Radiation-induced dynamical formation of Floquet-Bloch bands in Dirac Hamiltonians

Fuente: arXiv
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Autores principales: Baba, Yuriko, Junk, Vanessa, Hogger, Wolfgang, Domínguez-Adame, Francisco, Molina, Rafael A., Richter, Klaus
Formato: Preprint
Publicado: 2024
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author Baba, Yuriko
Junk, Vanessa
Hogger, Wolfgang
Domínguez-Adame, Francisco
Molina, Rafael A.
Richter, Klaus
author_facet Baba, Yuriko
Junk, Vanessa
Hogger, Wolfgang
Domínguez-Adame, Francisco
Molina, Rafael A.
Richter, Klaus
contents Recent experiments, combing ultrafast strong-field irradiation of surfaces with time- and angle-resolved photoemission spectroscopy, allow for monitoring the time-dependent charge carrier dynamics and the build-up of transient sidebands due to the radiation pulses. While these structures are reminiscent of Floquet-Bloch bands, standard Floquet theory is not applicable since it requires a strictly time-periodic driving field. To study the emergence and formation of such sidebands, i.e. to provide a link between common Floquet physics and dynamical mechanisms underlying short driving pulses, we consider a generalization of Floquet theory, the so-called $t-t^{\prime}$ formalism. This approach naturally extents Floquet theory to driving field amplitudes with a superimposed envelope shape. Motivated by experiments we study 2D Dirac Hamiltonians subject to linearly and circularly polarised light waves with a Gaussian field envelope of a few cycles. For these Floquet-Bloch Hamiltonians we study the evolution of their Floquet-Bloch spectra, accompanied by a systematic analysis of the time-dependent (sideband) transitions. We show that sideband occupation requires circularly polarized light for linear Dirac systems such as graphene, while for Dirac models with trigonal warping, describing surface states of topological insulators such as Bi$_2$ Se$_3$, both linearly and circularly polarised pulses induce sideband excitations.
format Preprint
id arxiv_https___arxiv_org_abs_2409_00285
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Radiation-induced dynamical formation of Floquet-Bloch bands in Dirac Hamiltonians
Baba, Yuriko
Junk, Vanessa
Hogger, Wolfgang
Domínguez-Adame, Francisco
Molina, Rafael A.
Richter, Klaus
Mesoscale and Nanoscale Physics
Other Condensed Matter
Recent experiments, combing ultrafast strong-field irradiation of surfaces with time- and angle-resolved photoemission spectroscopy, allow for monitoring the time-dependent charge carrier dynamics and the build-up of transient sidebands due to the radiation pulses. While these structures are reminiscent of Floquet-Bloch bands, standard Floquet theory is not applicable since it requires a strictly time-periodic driving field. To study the emergence and formation of such sidebands, i.e. to provide a link between common Floquet physics and dynamical mechanisms underlying short driving pulses, we consider a generalization of Floquet theory, the so-called $t-t^{\prime}$ formalism. This approach naturally extents Floquet theory to driving field amplitudes with a superimposed envelope shape. Motivated by experiments we study 2D Dirac Hamiltonians subject to linearly and circularly polarised light waves with a Gaussian field envelope of a few cycles. For these Floquet-Bloch Hamiltonians we study the evolution of their Floquet-Bloch spectra, accompanied by a systematic analysis of the time-dependent (sideband) transitions. We show that sideband occupation requires circularly polarized light for linear Dirac systems such as graphene, while for Dirac models with trigonal warping, describing surface states of topological insulators such as Bi$_2$ Se$_3$, both linearly and circularly polarised pulses induce sideband excitations.
title Radiation-induced dynamical formation of Floquet-Bloch bands in Dirac Hamiltonians
topic Mesoscale and Nanoscale Physics
Other Condensed Matter
url https://arxiv.org/abs/2409.00285