Anisotropic excitonic magnetism from discrete ${\mathrm{C}}_4$ symmetry in CeRhIn${}_5$

Abstract

Anisotropy in strongly correlated materials is a central parameter in determining the electronic ground state and is tuned through the local crystalline electric field. This is notably the case in the CeCo${}_x$Rh${}_{1-x}$In${}_5$ system where the ground-state wave function can provide the basis for antiferromagnetism and/or unconventional superconductivity. We develop a methodology to understand the local magnetic anisotropy and experimentally investigate with neutron spectroscopy applied to antiferromagnetic ($T_N$=3.8 K) CeRhIn${}_5$ which is isostructural to $d$-wave superconducting ($T_c$=2.3 K) CeCoIn${}_5$. Through diagonalizing the local crystal field Hamiltonian with discrete tetragonal ${\mathrm{C}}_4$ point group symmetry and coupling these states with the Random Phase Approximation (RPA), we find two distinct modes polarized along the crystallographic $c$ and $a-b$ planes, agreeing with experiment. The anisotropy and bandwidth, underlying the energy scale of these modes, are tuneable with a magnetic field which we use experimentally to separate in energy single and multiparticle excitations thereby demonstrating the instability of excitations polarized within the crystallographic $a-b$ plane in CeRhIn${}_5$. We compare this approach to a $S_{eff}=\frac{1}{2}$ parameterizations and argue for the need to extend conventional SU(2) theories of magnetic excitations to utilize the multi-level nature of the underlying crystal-field basis states constrained by the local point-group ${\mathrm{C}}_4$ symmetry.

arXiv comment(17 pages, 8 figures, to be published in Physical Review B)

References in corpus (52)

• The Puzzle of High Temperature Superconductivity in Layered Iron Pnictides and Chalcogenides
• Heavy-fermion superconductivity in CeCoIn5 at 2.3K
• Superconductivity near 80 Kelvin in single crystals of La3Ni2O7 under pressure
• Antiferromagnetic order and spin dynamics in iron-based superconductors
• Superconducting phases of f-electron compounds
• Linear spin wave theory for single-Q incommensurate magnetic structures
• Angular Position of Nodes in the Superconducting Gap of Quasi-2D Heavy-Fermion Superconductor CeCoIn_5
• The remarkable underlying ground states of cuprate superconductors
• Spin resonance in the d-wave superconductor CeCoIn5
• SU(4) Theory for Spin Systems with Orbital Degeneracy
• Magnetically driven superconductivity in CeCu2Si2
• Incommensurate magnetic structure of CeRhIn5
• Field-angle Dependence of the Zero-Energy Density of States in the Unconventional Heavy-Fermion Superconductor CeCoIn5
• Electronic in-plane symmetry breaking at field-tuned quantum criticality in CeRhIn5
• Feedback spin resonance in superconducting CeCu${}_2$Si${}_2$ and CeCoIn${}_5$
• Non-resonant inelastic x-ray scattering involving excitonic excitations
• Field Evolution of Coexisting Superconducting and Magnetic Orders in CeCoIn${}_5$
• Magnetic structure of Cd-doped CeCoIn5
• Crystal-field and Kondo scale investigation of CeMIn5 (M=Co, Ir and Rh): a combined x-ray absorption and inelastic neutron study
• Correlation between the phase diagram and the crystal-field wave functions of CeRh(1-x)Ir(x)In5
• Magnetic Structure of Heavy Fermion Ce2RhIn8
• Two-magnon excitations observed by neutron scattering in the two-dimensional spin-5/2 Heisenberg antiferromagnet Rb2MnF4
• Magnetic field splitting of the spin-resonance in CeCoIn5
• Electronic Duality in Strongly Correlated Matter
• Generalized spin-wave theory: application to the bilinear-biquadratic model
• Neutron scattering study of cyrstal fields in CeRhIn5
• Order by virtual crystal field fluctuations in pyrochlore XY antiferromagnets
• Magnetic structure of CeRhIn${}_5$ under magnetic field
• The magnitude of the magnetic exchange interaction in the heavy fermion antiferromagnet CeRhIn${}_5$
• Classical spin dynamics based on SU($N$) coherent states
• Robust Upward Dispersion of the Neutron Spin Resonance in the Heavy Fermion Superconductor Ce${}_{1-x}$Yb${}_x$CoIn${}_5$
• Spin-Orbit Excitons in CoO
• Electronic tuning and uniform superconductivity in CeCoIn5
• Exploring the fragile antiferromagnetic superconducting phase in CeCoIn5
• Neutron scattering measurements of $dd$ and spin-orbit excitations below the Mott-Hubbard gap in CoO
• Probing high-energy electronic excitations using inelastic neutron scattering
• Evolution of the spin resonance in CeCoIn${}_5$ under magnetic field
• Ambient-pressure bulk superconductivity deep in the magnetic state of CeRhIn5
• Single to multi quasiparticle excitations in the itinerant helical magnet CeRhIn${}_5$
• Disentangling orbital and spin exchange interactions for Co${}^{2+}$ on a rocksalt lattice
• Magnetotransport of CeRhIn5
• Tunable Emergent Heterostructures in a Prototypical Correlated Metal
• Orbital character of the spin-reorientation transition in TbMn${}_6$Sn${}_6$
• Nature of the spin resonance mode in CeCoIn${}_5$
• From Ising resonant fluctuations to static uniaxial order in antiferromagnetic and weakly superconducting CeCo(In${}_{1-x}$Hg${}_x$)${}_5$ ($x$=0.01)
• Van Vleck excitons in Ca${}_2$RuO${}_4$
• Orientation of ground-state orbital in CeCoIn${}_5$ and CeRhIn${}_5$
• SU($N$) spin-wave theory: Application to spin-orbital Mott insulators
• Metastable antiphase boundary ordering in CaFe${}_2$O${}_4$
• Spin-orbital correlations from complex orbital order in MgV${}_2$O${}_4$
• Excitonic transverse and amplitude fluctuations in the noncollinear and charge-ordered RbFe${}^{2+}$Fe${}^{3+}$F${}_6$
• Neutron scattering sum rules, symmetric exchanges, and helicoidal magnetism in MnSb${}_2$O${}_6$

Cited by in corpus (2)

• Zeeman split Kramers doublets in spin-supersolid candidate Na${}_2$BaCo(PO${}_4$)${}_2$
• Magnetic field tuned superconducting and normal phase magnetism in CeCo${}_{0.5}$Rh${}_{0.5}$In${}_5$