Magnetic excitations in magnetization plateaux of a frustrated spin ladder

Abstract

Magnetization plateaux emerging in quantum spin systems due to spontaneously breaking of translational symmetry have been reported both theoretically and experimentally. The broken symmetry can induce reconstruction of elementary excitations such as Goldstone and Higgs modes, whereas its microscopic mechanism and reconstructed quasi-particle in magnetization-plateau phases have remained unclear so far. Here we theoretically study magnetic excitations in the magnetization-plateau phases of a frustrated spin ladder by using dynamical density-matrix renormalization-group method. Additionally, analytical approaches with perturbation theory are performed to obtain intuitive view of magnetic excitations. Comparison between numerical and analytical results indicates the presence of a reconstructed quasi-particle originating from spontaneously broken translational symmetry, which is realized as a collective mode of spin trimer called trimeron.

arXiv comment10 pages, 7 figures

References in corpus (28)

• The density-matrix renormalization group
• Magnetization plateaus in spin chains: ``Haldane gap'' for half-integer spins
• Dynamical density-matrix renormalization-group method
• Coupled Ladders in a Magnetic Field
• Magnetic Superstructure in the Two-Dimensional Quantum Antiferromagnet SrCu2(BO3)2
• Observation of spin current in quantum spin liquid
• Magnetic phase diagram of the S=1/2 antiferromagnetic zigzag spin chain in the strongly frustrated region: cusp and plateau
• Bridging frustrated-spin-chain and spin-ladder physics: quasi-one-dimensional magnetism of BiCu2PO6
• Direct observation of the Higgs amplitude mode in a two-dimensional quantum antiferromagnet near the quantum critical point
• Spin-gap behaviour in the 2-leg spin-ladder BiCu2PO6
• Quasiparticle-continuum level repulsion in a quantum magnet
• Fractional S^z excitation and its bound state around the 1/3 plateau of the S=1/2 Ising-like zigzag XXZ chain
• Melting of a frustration-induced dimer crystal and incommensurability in the J_1-J_2 two-leg ladder
• Field induced spontaneous quasiparticle decay and renormalization of quasiparticle dispersion in a quantum antiferromagnet
• Field-induced quantum soliton lattice in a frustrated two-leg spin-1/2 ladder
• Incommensurate dynamic correlations in the quasi-two-dimensional spin liquid BiCu2PO6
• Density matrix renormalization group study of optical conductivity in the one-dimensional Mott insulator Sr_2CuO_3
• Theory of triplon dynamics in the quantum magnet BiCu${}_2$PO${}_6$
• Magnetization Plateaux by Reconstructed Quasi-spinons in a Frustrated Two-Leg Spin Ladder under a Magnetic Field
• Double zigzag spin chain in strong magnetic field close to saturation
• Minimal model for the frustrated spin ladder system BiCu${}_2$PO${}_6$
• The Higgs Mode of Planar Coupled Spin-Ladders and its Observation in C${}_9$H${}_{18}$N${}_2$CuBr${}_4$
• Spinon excitation spectra of the $J_1$-$J_2$ chain from analytical calculations in the dimer basis and exact diagonalization
• Frustration effect on magnetic excitations in a two-leg spin-ladder system
• Magnetic Phase Diagram of Frustrated Spin Ladder
• Thermal Conductivity in the Frustrated Two-Leg Spin-Ladder System BiCu2PO6
• Fractional S^z excitation and its bound state for the S=1/2 antiferromagnetic zigzag spin chain in a magnetic field
• Triplet excitations in the frustrated spin ladder Li${}_2$Cu${}_2$O(SO${}_4$)${}_2$

Cited by in corpus (4)

• Translational symmetry broken magnetization plateau of the S=1 antiferromagnetic Heisenberg chain with competing anisotropies
• Translational-Symmetry-Broken Magnetization Plateaux of the $S=3/2$ Anisotropic Antiferromagnetic Chain
• Frustrated mixed-spin ladders: Evidence for a bond order wave phase between rung-singlet and Haldane phases
• Quantum Phase Transitions in Skewed Ladder Systems