We analyze effective $d$ -wave interactions in the two-dimensional extended Hubbard model at weak coupling and small to moderate doping. The interactions are computed from a renormalization group flow. Attractive $d$ -wave interactions are generated via antiferromagnetic spin fluctuations in the pairing and charge channels. Above Van Hove filling, the $d$ -wave charge interaction is maximal at incommensurate diagonal wave vectors, corresponding to nematic fluctuations with a diagonal modulation. Below Van Hove filling a modulation along the crystal axes can be favored. The nematic fluctuations are enhanced by the nearest-neighbor interaction in the extended Hubbard model, but they always remain smaller than the dominant antiferromagnetic, pairing, or charge density wave fluctuations.We analyze effective $d$-wave interactions in the two-dimensional extended Hubbard model at weak coupling and small to moderate doping. The interactions are computed from a renormalization group flow. Attractive $d$-wave interactions are generated via antiferromagnetic spin fluctuations in the pairing and charge channels. Above Van Hove filling, the $d$-wave charge interaction is maximal at incommensurate diagonal wave vectors, corresponding to nematic fluctuations with a diagonal modulation. Below Van Hove filling a modulation along the crystal axes can be favored. The nematic fluctuations are enhanced by the nearest-neighbor interaction in the extended Hubbard model, but they always remain smaller than the dominant antiferromagnetic, pairing, or charge density wave fluctuations.

arXiv:1203.2887Physical Review BAug 10, 201252 citations

Spin-charge density waves in the Hubbard model

Hanyou Chu

Solid State CommunicationsDec 1, 19911 citation

Charge ordering in the extended Hubbard model

R. Pietig, Stefan Blawid, R. Bulla

Physica B Condensed MatterJan 1, 19990 citations

Valence-bond analysis of half-filled Hubbard chains with long-range interelectronic interactions and on-site energy alternation

Anna Painelli, Alberto Girlando

The extended Hubbard model with unscreened electron-electron interactions, modified to account for on-site energy alternation, is investigated through diagrammatic valence-bond technique. Exact results on finite-size systems are carefully extrapolated to the infinite-size system. The coupling of electrons to adiabatic phonons modulating on-site and on-bond energies is accounted for. The calculations give information on intrinsic site-charge-density-wave systems (e.g., mixed-stack charge-transfer crystals) but also allows one to investigate the site-charge-density-wave regime of an extended Hubbard chain without on-site energy alternation in the presence of electron-phonon coupling.The extended Hubbard model with unscreened electron-electron interactions, modified to account for on-site energy alternation, is investigated through diagrammatic valence-bond technique. Exact results on finite-size systems are carefully extrapolated to the infinite-size system. The coupling of electrons to adiabatic phonons modulating on-site and on-bond energies is accounted for. The calculations give information on intrinsic site-charge-density-wave systems (e.g., mixed-stack charge-transfer crystals) but also allows one to investigate the site-charge-density-wave regime of an extended Hubbard chain without on-site energy alternation in the presence of electron-phonon coupling.

Physical review. B, Condensed matterApr 15, 199211 citations

Weak-coupling Ground State Phase Diagram of the One-dimensional Extended Hubbard Model

Haiming Duan

By using the bosonization approach and renormalization group analysis,we study the ground state phase diagram of one-dimensional extended Hubbard model at half-filling in the regime where U and V are both positive but less than t, finding that the system shows three distinct ground states characterized by the spin-density-wave,the charge-density-wave and the bond-charge-density-wave,respectively.These results demonstrate that the ground state phases of the extended Hubbard model are not identical with those of the conventional Hubbard model.By using the bosonization approach and renormalization group analysis,we study the ground state phase diagram of one-dimensional extended Hubbard model at half-filling in the regime where U and V are both positive but less than t, finding that the system shows three distinct ground states characterized by the spin-density-wave,the charge-density-wave and the bond-charge-density-wave,respectively.These results demonstrate that the ground state phases of the extended Hubbard model are not identical with those of the conventional Hubbard model.

Shinjang dashösi ilmiy jurniliJan 1, 20070 citations

Observation of charge density wave correlations in the attractive Fermi-Hubbard model

Debayan Mitra, Peter Brown, Elmer Guardado-Sanchez +2 more

Bulletin of the American Physical SocietyJun 6, 20170 citations

We analyze effective

d

-wave interactions in the two-dimensional extended Hubbard model at weak coupling and small to moderate doping. The interactions are computed from a renormalization group flow. Attractive

d

-wave interactions are generated via antiferromagnetic spin fluctuations in the pairing and charge channels. Above Van Hove filling, the

d

-wave charge interaction is maximal at incommensurate diagonal wave vectors, corresponding to nematic fluctuations with a diagonal modulation. Below Van Hove filling a modulation along the crystal axes can be favored. The nematic fluctuations are enhanced by the nearest-neighbor interaction in the extended Hubbard model, but they always remain smaller than the dominant antiferromagnetic, pairing, or charge density wave fluctuations.