High harmonic generation in crystals using maximally localized Wannier functions
TLDR
In this article, the authors proposed the use of the maximally localized Wannier functions that provide a framework to map ab initio calculations to an effective tight-binding Hamiltonian with great accuracy.Abstract:
In this work, the nonlinear optical response, and in particular, the high harmonic generation of semiconductors, is addressed by using the Wannier gauge. One of the main problems in the time evolution of the Semiconductor Bloch equations resides in the fact that the dipole couplings between different bands can diverge and have a random phase along the reciprocal space, and this leads to numerical instability. To address this problem, we propose the use of the maximally localized Wannier functions that provide a framework to map ab initio calculations to an effective tight-binding Hamiltonian with great accuracy. We show that working in the Wannier gauge, the basis set in which the Bloch functions are constructed directly from the Wannier functions, the dipole couplings become smooth along the reciprocal space, thus avoiding the problem of random phases. High harmonic generation is computed for a two-dimensional monolayer of hexagonal boron nitride as a numerical demonstration.read more
Citations
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Topological strong field physics on sub-laser cycle time scale
TL;DR: In this paper, the authors identify distinct topological effects on the directionality and the attosecond timing of currents arising during electron injection into conduction bands, and show that electrons tunnel across the band gap differently in trivial and topological phases.
Journal ArticleDOI
Circular dichroism in higher-order harmonic generation: Heralding topological phases and transitions in Chern insulators
Alexis Chacón,Alexis Chacón,Dasol Kim,Wei Zhu,Shane P. Kelly,Shane P. Kelly,Alexandre Dauphin,Emilio Pisanty,A. S. Maxwell,A. S. Maxwell,Antonio Picón,Antonio Picón,Marcelo F. Ciappina,Dong Eon Kim,Christopher Ticknor,Avadh Saxena,Maciej Lewenstein +16 more
TL;DR: In this paper, the asymmetry of the material-light emissivity while the topological phase is subjected to right-circularly (RCP) and left-circularityly polarized (LCP) mid-infrared lasers is investigated.
Journal ArticleDOI
Attosecond spectral singularities in solid-state high-harmonic generation
Ayelet Julie Uzan,Gal Orenstein,Álvaro Jiménez-Galán,C. R. McDonald,R. E. F. Silva,Barry D. Bruner,Nikolai D. Klimkin,Valérie Blanchet,Talya Arusi-Parpar,Michael Krüger,Alexey N. Rubtsov,Olga Smirnova,Misha Ivanov,Misha Ivanov,Binghai Yan,Thomas Brabec,Nirit Dudovich +16 more
TL;DR: In this article, the authors used high-harmonic generation spectroscopy to reveal the underlying attosecond dynamics that dictates the temporal evolution of carriers in multi-band solid-state systems.
Journal ArticleDOI
Topological strong-field physics on sub-laser-cycle timescale
R. E. F. Silva,Álvaro Jiménez-Galán,B. Amorim,B. Amorim,Olga Smirnova,Misha Ivanov,Misha Ivanov +6 more
TL;DR: In this article, the authors identify distinct bulk topological effects on directionality and timing of currents arising during electron injection into conduction bands, and show that electrons tunnel differently in trivial and topological insulators, for the same band structure, and identify the key role of the Berry curvature in this process.
Journal ArticleDOI
Structure gauges and laser gauges for the semiconductor Bloch equations in high-order harmonic generation in solids
Lun Yue,Mette B. Gaarde +1 more
Abstract: The semiconductor Bloch equations (SBEs) are routinely used for simulations of strong-field laser-matter interactions in condensed matter. In systems without inversion or time-reversal symmetries, the Berry connections and transition dipole phases (TDPs) must be included in the SBEs, which in turn requires the construction of a smooth and periodic structure gauge for the Bloch states. Here, we illustrate a general approach for such a structure-gauge construction for topologically trivial systems. Furthermore, we investigate the SBEs in the length and velocity gauges and discuss their respective advantages and shortcomings for the high-harmonic generation (HHG) process. We find that in cases where we require dephasing or separation of the currents into interband and intraband contributions, the length-gauge SBEs are computationally more efficient. In calculations without dephasing and where only the total current is needed, the velocity-gauge SBEs are structure-gauge independent and are computationally more efficient. We employ two systems as numerical examples to highlight our findings: a one-dimensional model of ZnO and the two-dimensional monolayer hexagonal boron nitride (hBN). The omittance of Berry connections or TDPs in the SBEs for hBN results in nonphysical HHG spectra. The structure- and laser-gauge considerations in the current work are not restricted to the HHG process and are applicable to all strong-field matter simulations with SBEs.
References
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Quantum ESPRESSO: a modular and open-source software project for quantum simulations of materials
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Journal ArticleDOI
Maximally localized generalized Wannier functions for composite energy bands
Nicola Marzari,David Vanderbilt +1 more
TL;DR: In this paper, a method for determining the optimally localized set of generalized Wannier functions associated with a set of Bloch bands in a crystalline solid is presented, which is suitable for use in connection with conventional electronic-structure codes.
Journal ArticleDOI
wannier90: A tool for obtaining maximally-localised Wannier functions ✩
Arash A. Mostofi,Jonathan R. Yates,Jonathan R. Yates,Young-Su Lee,Ivo Souza,Ivo Souza,David Vanderbilt,Nicola Marzari +7 more
TL;DR: Wannier90 is a program for calculating maximally-localised Wannier functions (MLWF) from a set of Bloch energy bands that may or may not be attached to or mixed with other bands, and is able to output MLWF for visualisation and other post-processing purposes.