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Updated: May 15, 2026
06:42
Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
Wavefunctions, quantum diffusion, and scaling exponents in golden-mean quasiperiodic tilings
Stefanie Thiem1, Michael Schreiber
1Institut für Physik, Technische Universität Chemnitz, D-09107 Chemnitz, Germany. stefanie.thiem@physik.tu-chemnitz.de
Summary
We explored wavefunctions and wavepacket dynamics in quasiperiodic models. Our findings reveal multifractal wavefunctions and transport properties governed by the system
Area of Science:
- Condensed Matter Physics
- Quantum Mechanics
- Materials Science
Background:
- Quasiperiodic systems exhibit complex electronic properties due to their unique structural order.
- Understanding wavefunction behavior and dynamics is crucial for predicting electronic transport in these materials.
Purpose of the Study:
- To investigate the properties of wavefunctions and wavepacket dynamics in multi-dimensional quasiperiodic tight-binding models.
- To analyze the influence of strong quasiperiodic modulation on electronic transport properties.
- To establish scaling behaviors and bounds for wavepacket dynamics.
Main Methods:
- Numerical simulations of quasiperiodic tight-binding models in 1D, 2D, and 3D.
- Application of the renormalization group (RG) approach to analyze multifractal wavefunctions and transport.
- Investigation of wavepacket dynamics, focusing on return probability and wavepacket width scaling.
Main Results:
- Wavefunctions in these quasiperiodic systems are found to be multifractal.
- The renormalization group approach reveals that strong quasiperiodic modulation governs wavefunction properties and transport.
- Scaling behavior of wavepacket return probability is directly linked to the underlying quasiperiodic structure.
Conclusions:
- The study establishes a connection between multifractal wavefunctions, system structure, and electronic transport in quasiperiodic models.
- Renormalization group methods provide a powerful tool for understanding strong quasiperiodic modulation effects.
- Insights into scaling exponents and bounds for wavepacket dynamics are provided for future research.
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