Correlation effects on magnetic frustration in the triangular-lattice Hubbard model

Abstract

Evolution of the magnetic response function in the triangular-lattice Hubbard model is studied with interaction strength within a systematic inverse-degeneracy expansion scheme which incorporates self-energy and vertex corrections and explicitly preserves the spin-rotation symmetry. It is shown that at half filling the response function goes through a nearly dispersionless regime around K for intermediate coupling strength, before undergoing an inversion at strong coupling, resulting in maximum response at the K point, consistent with the expected 120^o AF instability. Effects of finite hole/electron doping on the magnetic response function are also examined.

20 pages, 9 figures

References in corpus (19)

• Long range Neel order in the triangular Heisenberg model
• U(1) Gauge Theory of the Hubbard Model : Spin Liquid States and Possible Application to k-(BEDT-TTF)_2 Cu_2 (CN)_3
• Exact spectra, spin susceptibilities and order parameter of the quantum Heisenberg antiferromagnet on the triangular lattice
• Non-perturbative many-body approach to the Hubbard model and single-particle pseudogap
• Similarities between organic and cuprate superconductors
• Nonmagnetic Insulating States near the Mott Transitions on Lattices with Geometrical Frustration and Implications for $\kappa$-(ET)${}_2$Cu${}_2(CN{)}_3$
• Spin Liquid States on the Triangular and Kagome Lattices: A Projective Symmetry Group Analysis of Schwinger Boson States
• Magnetic Order and Spin Dynamics in Ferroelectric HoMnO${}_3$
• Quasi two-dimensional antiferromagnet on a triangular lattice RbFe(MoO4)2
• Gapless quantum spin liquid, stripe and antiferromagnetic phases in frustrated Hubbard models in two dimensions
• Unconventional spin fluctuations in the hexagonal antiferromagnet YMnO${}_3$
• Magnetic and Metal-Insulator Transitions through Bandwidth Control in Two-Dimensional Hubbard Models with Nearest and Next-Nearest Neighbor Transfers
• The Mott Metal-Insulator transition in the half-filled Hubbard model on the Triangular Lattice
• Indications of a Metallic Antiferromagnetic Phase in the 2 Dimensional $U-t-t^{\prime }$ Model
• Finite-$U$ induced competing interactions, frustration, and quantum phase transition in a triangular-lattice antiferromagnet
• Ferromagnetism in the t-t' Hubbard model: interplay of lattice, band dispersion, and interaction effects studied within a Goldstone-mode preserving scheme
• Spin waves in a band ferromagnet: spin-rotationally symmetric study with self-energy and vertex corrections
• Hole and electron dynamics in the triangular-lattice antiferromagnet -- interplay of frustration and spin fluctuations
• Anisotropic Hubbard model on a triangular lattice -- spin dynamics in Ho Mn O_3

Cited by in corpus (2)

• Magnetic excitations, phase diagram and order-by-disorder in the extended triangular-lattice Hubbard model
• Search for Ferromagnetism in doped semiconductors in the absence of transition metal ions