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Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
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Charge diffusion in the one-dimensional Hubbard model.

R Steinigeweg1, F Jin2, H De Raedt3

  • 1Department of Physics, University of Osnabrück, D-49069 Osnabrück, Germany.

Physical Review. E
|September 28, 2017
PubMed
Summary
This summary is machine-generated.

We observed clean charge diffusion in the one-dimensional Hubbard model at high temperatures, even with strong interactions. This diffusive behavior is robust and independent of specific initial conditions in the half-filling sector.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Statistical Mechanics

Background:

  • The one-dimensional Hubbard model is a fundamental model for understanding strongly correlated electron systems.
  • Investigating charge dynamics in nonequilibrium states is crucial for comprehending emergent phenomena in quantum materials.

Purpose of the Study:

  • To investigate the real-time and real-space charge dynamics in the one-dimensional Hubbard model at high temperatures.
  • To explore the behavior of charge diffusion under strong particle-particle interactions and nonequilibrium conditions.

Main Methods:

  • Numerical forward-propagation techniques were employed to simulate the time evolution of quantum states.
  • Pure initial states with sharply peaked density profiles were prepared for chains up to 20 sites.

Main Results:

  • Excellent agreement with linear-response theory was found for a class of typical initial states.
  • Remarkably clean charge diffusion was observed in the regime of strong particle-particle interactions.
  • The diffusive behavior was shown to be independent of specific initial conditions in the half-filling sector.

Conclusions:

  • Charge diffusion is a robust phenomenon in the one-dimensional Hubbard model under high-temperature, strong interaction, and nonequilibrium conditions.
  • The findings provide insights into the fundamental transport properties of interacting quantum systems.