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Maximilian Graml

Research projects

Theory of non-integer high-harmonic generation

Applying laser pulses with a driving frequency ω to solids, one observes ultrafast dynamics including high-harmonic generation with frequencies n*ω (n ∈ ℕ). We use our open-source software package CUED [1] to investigate the high-harmonic emission spectrum emitted by the surface of the topological insulator Bi2Te3. Currently, we are further exploring the continuous shift of a high-harmonic order to arbitrary non-integer multiples of the driving frequency r*ω (r ∈ ℝ) beyond Ref. [2] by varying the shape of the driving pulse. We have developed an analytical formula for the shift of high-harmonics frequencies while changing the shape of the laser pulse. We have compared the analytical formula to numerical data finding quantitative agreement, thus validating the formula [3].


Bethe-Salpeter equation in CP2K

Using density-functional theory (DFT) and many-body perturbation theory within the GW approximation, electronic band structures and quasiparticle energies in molecules can be computed to model a wide range of materials, e.g. electronics, pharmaceuticals or cosmetics. The GW-Bethe-Salpeter equation (GW-BSE) approach further enables the accurate computation of optical properties corresponding to excitations of the system, e.g. providing a means to find potential candidates for novel photovoltaics and other electronics. We are currently working on an implementation of the BSE in the open-source package CP2K to take advantage of the available low-scaling GW methods [4].


[1] J. Wilhelm et al.:  Semiconductor Bloch-equations formalism: Derivation and application to high-harmonic generation from Dirac fermions, Phys. Rev. B 103, 125419 (2021).

[2] C. P. Schmid et al.: Tunable non-integer high-harmonic generation in a topological insulator, Nature 593, 385-390 (2021).

[3] M. Graml et al.: Theory of non-integer high-harmonic generation in a topological surface state, arxiv: 2205.02631 (2022)

[4] J. Wilhelm et al.: Toward GW calculations on thousands of atoms, J. Phys. Chem. Lett. 9, 306-312 (2018).

Short CV

Since April 2022: Research for Master's thesis in the ccmt group
March 2021 - March 2022: Research assistant in the ccmt group
January 2021: Bachelor thesis in the ccmt group
Since October 2017: Study of Physics


WiSe 2020/2021: Classical Mechanics (teaching assistant)
WiSe 2019/2020: Mathematische Methoden (teaching assistant)


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Maximilian Graml

Computational Condensed Matter Theory Group
Institut I - Theoretische Physik
Universität Regensburg,
D-93040 Regensburg

PHY 3.1.04
+49 (0) 941 943 1767