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Variational study of the interacting, spinless Su-Schrieffer-Heeger model.

M Yahyavi1, L Saleem1, B Hetényi1,2

  • 1Department of Physics, Bilkent University, TR-06800 Bilkent, Ankara, Turkey.

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|September 13, 2018
PubMed
Summary

This study explores the Su-Schrieffer-Heeger model, revealing how electron interactions alter its phase diagram and polarization. Correlations can break chiral symmetry, influencing transitions between metallic and insulating states.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Materials
  • Solid State Theory

Background:

  • The Su-Schrieffer-Heeger (SSH) model describes 1D materials with alternating bonds.
  • Understanding its phase diagram and polarization is crucial for novel electronic properties.
  • Nearest neighbor interactions and alternating hopping are key parameters influencing material behavior.

Purpose of the Study:

  • To investigate the phase diagram and total polarization distribution of the 1D SSH model.
  • To analyze the impact of nearest neighbor interactions on electronic transitions.
  • To explore how correlations affect chiral symmetry and polarization behavior.

Main Methods:

  • Extended Baeriswyl variational wave function to incorporate alternating hopping parameters.
  • Comparison of variational wave function energies with exact diagonalization results.
  • Calculation of gauge-invariant cumulants (Zak phase) to reconstruct polarization distribution.

Main Results:

  • Identified a conductor-to-insulator transition at a lower interaction strength than previously known.
  • The phase diagram exhibits similarities to the Kane-Mele-Hubbard model.
  • Polarization changes discontinuously when crossing a metallic phase line, but smoothly through insulating states.

Conclusions:

  • Electron correlations in the SSH model can break chiral symmetry, analogous to adding a Rice-Mele potential.
  • The method provides a robust way to study polarization and phase transitions in 1D systems.
  • Findings offer insights into topological phase transitions and symmetry breaking in correlated electron systems.