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Terminable Transitions in a Topological Fermionic Ladder.

Yuchi He1,2, Dante M Kennes1,3, Christoph Karrasch4

  • 1Institut für Theorie der Statistischen Physik, RWTH Aachen University and JARA-Fundamentals of Future Information Technology, 52056 Aachen, Germany.

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Summary
This summary is machine-generated.

Researchers reveal that D-Mott and S-Mott phases in interacting fermionic ladders are two sides of a single topological phase. This transition, analogous to liquid-gas, can be continuous or first-order and is robust across various interaction strengths.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Materials
  • Topological Phases

Background:

  • Interacting fermionic ladders are key systems for exploring exotic quantum phases.
  • Mott insulators exhibit distinct states like D-Mott and S-Mott, characterized by preformed fermion pairs.
  • These states can evolve into paired-fermion liquids upon doping.

Purpose of the Study:

  • To demonstrate that D-Mott and S-Mott phases are unified within a single topological phase.
  • To investigate the nature and robustness of the transition between these phases.
  • To explore the quantum analog of a terminable liquid-to-gas transition.

Main Methods:

  • Utilizing the variational uniform matrix-product state (VUMPS) formalism for infinite systems.
  • Employing the density-matrix renormalization group (DMRG) algorithm for finite systems.
  • Conducting analytical insights in a minimal model and a model-independent field-theoretical study.

Main Results:

  • The D-Mott and S-Mott phases are shown to be two facets of the same topological phase.
  • A terminable transition between these phases is identified, analogous to a liquid-to-gas transition.
  • The transition's order can vary between continuous and first-order, depending on interaction details, and is robust for weak couplings.

Conclusions:

  • The D-Mott and S-Mott phases represent a unified topological phase with a robust, terminable transition.
  • This quantum phase transition exhibits rich phenomenology, including variable order, offering new insights into quantum matter.
  • The findings are general, persisting across different models and interaction strengths, with implications for understanding topological phases.