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Phase diagram of the Su-Schrieffer-Heeger-Hubbard model on a square lattice

Journal Article · · Physical Review. B
 [1];  [2];  [2];  [3];  [4]
  1. Univ. of California, Davis, CA (United States); UC Davis
  2. Singapore Univ. of Technology and Design (Singapore)
  3. Univ. of California, Davis, CA (United States)
  4. Univ. Côte d'Azur, Nice (France); National Univ. of Singapore (Singapore); Beijing Computational Science Research Center (China)
+ Show Author Affiliations
The Hubbard and Su-Schrieffer-Heeger (SSH) Hamiltonians are iconic models for understanding the qualitative effects of electron-electron and electron-phonon interactions, respectively. In the two-dimensional square lattice Hubbard model at half filling, the on-site Coulomb repulsion U between up and down electrons induces antiferromagnetic (AFM) order and a Mott insulating phase. On the other hand, for the SSH model, there is an AFM phase when the electron-phonon coupling λ is less than a critical value λc and a bond order wave when λ > λc. In this Letter, we perform numerical studies on the square lattice optical Su-Schrieffer-Heeger-Hubbard Hamiltonian, which combines both interactions. We use the determinant quantum Monte Carlo method which does not suffer from the fermionic sign problem at half filling. We map out the phase diagram and find that it exhibits a direct first-order transition between an antiferromagnetic phase and a bond-ordered wave as λ increases. Here, the AFM phase is characterized by two different regions. At smaller λ the behavior is similar to that of the pure Hubbard model; the other region, while maintaining long-range AFM order, exhibits larger kinetic energies and double occupancy, i.e., larger quantum fluctuations, similar to the AFM phase found in the pure SSH model.
Research Organization:
Univ. of California, Davis, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
SC0014671
OSTI ID:
1959283
Journal Information:
Physical Review. B, Journal Name: Physical Review. B Journal Issue: 8 Vol. 106; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
Electron-phonon coupling
Lattice models in condensed matter
Quantum Monte Carlo
Strongly correlated systems