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Quantum Materials Condensed Matter Topological Quantum Computing

Quantum Geometry and Nonlinear Responses in Magnetic and Topological Quantum Materials

arXiv
Authors: M. Mehraeen

Year

2026

Paper ID

3027

Status

Preprint

Abstract Read

~2 min

Abstract Words

59

Citations

N/A

Abstract

This dissertation explores various nonlinear responses that arise from the rich interplay between quantum geometry, disorder, magnetism and topology in quantum materials. In addition to presenting generalizations of quantum kinetic theory, Kubo formulas and semiclassical Boltzmann transport theory to the nonlinear response regime, we discuss several predictions of novel transport effects and physical insights that emerge from these developments.

Why This Paper Matters

  • This paper contributes to the Topological Quantum Computing research area in the Quantum Articles archive.
  • It adds a 2026 reference point for readers tracking recent quantum research.
  • This dissertation explores various nonlinear responses that arise from the rich interplay between quantum geometry, disorder, magnetism and topology in quantum materials.

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