Fermi-liquid based theory for the in-plane magnetic anisotropy in untwinned high-T${}_c$ superconductors

Abstract

Using a generalized RPA-type theory we calculate the in-plane anisotropy of the magnetic excitations in hole-doped high-$T_c$ superconductors. Extending our earlier Fermi-liquid based studies on the resonance peak by inclusion of orthorhombicity we still find two-dimensional spin excitations, however, being strongly anisotropic. This reflects the underlying anisotropy of the hopping matrix elements and of the resultant superconducting gap function. We compare our calculations with new experimental data on {\it fully untwinned} ${YBa}_2{Cu}_3{O}_{6.85}$ and find good agreement. Our results are in contrast to earlier interpretations on the in-plane anisotropy in terms of stripes (H. Mook {\it et al.}, Nature {\bf 404}, 729 (2000)), but reveal a conventional solution to this important problem.

5 pages, 6 figures

References in corpus (17)

• How to detect fluctuating order in the high-temperature superconductors
• The Spin Excitation Spectrum in Superconducting $\mathbf{YB}{\mathbf{a}}_2\mathbf{C}{\mathbf{u}}_3{\mathbf{O}}_{6.85}$
• Two-Dimensional Geometry of Spin Excitations in the High Temperature Superconductor YBa2Cu3O6+x
• One-dimensional nature of the magnetic fluctuations in YBa${}_2$Cu${}_3$O${}_{6.6}$
• Soft Fermi Surfaces and Breakdown of Fermi Liquid Behavior
• Spin Susceptibility in Underdoped $\mathbf{YB}{\mathbf{a}}_2\mathbf{C}{\mathbf{u}}_3{\mathbf{O}}_{6+\mathbf{x}}$
• Superconducting Gap and Strong In-Plane Anisotropy in Untwinned YBa2Cu3O7-d
• Unifying Magnons and Triplons in Stripe-Ordered Cuprate Superconductors
• The neutron resonance in the cuprates and its effect on fermionic excitations
• Magnetic excitations in a bond-centered stripe phase: Spin waves far from the semi-classical limit
• Magnetic Collective Mode Dispersion in High Temperature Superconductors
• Analysis of the resonance peak and magnetic coherence seen in inelastic neutron scattering of cuprate superconductors: a consistent picture with tunneling and conductivity data
• Magnetic fluctuations and resonant peak in cuprates: a microscopic theory
• Where is the pi particle?
• Analysis of the elementary excitations in high-T_c cuprates: explanation of the new energy scale observed by ARPES
• Renormalization of the elementary excitations in hole- and electron-doped cuprates due to spin fluctuations
• Doping dependence of the resonance peak and incommensuration in high-$T_c$ superconductors

Cited by in corpus (17)

• Lattice symmetry breaking in cuprate superconductors: Stripes, nematics, and superconductivity
• Magnetic excitations and their anisotropy in YBCO: slave-boson mean-field analysis of bilayer t-J model
• Doping dependence of spin excitations in the stripe phase of high-Tc superconductors
• Odd and even magnetic resonant modes in highly overdoped Bi_2 Sr_2 Ca Cu_2 O_{8+delta}
• A resonant inelastic x-ray scattering study of the spin and charge excitations in the overdoped superconductor La1.77Sr0.23CuO4
• Electronic and phononic Raman scattering in detwinned YBa${}_2$Cu${}_3$O${}_{6.95}$ and Y${}_{0.85}$Ca${}_{0.15}$Ba${}_2$Cu${}_3$O${}_{6.95}$: s-wave admixture to the $d_{x^2-y^2}$-wave order parameter
• Anisotropic spin and charge excitations in superconductors: signature of electronic nematic order
• Theory for Inelastic Neutron Scattering in Orthorhombic High-Tc Superconductors
• Tendencies toward nematic order in YBa2Cu3O6+x: Uniform distortion vs. incipient charge stripes
• Anisotropy of incommensurate spin and charge fluctuations in detwinned YBa${}_2$Cu${}_3$O${}_{6+\delta }$
• Spin susceptibility of underdoped cuprates: the case of Ortho-II YBa_2Cu_3O_{6.5}
• London penetration depth in the tight binding approximation: Orthorhombic distortion and oxygen isotope effects in cuprates
• Phenomenological theory of spin excitations in La- and Y-based cuprates
• Difficulty in the Fermi-Liquid-Based Theory for the In-Plane Magnetic Anisotropy in Untwinned High-T_c Superconductor
• Spin dynamics of possible density wave states in the pseudogap phase of the high temperature superconductors
• Reply to 'Difficulty in the Fermi-Liquid-Based Theory for the In-Plane Magnetic Anisotropy in Untwinned High-$T_c$ Superconductors'
• Tunable striped-patterns by lattice anisotropy and magnetic impurities in d-wave superconductors