### Abstract

We study the ground-state magnetism of the half-filled Hubbard model on the anisotropic triangular lattice, where two out of three bonds have hopping t and the third one has t′ in a unit triangle. Working in a spin-rotating frame and using the density matrix renormalization group method as an impurity solver, we provide a proper description of incommensurate magnetizations at zero temperature in the framework of the dynamical mean-field theory (DMFT). It is shown that the incommensurate spiral magnetic order for t′/t0.7 survives the dynamical fluctuations of itinerant electrons in the Hubbard interaction range from the strong-coupling (localized-spin) limit down to the insulator-to-metal transition. We also find that when the anisotropy parameter t′/t increases from the Néel-to-spiral transition, the magnitude of the magnetic moment exhibits a maximum at the isotropic triangular lattice point t′/t=1 and then rapidly decreases in the range of larger t′/t. This work gives a solid foundation for further extension of the study including nonlocal correlation effects neglected at the standard DMFT level.

Original language | English |
---|---|

Article number | 245145 |

Journal | Physical Review B - Condensed Matter and Materials Physics |

Volume | 94 |

Issue number | 24 |

DOIs | |

Publication status | Published - 2016 Dec 28 |

### Fingerprint

### ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics

### Cite this

*Physical Review B - Condensed Matter and Materials Physics*,

*94*(24), [245145]. https://doi.org/10.1103/PhysRevB.94.245145

**Incommensurate spiral magnetic order on anisotropic triangular lattice : Dynamical mean-field study in a spin-rotating frame.** / Goto, Shimpei; Kurihara, Susumu; Yamamoto, Daisuke.

Research output: Contribution to journal › Article

*Physical Review B - Condensed Matter and Materials Physics*, vol. 94, no. 24, 245145. https://doi.org/10.1103/PhysRevB.94.245145

}

TY - JOUR

T1 - Incommensurate spiral magnetic order on anisotropic triangular lattice

T2 - Dynamical mean-field study in a spin-rotating frame

AU - Goto, Shimpei

AU - Kurihara, Susumu

AU - Yamamoto, Daisuke

PY - 2016/12/28

Y1 - 2016/12/28

N2 - We study the ground-state magnetism of the half-filled Hubbard model on the anisotropic triangular lattice, where two out of three bonds have hopping t and the third one has t′ in a unit triangle. Working in a spin-rotating frame and using the density matrix renormalization group method as an impurity solver, we provide a proper description of incommensurate magnetizations at zero temperature in the framework of the dynamical mean-field theory (DMFT). It is shown that the incommensurate spiral magnetic order for t′/t0.7 survives the dynamical fluctuations of itinerant electrons in the Hubbard interaction range from the strong-coupling (localized-spin) limit down to the insulator-to-metal transition. We also find that when the anisotropy parameter t′/t increases from the Néel-to-spiral transition, the magnitude of the magnetic moment exhibits a maximum at the isotropic triangular lattice point t′/t=1 and then rapidly decreases in the range of larger t′/t. This work gives a solid foundation for further extension of the study including nonlocal correlation effects neglected at the standard DMFT level.

AB - We study the ground-state magnetism of the half-filled Hubbard model on the anisotropic triangular lattice, where two out of three bonds have hopping t and the third one has t′ in a unit triangle. Working in a spin-rotating frame and using the density matrix renormalization group method as an impurity solver, we provide a proper description of incommensurate magnetizations at zero temperature in the framework of the dynamical mean-field theory (DMFT). It is shown that the incommensurate spiral magnetic order for t′/t0.7 survives the dynamical fluctuations of itinerant electrons in the Hubbard interaction range from the strong-coupling (localized-spin) limit down to the insulator-to-metal transition. We also find that when the anisotropy parameter t′/t increases from the Néel-to-spiral transition, the magnitude of the magnetic moment exhibits a maximum at the isotropic triangular lattice point t′/t=1 and then rapidly decreases in the range of larger t′/t. This work gives a solid foundation for further extension of the study including nonlocal correlation effects neglected at the standard DMFT level.

UR - http://www.scopus.com/inward/record.url?scp=85009786087&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85009786087&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.94.245145

DO - 10.1103/PhysRevB.94.245145

M3 - Article

AN - SCOPUS:85009786087

VL - 94

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 0163-1829

IS - 24

M1 - 245145

ER -