Bridging frustrated-spin-chain and spin-ladder physics: quasi-one-dimensional magnetism of BiCu2PO6

Abstract

We derive and investigate the microscopic model of the quantum magnet BiCu2PO6 using band structure calculations, magnetic susceptibility and high-field magnetization measurements, as well as ED and DMRG techniques. The resulting quasi-one-dimensional spin model is a two-leg AFM ladder with frustrating next-nearest-neighbor couplings along the legs. The individual couplings are estimated from band structure calculations and by fitting the magnetic susceptibility with theoretical predictions, obtained using ED. The nearest-neighbor leg coupling J1, the rung coupling J4, and one of the next-nearest-neighbor couplings J2 amount to 120-150 K, while the second next-nearest-neighbor coupling is J2'~J2/2. The spin ladders do not match the structural chains, and although the next-nearest-neighbor interactions J2 and J2' have very similar superexchange pathways, they differ substantially in magnitude due to a tiny difference in the O-O distances and in the arrangement of non-magnetic PO4 tetrahedra. An extensive ED study of the proposed model provides the low-energy excitation spectrum and shows that the system is in the strong rung coupling regime. The strong frustration by the next-nearest-neighbor couplings leads to a triplon branch with an incommensurate minimum. This is further corroborated by a strong-coupling expansion up to second order in the inter-rung coupling. Based on high-field magnetization measurements, we estimate the spin gap of 32 K and suggest the likely presence of antisymmetric DM anisotropy and inter-ladder coupling J3. We also provide a tentative description of the physics of BiCu2PO6 in magnetic field, in the light of the low-energy excitation spectra and numerical calculations based on ED and DMRG. In particular, we raise the possibility for a rich interplay between one- and two-component Luttinger liquid phases and a magnetization plateau at 1/2 of the saturation value.

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• Peculiar long-range superexchange in Cu2A2O7 (A = P, As, V) as a key element of the microscopic magnetic model
• Magnetic transitions in the spin S=5/2 frustrated magnet BiMn2PO6 and strong lattice softening in BiMn2PO6 and BiZn2PO6 below 200 K
• Melting of a frustration-induced dimer crystal and incommensurability in the J_1-J_2 two-leg ladder
• Magnetic frustration in BaCuSi2O6 released
• Frustrated couplings between alternating spin-1/2 chains in AgVOAsO4
• Giant magnetic-field dependence of the coupling between spin Tomonaga-Luttinger liquids in BaCo2V2O8
• Hindered magnetic order from mixed dimensionalities in CuP${}_2$O${}_6$
• Field-induced quantum soliton lattice in a frustrated two-leg spin-1/2 ladder
• Magnetism of CuX2 frustrated chains (X = F, Cl, Br): the role of covalency
• Incommensurate dynamic correlations in the quasi-two-dimensional spin liquid BiCu2PO6
• Superposition of ferromagnetic and antiferromagnetic spin chains in the quantum magnet BaAg2Cu[VO4]2
• Two energy scales of spin dimers in clinoclase Cu3(AsO4)(OH)3
• Finite-momentum Bose-Einstein condensates in shaken 2D square optical lattices
• Evidence for Dimer Crystal Melting in the Frustrated Spin-Ladder BiCu2PO6
• CaCu2(SeO3)2Cl2: spin-1/2 Heisenberg chain compound with complex frustrated interchain couplings
• 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
• Non-trivial topology of the quasi-one-dimensional triplons in the quantum antiferromagnet ${\text{BiCu}}_2{\text{PO}}_6$
• Magnetic responses of randomly depleted spin ladders
• Double zigzag spin chain in strong magnetic field close to saturation
• Minimal model for the frustrated spin ladder system BiCu${}_2$PO${}_6$
• Detecting End-States of Topological Quantum Paramagnets via Spin Hall Noise Spectroscopy
• Frustration effect on magnetic excitations in a two-leg spin-ladder system
• Magnetic Phase Diagram of Frustrated Spin Ladder
• Magnetocaloric effect in the spin-$1/2$ chain with competing interactions
• Magnetic excitations in magnetization plateaux of a frustrated spin ladder
• Defect-induced spin-glass magnetism in incommensurate spin-gap magnets
• Two Coupled Chains are Simpler than One: Field-induced Chirality in a Frustrated Quantum Spin Ladder
• Thermal Conductivity in the Frustrated Two-Leg Spin-Ladder System BiCu2PO6
• Honeycomb Heisenberg Spin Ladder: Unusual Ground State and Thermodynamic Properties
• Low-energy spin excitations in field-induced phases of the spin-ladder antiferromagnet BiCu${}_2$PO${}_6$
• Interacting triplons in frustrated spin ladders: Binding and decay in BiCu${}_2$PO${}_6$
• Triplet excitations in the frustrated spin ladder Li${}_2$Cu${}_2$O(SO${}_4$)${}_2$
• Lifshitz Transition Induced by Magnetic Field in Frustrated Two-Leg Spin-Ladder Systems
• Quasi-Spin Correlations in a Frustrated Quantum Spin Ladder
• Spin-Spin Correlation Enhanced by Impurities in a Frustrated Two-leg Spin Ladder