Journal article

Publication year: 2020

Journal: Physical Review D

Volume number: 102

Issue number: 5

ISSN: 1550-7998

eISSN: 1550-2368

Open access status: Hybrid

DOI Link: https://doi.org/10.1103/PhysRevD.102.054502

Publisher: American Physical Society

Abstract: 
We apply the linear logarithmic relaxation (LLR) method, which generalizes the Wang-Landau algorithm to quantum systems with continuous degrees of freedom, to the fermionic Hubbard model with repulsive interactions on the honeycomb lattice. We compute the generalized density of states of the average Hubbard field and devise two reconstruction schemes to extract physical observables from this result. By computing the particle density as a function of chemical potential we assess the utility of LLR in dealing with the sign problem of this model, which arises away from half filling. We show that the relative advantage over brute-force reweighting grows as the interaction strength is increased and discuss possible future improvements.

Harvard Citation style: Koerner, M., Langfeld, K., Smith, D. and von Smekal, L. (2020) Density of states approach to the hexagonal Hubbard model at finite density, Physical Review D, 102(5), Article 054502. https://doi.org/10.1103/PhysRevD.102.054502

APA Citation style: Koerner, M., Langfeld, K., Smith, D., & von Smekal, L. (2020). Density of states approach to the hexagonal Hubbard model at finite density. Physical Review D. 102(5), Article 054502. https://doi.org/10.1103/PhysRevD.102.054502