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Superdiffusive Transport in Chaotic Quantum Systems with Nodal Interactions.

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We discovered interacting fermionic quantum models with nodal interactions that show superdiffusive transport. These models feature long-lived quasiparticles leading to a diverging diffusion constant, even in chaotic systems.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Statistical Mechanics

Background:

  • Understanding transport properties in interacting quantum systems is crucial.
  • Superdiffusion and anomalous transport phenomena challenge conventional diffusion models.
  • Fermionic models with nodal interactions present a unique theoretical framework.

Purpose of the Study:

  • To introduce and analyze a class of interacting fermionic quantum models in d dimensions with nodal interactions.
  • To investigate the emergence of superdiffusive transport in these models.
  • To establish a nonperturbative understanding of the underlying mechanisms.

Main Methods:

  • Nonperturbative analytical techniques.
  • Boltzmann equation approach for charge transport analysis.
  • Tensor-network simulations for verification in one-dimensional systems.

Main Results:

  • Demonstrated superdiffusive transport due to nodal interactions.
  • Established the existence of long-lived quasiparticle excitations.
  • Derived an anomalous dispersion relation for the charge mode: ω(q)∼q^{z}, with z=min[(2n+d)/2n,2].
  • Confirmed theoretical predictions through 1D tensor-network simulations.

Conclusions:

  • Nodal interactions in fermionic quantum models can drive superdiffusive transport.
  • The nodal structure is key to generating long-lived quasiparticles and a diverging diffusion constant.
  • The derived anomalous dispersion relation provides a quantitative description of the charge mode's behavior.