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HL: Fachverband Halbleiterphysik

HL 29: Poster II

HL 29.81: Poster

Dienstag, 18. März 2025, 18:00–20:00, P1

Signatures of the quantum skyrmion Hall effect in the Bernevig-Hughes-Zhang model — •Reyhan Ay, Adipta Pal, and Ashley M. Cook — Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Strasse 38, 01187 Dresden, Germany

Given the recent discovery of the quantum skyrmion Hall effect (QSkHE) revealing that the 2+1 D SU(2) gauge theory should be generalized to include terms from an underlying 4+1 D SU(2) gauge theory subjected to generalized fuzzification, we re-examine the canonical Bernevig-Hughes-Zhang (BHZ) model for the quantum spin Hall insulator (QSHI). Considering that the isospin degrees of freedom in the tight-binding model Hamiltonian effectively encode two additional spatial dimensions, we identify signatures of topological states within the QSkHE framework related to intrinsically 4+1 D topological phases revealed by breaking time-reversal symmetry through a weak Zeeman field. We identify distinctive real-space boundary orbital angular momentum textures due to the QSkHE, as well as gapless boundary modes that are robust against magnetic disorder, which is unexpected for a QSHI but predictable for compactified boundary 3D Weyl nodes in a topological skyrmion phase. Revisiting experimental work on robust edge conduction in HgTe quantum wells under Zeeman and orbital magnetic fields, we find these results consistent with theoretical predictions of compactified boundary 3D Weyl nodes to such external fields. These experiments are thus potentially the first-known experimental observation of the quantum skyrmion Hall effect.

Keywords: Quantum Skyrmion Hall Effect; Bernevig-Hughes-Zhang Model; Topological Insulators; Zeeman Field Robustness; HgTe Quantum Wells