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Parameters Affecting Nonlinear Elimination: Zero-Order Input, First-Order Absorption and Two-Compartment Model01:13

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First Law: Particles in One-dimensional Equilibrium01:10

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Updated: May 14, 2026

Fabrication and Characterization of Disordered Polymer Optical Fibers for Transverse Anderson Localization of Light
09:19

Fabrication and Characterization of Disordered Polymer Optical Fibers for Transverse Anderson Localization of Light

Published on: July 29, 2013

Nonlocal order parameters for the 1D Hubbard model.

Arianna Montorsi1, Marco Roncaglia

  • 1Institute for Condensed Matter Physics and Complex Systems, DISAT, Politecnico di Torino, Corso Duca degli Abruzzi 24, I-10129 Torino, Italy.

Physical Review Letters
|February 2, 2013
PubMed
Summary
This summary is machine-generated.

We identified hidden order parameters in the 1D Hubbard model

Related Experiment Videos

Last Updated: May 14, 2026

Fabrication and Characterization of Disordered Polymer Optical Fibers for Transverse Anderson Localization of Light
09:19

Fabrication and Characterization of Disordered Polymer Optical Fibers for Transverse Anderson Localization of Light

Published on: July 29, 2013

Area of Science:

  • Condensed Matter Physics
  • Quantum Many-Body Systems
  • Strongly Correlated Electron Systems

Background:

  • The 1D Hubbard model is a fundamental model for understanding interacting electrons in one dimension.
  • Characterizing distinct phases like Mott insulators and Luther-Emery phases is crucial for condensed matter physics.
  • Identifying order parameters is key to understanding phase transitions.

Purpose of the Study:

  • To characterize the Mott-insulator and Luther-Emery phases in the 1D Hubbard model.
  • To identify novel, nonlocal order parameters for these gapped phases.
  • To explore the nature of particle excitations and their unbinding at the critical point.

Main Methods:

  • Utilizing correlators that measure the parity of spin and charge strings along the 1D chain.
  • Analyzing the behavior of these nonlocal quantities in different phases and at the critical point.
  • Developing an effective free spinless fermion model to capture the observed phenomena.

Main Results:

  • Discovered nonlocal parity correlators that order in the Mott-insulator and Luther-Emery phases.
  • These hidden order parameters vanish at the critical point U(c)=0.
  • Mott insulator phase comprises bound doublon-holon pairs, transitioning to unbound electron pairs in the Luther-Emery phase.

Conclusions:

  • Parity correlators serve as effective hidden order parameters for the 1D Hubbard model's gapped phases.
  • The study provides a new perspective on the nature of excitations and phase transitions.
  • An effective spinless fermion model successfully describes the behavior of these parity correlators.