attosecond to femtosecond timescales and has been successfully used to detect electronic and structural changes in solid-state quantum materials, including…

Materials Science · Physics 2026-01-21 Daniel A. Rehn , Towfiq Ahmed , Jinkyoung Yoo , Rohit Prasankumar , Jian-Xin Zhu

When using Wannier functions to study the electronic structure of multi-parameter Hamiltonians $H^{(\boldsymbol k,\bf \lambda)}$ carrying a dependence on crystal momentum $\boldsymbol k$ and an additional periodic parameter $\bf\lambda$,…

Materials Science · Physics 2015-06-11 Jan-Philipp Hanke , Frank Freimuth , Stefan Blügel , Yuriy Mokrousov

Time-dependent Wannier functions were initially proposed as a means for calculating the polarization current in crystals driven by external fields. In this work, we present a simple gauge where Wannier states are defined based on the…

Materials Science · Physics 2024-10-29 Cristian M. Le , Hannes Hübener , Ofer Neufeld , Angel Rubio

Using real-space view of high harmonic generation (HHG) in solids, we develop a physically transparent and gauge-invariant approach for distinguishing intraband and interband HHG mechanisms. Our approach relies on resolving the harmonic…

A standard task in solid state physics and quantum chemistry is the computation of localized molecular orbitals known as Wannier functions. In this manuscript, we propose a new procedure for computing Wannier functions in one-dimensional…

Mathematical Physics · Physics 2025-10-21 Abinand Gopal , Hanwen Zhang

Maximally localized Wannier functions are the key tool for a variety of physical applications of Bloch states. Here we develop a simple and exact procedure to construct maximally localized Wannier functions for one dimensional periodic…

Strongly Correlated Electrons · Physics 2014-12-12 Yuri Lensky , Colin Kennedy

High harmonic generation (HHG) is a manifestation of the strongly nonlinear response of matter to intense laser fields and has, as the basis for coherent XUV sources a variety of applications. Recently, HHG from atoms in a phase and…

Optics · Physics 2020-05-20 Jonas Wätzel , Jamal Berakdar

The extreme nonlinear optical process of high-harmonic generation (HHG) makes it possible to map the properties of a laser beam onto a radiating electron wavefunction, and in turn, onto the emitted x-ray light. Bright HHG beams typically…

We investigate high-harmonic generation in closed systems, using the two-level atom as a simplified model. By means of a windowed Fourier transform of the time-dependent dipole acceleration, we extract the main contributions to this process…

Atomic Physics · Physics 2007-05-23 C. Figueira de Morisson Faria , I Rotter

Solid-state high-order harmonic generation (HHG) presents unique features different from gases.Whereas the gaseous harmonics driven by counter-rotating bicircular (CRB) pulse universally peak at a "magic" field ratio approximately…

Optics · Physics 2025-07-15 Qing-Guo Fan , Kang Lai , Wen-hao Liu , Zhi Wang , Lin-Wang Wang , Jun-Wei Luo

Wannier functions provide a localized representation of spectral subspaces of periodic Hamiltonians, and play an important role for interpreting and accelerating Hartree-Fock and Kohn-Sham density functional theory calculations in quantum…

Computational Physics · Physics 2018-01-29 Anil Damle , Antoine Levitt , Lin Lin

We discuss a method for constructing generalized Wannier functions that are maximally localized at the minima of a one-dimensional periodic potential with a double-well per unit cell. By following the approach of (Marzari M and Vanderbilt D…

Quantum Gases · Physics 2013-07-04 Michele Modugno , Giulio Pettini
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