We develop a theoretical framework for probing moiré phonon modes using Raman spectroscopy, and illustrate it with the example of twisted bilayer graphene (TBG). moiré phonons arise from interlayer sliding motion in twisted 2D materials and correspond to fluctuations of the stacking order in reconstructed moiré superlattices. These include both gapless phason modes and a new set of low-energy optical modes, which are accessible via Raman spectroscopy. We show that the Raman response of TBG exhibits a series of low-frequency peaks that clearly distinguish it from that of decoupled layers. We further examine the role of anharmonic interactions in shaping the phonon linewidths and demonstrate the strong dependence of the Raman spectra on both the twist angle and the polarization of the incident light. Our findings establish Raman spectroscopy as a powerful tool for exploring moiré phonons in a broad class of twisted van der Waals systems.
Confining electrons to two dimensions (2D) is known to enhance electronic correlations and promote non-trivial topological phases. Atomic monolayers on semiconductor substrates represent the ultimate 2D limit of such confinement and thus have recently come into focus as "third-generation 2D designer quantum materials", following the examples of graphene and monolayer transition metal dichalcogenides. Here I will focus on atomic monolayers as 2D topological insulators (2D-TIs) which host 1D metallic and spin-polarized edge states as hallmark of the quantum spin Hall (QSH) effect. My examples range from bismuthene (Bi/SiC(0001)) [1-3], the 2D-TI with the largest band gap realized to date, to indenene (In/SiC(0001)), a triangular lattice of In atoms with emergent honeycomb physics [4,5]. Using ARPES as well as STM/STS we have studied their electronic structure and especially their topological edge states, revealing interesting insights into their protection (or loss thereof) against single-particle backscattering. I will also demonstrate how circular dichroism in ARPES can serve as a tool to identify non-trivial topology in the bulk states [6]. Finally, I will discuss the stabilization of these monolayers in ambient conditions via van der Waals capping [7,8], paving the way towards ex situ experiments and the realization of transport devices. [1] Science 357, 287 (2017) [2] Nat. Phys. 16, 47 (2020) [3] Nat. Commun. 13, 3480 (2022) [4] Nat. Commun. 12, 5396 (2021) [5] arXiv:2503.11497 [6] Phys. Rev. Lett. 132, 196401 (2024) [7] Nat. Commun. 15, 1486 (2024) [8] arXiv:2502.01592
We introduce and implement a reformulation of the strong disorder renormalization group (SDRG) method in real space, which is well suited to study bond disordered power law long range coupled quantum spin chains. We apply the method to derive the entanglement entropy growth after a global quench and find at a critical power law exponent a transition from logarithmic to subvolume law growth with time. We trace that transition to the emergence of rainbow states. https://arxiv.org/abs/2501.07298
A review is given on the microwave studies performed in the Marburg quantum chaos group starting from the very beginning about 1990 up to the shut-down two years ago. This includes test of random matrix theory and periodic orbit theory in chaotic microwave resonators, the emission patterns of distorted dielectric resonators, studies of microwave equivalents of graphene-like structures, or the generation of freak waves in a lab size version of the ocean.
In 1972 Phil Andersen articulated the motto of condensed matter physics as “More is different.” However, for most many-body systems the behavior of a trillion bodies is nearly the same as that of a thousand. Here I argue for a class of condensed matter, “tunable matter," in which many more is different. The ultimate example of tunable matter is the brain, whose cognitive capabilities increase as size increases from 302 neurons (C. Elegans) to a million neurons (honeybees) to 100 billion neurons (humans). I propose that tunable matter provides a unifying conceptual framework for understanding not only a wide range of systems that perform biological functions, but also physical systems capable of being trained to develop special collective behaviors without using a processor.