Magnon dispersion and Single hole motion in 2D frustrated antiferromagnets with four-sublattice structures

Abstract

We study a two dimensional spin-$\frac{1}{2}$ $J_1-J_2$ antiferromagnet in a square lattice using the linearized spin wave theory recognizing the 4-sublattice nature of the underlying magnetic lattice. Multiple magnon modes with optical and acoustic branches about the stable Neel ordered and double acoustic branches about the columnar reference states are obtained for small and large values of $\lambda (=J_2/J_1)$ respectively. An additional uniaxial anisotropy, for large $\lambda$, can lead to distinct spin gaps in such systems, as also witnessed experimentally. The single hole spectral behavior in a 2D $t-J_1-J_2$ model, for small frustration, is then calculated within the non-crossing approximation. Our results match fairly well with exact diagonalization results from a $4\times 4$ cluster. Hole spectral features and their evolution with $\lambda$ resulting in "water-fall"-like smooth spectral weight transfer are discussed. Hole energy bands are identified and the corresponding energy-shift and reduction in width with spin-frustration are indicated.

References in corpus (21)

• Angle-resolved photoemission spectroscopy of the cuprate superconductors
• Ising and Spin orders in Iron-based Superconductors
• Li${}_2$VO(Si,Ge)O${}_4$, a prototype of a two-dimensional frustrated quantum Heisenberg antiferromagnet
• Fermi surface topology and low-lying quasiparticle dynamics of parent Fe${}_{1+x}$Te/Se Superconductor by orbital-polarization resolved ARPES
• Fermi surface topology and low-lying quasiparticle structure of magnetically ordered Fe1+xTe
• Low energy spin waves and magnetic interactions in SrFe${}_2$As${}_2$
• Magnetic and thermodynamic properties of Li(2)VOSiO(4): a two-dimensional S=1/2 frustrated antiferromagnet on a square lattice
• High energy spin excitations in BaFe2As2
• Orbital-selective superconductivity, gap anisotropy and spin resonance excitations in a multiorbital t-J1-J2 model for iron pnictides
• Magnetic Excitations in the High Tc Iron Pnictides
• Gapped spin liquid phase in the J1-J2 Heisenberg model by a Bosonic resonating valence-bond ansatz
• Very low-frequency excitations in frustrated two-dimensional $S=1/2$ Heisenberg antiferromagnets
• Quantum Phase Transition in the Frustrated Heisenberg Antiferromagnet
• Quantum fluctuations in high field magnetization of 2D square lattice J1-J2 antiferromagnets
• High energy kink in the dispersion of a hole in an antiferromagnet -- double-occupancy effects on electronic excitations
• Spin polaron in the J1-J2 Heisenberg model
• Quantum critical behavior driven by Hund's rule coupling in quantum antiferromagnets
• Finite temperature spectral function of a hole in a quantum antiferromagnet and role of phonons
• Magnetic and Quasiparticle Excitation Spectra of an Itinerant $J_1-J_2$ Model for Iron Pnictide Superconductors
• Hole spectral functions in lightly doped quantum antiferromagnets
• Spectroscopic fingerprints of the frustrated magnetic order in Li2VOSiO4: a t-J model study

Cited by in corpus (2)

• Magnons in a two dimensional transverse field XXZ model
• Edge state behavior in a Su-Schrieffer-Heeger like model with periodically modulated hopping