The One-Dimensional Bose–Fermi–Hubbard Model in the Limit of Fast Fermions
Mering A, Fleischhauer M (2019)
Publication Type: Journal article
Publication year: 2019
Journal
Book Volume: 256
Article Number: 1900256
Journal Issue: 9
Abstract
The authors discuss the ground-state phase diagram of the one-dimensional Bose–Fermi–Hubbard model (BFHM) in the limit of fast fermions based on an effective boson model. The authors give a detailed derivation of the effective model with long-range Rudermann–Kittel–Kasuya–Yosida (RKKY)-type interactions, discuss its range of validity, and provide a deeper insight into its implications. In particular, they show that integrating out the fast fermion degrees of freedom in a naive way results in an ill-behaved effective Hamiltonian and a proper renormalization is required. Based on the effective Hamiltonian, the phase diagram in the thermodynamic limit is constructed by analytic means and is compared to numerical results obtained by density matrix renormalization group (DMRG) techniques for the full BFHM. The most prominent feature of the phase diagram, the existence of a phase separation between Mott insulator (MI) and charge density wave (CDW) is discussed in depth including boundary effects.
Involved external institutions
Germany (DE)How to cite
APA:
Mering, A., & Fleischhauer, M. (2019). The One-Dimensional Bose–Fermi–Hubbard Model in the Limit of Fast Fermions. physica status solidi (b), 256(9). https://dx.doi.org/10.1002/pssb.201900256
MLA:
Mering, Alexander, and Michael Fleischhauer. "The One-Dimensional Bose–Fermi–Hubbard Model in the Limit of Fast Fermions." physica status solidi (b) 256.9 (2019).
BibTeX: Download