Charge density wave order on a $\textit{π}$-flux square lattice

Zhang, Y.-X.; Guo, H.-M.; Scalettar, R. T.

doi:10.1103/physrevb.101.205139

Title: Charge density wave order on a $$\textit{π}$$-flux square lattice

Journal Article · Thu May 21 00:00:00 EDT 2020 · Physical Review B

DOI:https://doi.org/10.1103/physrevb.101.205139· OSTI ID:1802701

^[1]; Guo, H.-M. ^[2]; Scalettar, R. T. ^[1]

Univ. of California, Davis, CA (United States)
Beihang University, Beijing (China)

The effect of electron-phonon coupling on Dirac fermions was recently explored numerically on a honeycomb lattice, leading to precise quantitative values for the finite temperature and quantum critical points. In this paper, we use the unbiased determinant quantum Monte Carlo method to study the Holstein model on a half-filled staggered-flux square lattice and compare the results with the honeycomb lattice geometry, presenting results for a range of phonon frequencies 0.1 ≤ $$\omega$$ ≤ 2.0. In this work, we find that the interactions give rise to charge density wave order, but only above a finite coupling strength $$\gamma_{\text{crit}}$$. The transition temperature is evaluated and presented in a $$T_{c^{–λ}}$$ phase diagram. An accompanying mean-field theory calculation also predicts the existence of a quantum phase transition, but at a substantially smaller coupling strength.

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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:: 1802701

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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