Condensation of magnons and spinons in a frustrated ladder

Abstract

Motivated by the ever-increasing experimental effort devoted to the properties of frustrated quantum magnets in a magnetic field, we present a careful and detailed theoretical analysis of a one-dimensional version of this problem, a frustrated ladder with a magnetization plateau at m=1/2. We show that even for purely isotropic Heisenberg interactions, the magnetization curve exhibits a rather complex behavior that can be fully accounted for in terms of simple elementary excitations. The introduction of anisotropic interactions (e.g., Dzyaloshinskii-Moriya interactions) modifies significantly the picture and reveals an essential difference between integer and fractional plateaux. In particular, anisotropic interactions generically open a gap in the region between the plateaux, but we show that this gap closes upon entering fractional plateaux. All of these conclusions, based on analytical arguments, are supported by extensive Density Matrix Renormalization Group calculations.

15 pages, 15 figures. minor changes in text

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• Phase diagram of the frustrated spin ladder
• Magnetization Jump in the Magnetization Process of the spin-1/2 Heisenberg Antiferromagnet on a Distorted Square-Kagome Lattice
• Field-induced quantum soliton lattice in a frustrated two-leg spin-1/2 ladder
• Frustration-induced quantum phase transitions in a quasi-one-dimensional ferrimagnet: Hard-core boson map and the Ton ks-Girardeau limit
• Frustrated quantum Heisenberg antiferromagnets at high magnetic fields: Beyond the flat-band scenario
• Unified Phase Diagram of Antiferromagnetic SU(N) Spin Ladders
• Frustration induced plateaux in S>=1/2 Heisenberg spin ladders
• On the dimerized phase in the cross-coupled antiferromagnetic spin ladder
• Ising phases of Heisenberg ladders in a magnetic field
• The square-kagome quantum Heisenberg antiferromagnet at high magnetic fields: The localized-magnon paradigm and beyond
• Destruction of valence-bond order in a $S=1/2$ sawtooth chain with a Dzyaloshinskii-Moriya term
• Magnetic phase diagram of a spin S=1/2 antiferromagnetic two-leg ladder in the presence of modulated along legs Dzyaloshinskii-Moriya interaction
• Antiferromagnetic ordering of energy levels for spin ladder with four-spin cyclic exchange: Generalization of the Lieb-Mattis theorem
• Semiquantitative theory for high-field low-temperature properties of a distorted diamond spin chain
• Magnetic phase separation in a frustrated ferrimagnetic chain under a magnetic field
• Magnetization plateaux and jumps in a frustrated four-leg spin tube under a magnetic field
• Magnetic field induced bound states in spin-$\frac{1}{2}$ ladders
• Topological to magnetically ordered quantum phase transition in antiferromagnetic spin ladders with long-range interactions
• Energy-level ordering and ground-state quantum numbers for frustrated two-leg spin-1/2 ladder model
• Fractional charge and emergent mass hierarchy in diagonal two-leg t-J cylinders
• Quantum bicritical point and phase separation in a frustrated Heisenberg ladder
• Coexistence of spontaneous dimerization and magnetic order in a transverse-field Ising ladder with four-spin interactions
• Two Coupled Chains are Simpler than One: Field-induced Chirality in a Frustrated Quantum Spin Ladder
• Quantum Heisenberg antiferromagnet on low-dimensional frustrated lattices
• Magnetization process in a frustrated plaquette dimerized ladder
• Floating Phases in One-Dimensional Rydberg Ising Chains
• Groundstate fidelity phase diagram of the fully anisotropic two-leg spin-1/2 XXZ ladder
• Magnon Bose-Einstein Condensation and Superconductivity in a Frustrated Kondo Lattice
• Strong-coupling expansion and effective hamiltonians
• Motion of Bound Domain Walls in a Spin Ladder
• Frustrated mixed-spin ladders: Evidence for a bond order wave phase between rung-singlet and Haldane phases
• Edge currents in frustrated Josephson junction ladders
• Topological to magnetically ordered quantum phase transition in antiferromagnetic spin ladders with long-range interactions