Charge density waves on a half-filled decorated honeycomb lattice
- Univ. of California, Davis, CA (United States)
- Beihang University, Beijing (China)
Tight binding models like the Hubbard Hamiltonian are most often explored in the context of uniform intersite hopping $$\textit{t}$$. The electron-electron interactions, if sufficiently large compared to this translationally invariant $$\textit{t}$$, can give rise to ordered magnetic phases and Mott insulator transitions, especially at commensurate filling. The more complex situation of nonuniform $$\textit{t}$$ has been studied within a number of situations, perhaps most prominently in multiband geometries where there is a natural distinction of hopping between orbitals of different degree of overlap. In this paper we explore related questions arising from the interplay of multiple kinetic energy scales and electron-phonon interactions. Specifically, we use determinant quantum Monte Carlo (DQMC) to solve the half-filled Holstein Hamiltonian on a “decorated honeycomb lattice,” consisting of hexagons with internal hopping $$\textit{t}$$ coupled together by $$\textit{t'}$$. This modulation of the hopping introduces a gap in the Dirac spectrum and affects the nature of the topological phases. Here, we determine the range of $$\textit{t/t'}$$ values which support a charge density wave phase about the Dirac point of uniform hopping $$\textit{t = t'}$$, as well as the critical transition temperature $$T_c$$. The QMC simulations are compared with the results of mean field theory.
- Research Organization:
- Univ. of California, Davis, CA (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC); National Natural Science Foundation of China (NSFC)
- Grant/Contract Number:
- SC0014671; 11774019
- OSTI ID:
- 1802700
- Journal Information:
- Physical Review B, Vol. 101, Issue 20; ISSN 2469-9950
- Publisher:
- American Physical Society (APS)Copyright Statement
- Country of Publication:
- United States
- Language:
- English
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