Modelling Magnetic Fluctuations in the Stripe Ordered State

Abstract

The nature of the interplay between superconductivity and magnetism in the cuprates remains one of the fundamental unsolved problems in high temperature superconductivity. Whether and how these two phenomena are interdependent is perhaps most sharply seen in the stripe phases of various copper-oxide materials. These phases, involving a mixture of spin and charge density waves, do not yet admit a complete, overarching theoretical treatment. However aspects of this problem can be analyzed. In this work, we focus on the magnetic side of stripe physics. To this end, we study a simple model of a stripe-ordered phase consisting of an array of alternating coupled doped and undoped two-leg Hubbard-like ladders. To obtain the magnetic response, we employ already available dynamical susceptibilities of the individual two-leg ladders and treat the interladder coupling in a random phase approximation. Strikingly, we find two possible scenarios for the ordered state induced by the coupling between ladders: the spin modulation can occur either along or perpendicular to the direction of the stripes. These two scenarios are differentiated according to different microscopic realizations of the component doped ladders. However inelastic neutron scattering experiments on the two stripe ordered cuprates, La_{1.875}Ba_{0.125}CuO_4 and La_{2-x}Sr_xCuO_4, do not readily distinguish between these two scenarios due to manner in which stripes form in these materials.

24 pages, 8 figures

References in corpus (48)

• Spin waves and electronic interactions in La2CuO4
• Quantum Magnetic Excitations from Stripes in Copper-Oxide Superconductors
• Electronic liquid crystal state in the high-temperature superconductor YBCO(6.45)
• Spatially modulated "Mottness" in La2-xBaxCuO4
• A Phenomenological Theory of The Pseudogap State
• Evolution of the resonance and incommensurate spin fluctuations in superconducting YBa${}_2$Cu${}_3$O${}_{6+x}$
• Stripe order, depinning, and fluctuations in La${}_{1.875}$Ba${}_{0.125}$CuO${}_4$ and La${}_{1.875}$Ba${}_{0.075}$Sr${}_{0.050}$CuO${}_4$
• The Ground State of the Pseudogap in Cuprate Superconductors
• Spin dynamics in the pseudogap state of a high-temperature superconductor
• In-plane anisotropy of spin excitations in the normal and superconducting states of underdoped YBa${}_2$Cu${}_3$O${}_{6+x}$
• Static magnetic correlations near the insulating-superconducting phase boundary in La${}_{2-x}$Sr${}_x$CuO${}_4$
• Two-Dimensional Geometry of Spin Excitations in the High Temperature Superconductor YBa2Cu3O6+x
• The susceptibility and excitation spectrum of (VO)${}_2$P${}_2$O${}_7$ in ladder and dimer chain models
• One-dimensional nature of the magnetic fluctuations in YBa${}_2$Cu${}_3$O${}_{6.6}$
• Local Magnetic Order vs. Superconductivity in a Layered Cuprate
• Two energy scales in the spin excitations of the high-T_c superconductor La${}_{2-x}$Sr${}_x$CuO${}_4$
• Landau Theory of Stripe Phases in Cuprates and Nickelates
• Exact SO(8) Symmetry in the Weakly-Interacting Two-Leg Ladder
• Universal Dispersive Excitations in the High-Temperature Superconductors
• Modeling the Fermi arc in underdoped cuprates
• One- and Two-Triplon Spectra of a Cuprate Ladder
• Spin gap and magnetic coherence in a clean high-T_c superconductor
• Weakly coupled one-dimensional Mott insulators
• Unifying Magnons and Triplons in Stripe-Ordered Cuprate Superconductors
• Mechanism of High Temperature Superconductivity in a striped Hubbard Model
• Spin excitations in fluctuating stripe phases of doped cuprate superconductors
• Magnetic excitations in a bond-centered stripe phase: Spin waves far from the semi-classical limit
• Quasi-1D spin-1/2 Heisenberg magnets in their ordered phase: correlation functions
• Doped Spin Liquid: Luttinger Sum Rule and Low Temperature Order
• Evidence for an incommensurate magnetic resonance in La(2-x)Sr(x)CuO(4)
• Spectral Properties of Magnetic Excitations in Cuprate Two-Leg Ladder Systems
• Spin dynamics of stripes
• Properties of charge density waves in La${}_{2-x}$Ba${}_x$CuO${}_4$
• Stability of nodal quasi-particles in superconductors with coexisting orders
• Comparison of different ladder models
• Charge stripes seen with x-rays in La_(1.45)Nd_(0.4)Sr_(0.15)CuO_(4)
• Nodal quasi-particles and coexisting orders in striped superconductors
• Numerical Studies of the two-leg Hubbard ladder
• Distribution of spectral weight in a system with disordered stripes
• High-energy magnetic excitations from dynamic stripes in LBCO (x=1/8)
• Stripe as an effective one-dimensional band of composite excitations
• Heavy-fermion metals with hybridization nodes: Unconventional Fermi liquids and competing phases
• Dynamical Spin Response of Doped Two-Leg Hubbard-like Ladders
• Electronic properties of disordered valence-bond stripes in cuprate superconductors
• Magnetic Excitations of Stripes and Checkerboards in the Cuprates
• Fermi momentum resolved charge order for spin disordered stripes
• Stripes: Why hole rich lines are antiphase domain walls?
• Incompatibility of modulated checkerboard patterns with the neutron scattering resonance peak in cuprate superconductors

Cited by in corpus (12)

• Cuprate superconductors as viewed through a striped lens
• Disorder-induced freezing of dynamical spin fluctuations in underdoped cuprates
• Dynamic spin susceptibility of superconducting cuprates: A microscopic theory of the magnetic resonance mode
• Magnetic excitations in stripe-ordered La${}_{1.875}$Ba${}_{0.125}$CuO${}_4$ studied using resonant inelastic x-ray scattering
• A Field Theory for Fermionic Ladder with Generic Intrachain Interactions
• Boundary effects on the local density of states of one-dimensional Mott insulators and charge density wave states
• Superconductivity generated by coupling to a Cooperon in a 2-dimensional array of 4-leg Hubbard ladders
• Modeling a striped pseudogap state
• Predicting Excitonic Gaps of Semiconducting Single Walled Carbon Nanotubes From a Field Theoretic Analysis
• Energy-dependent crossover from anisotropic to isotropic magnetic dispersion in lightly-doped La1.96Sr0.04CuO4
• Magnetic field-induced soft mode in spin-gapped high-Tc superconductors
• Magnetic Excitations in the Site-Centered Stripe Phase: Spin Wave Theory of Coupled Three-Leg Ladders