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Probing Green's Function Zeros by Cotunneling through Mott Insulators.

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This summary is machine-generated.

Researchers theoretically accessed Green's function zeros (GFZs) in quantum materials using cotunneling. This method reveals the shadow band structure, offering insights into many-body correlations beyond traditional poles.

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Area of Science:

  • Condensed matter physics
  • Quantum mechanics
  • Materials science

Background:

  • Quantum tunneling experiments reveal excitations as Green's function poles.
  • Green's function zeros (GFZs) are less understood but crucial in quantum materials.
  • GFZs have largely eluded direct experimental study.

Purpose of the Study:

  • To theoretically investigate cotunneling through Mott insulators for accessing GFZs.
  • To reveal the shadow band structure associated with GFZs.
  • To distinguish GFZ structure from Bloch band structure using many-body correlations.

Main Methods:

  • Derivation of an effective Hamiltonian for GFZs.
  • Analysis of cotunneling amplitude governed by the GFZ Hamiltonian.
  • Perturbative analytical calculations.
  • Numerical simulations using exact diagonalization and matrix product states.

Main Results:

  • Cotunneling provides direct access to the shadow band structure of GFZs.
  • The derived GFZ Hamiltonian governs cotunneling amplitude.
  • Fingerprints of many-body correlations are identified, distinguishing GFZs from Bloch bands.
  • One-dimensional Su-Schrieffer-Heeger-Hubbard model coupled to quantum dots used as a test system.

Conclusions:

  • Cotunneling is a viable theoretical probe for studying GFZs in quantum materials.
  • The shadow band structure provides unique insights into strongly correlated systems.
  • This work opens avenues for experimental investigation of GFZs.