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Non-Hermitian Mott Skin Effect.

Tsuneya Yoshida1,2, Song-Bo Zhang3,4, Titus Neupert5

  • 1Department of Physics, <a href="https://ror.org/02kpeqv85">Kyoto University</a>, Kyoto 606-8502, Japan.

Physical Review Letters
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Summary
This summary is machine-generated.

We discovered a new "non-Hermitian Mott skin effect" in quantum systems. This effect shows boundary sensitivity in spin but not charge, unlike typical skin effects.

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Area of Science:

  • Quantum Many-Body Physics
  • Condensed Matter Physics
  • Topological Physics

Background:

  • Non-Hermitian systems exhibit unique phenomena like the non-Hermitian skin effect, where states localize at boundaries.
  • Strong correlations in quantum systems lead to emergent behaviors like Mott physics.

Purpose of the Study:

  • To introduce and characterize a novel skin effect, the "non-Hermitian Mott skin effect," in non-Hermitian quantum many-body systems.
  • To differentiate this new effect from the ordinary non-Hermitian skin effect observed in noninteracting systems.

Main Methods:

  • Theoretical analysis using an effective Hamiltonian for a bosonic non-Hermitian chain.
  • Numerical diagonalization to confirm the emergence of the non-Hermitian Mott skin effect.

Main Results:

  • The non-Hermitian Mott skin effect arises from the interplay of strong correlations and non-Hermitian point-gap topology.
  • This effect causes boundary sensitivity exclusively in the spin degree of freedom, not in charge distribution.
  • Time evolution reveals spin accumulation while charge distribution remains uniform, distinguishing it from ordinary skin effects.

Conclusions:

  • The non-Hermitian Mott skin effect represents a distinct boundary phenomenon in correlated non-Hermitian systems.
  • This discovery offers new insights into the physics of non-Hermitian quantum many-body systems and topological effects.