Tomonaga-Luttinger Liquid Behavior and Spinon Confinement in YbAlO${}_3$

Abstract

Low dimensional quantum magnets are interesting because of the emerging collective behavior arising from strong quantum fluctuations. The one-dimensional (1D) S = 1/2 Heisenberg antiferromagnet is a paradigmatic example, whose low-energy excitations, known as spinons, carry fractional spin S = 1/2. These fractional modes can be reconfined by the application of a staggered magnetic field. Even though considerable progress has been made in the theoretical understanding of such magnets, experimental realizations of this low-dimensional physics are relatively rare. This is particularly true for rare-earth based magnets because of the large effective spin anisotropy induced by the combination of strong spin-orbit coupling and crystal field splitting. Here, we demonstrate that the rare-earth perovskite YbAlO${}_3$ provides a realization of a quantum spin S = 1/2 chain material exhibiting both quantum critical Tomonaga-Luttinger liquid behavior and spinon confinement-deconfinement transitions in different regions of magnetic field-temperature phase diagram.

Main text: 25 pages, 7 figures; Supplementary Information: 11 pages, 8 figures

References in corpus (3)

• Mantid - Data Analysis and Visualization Package for Neutron Scattering and $\mu SR$ Experiments
• Observation of spin current in quantum spin liquid
• The Cold Neutron Chopper Spectrometer at the Spallation Neutron Source - A Review of the first 8 Years of Operation

Cited by in corpus (37)

• Field-induced magnetic transition and spin fluctuation in quantum spin liquid candidate CsYbSe${}_2$
• Witnessing Entanglement and Quantum Correlations in Condensed Matter: A Review
• Synthesis and Anisotropic Magnetism in Quantum Spin Liquid Candidates $A$YbSe${}_2$ ($A$ = K and Rb)
• Antiferromagnetic ordering and dipolar interactions of YbAlO${}_3$
• Subdiffusive hydrodynamics of nearly-integrable anisotropic spin chains
• Magnetic phase diagrams and large magnetocaloric effects of the two-dimensional antiferromagnetic triangular lattice of Gd${}^{3+}$ ions in KBaGd(BO${}_3$)${}_2$
• Spin Density Wave versus Fractional Magnetization Plateau in a Triangular Antiferromagnet
• Frustration model and spin excitations in the helimagnet FeP
• Low-energy spin dynamics in rare-earth perovskite oxides
• Magnetic properties and spin dynamics in a spin-orbit driven Jeff= 1/2 triangular lattice antiferromagnet
• Experimental observation of magnetic dimers in diluted Yb:YAlO${}_3$
• Platforms for the realization and characterization of Tomonaga-Luttinger liquids
• Field-induced incommensurate ordering in the Heisenberg chains coupled by Ising interaction: Model for the ytterbium aluminum perovskite YbAlO${}_3$
• New applications for the world's smallest high-precision capacitance dilatometer and its stress-implementing counterpart
• Spin dynamics and exchange interaction in orthoferrite TbFeO${}_3$ with non-Kramers rare-earth ion
• Quasi One-Dimensional Ising-like Antiferromagnetism in the Rare-earth Perovskite Oxide TbScO${}_3$
• Magnetic properties of a spin-orbit entangled Jeff = 1/2 honeycomb lattice
• Non-linear soliton confinement in weakly coupled antiferromagnetic spin chains
• Reconstructing the spatial structure of quantum correlations in materials
• Spinon continuum in the Heisenberg quantum chain compound Sr${}_2$V${}_3$O${}_9$
• Confinement of many-body Bethe strings
• Slow spin dynamics and quantum tunneling of magnetization in the dipolar antiferromagnet DyScO${}_3$
• Spin dynamics and 1/3 magnetization plateau in a coupled distorted diamond chain compound K2Cu3(MoO4)4
• Detecting Confined and Deconfined Spinons in Dynamical Quantum Simulations
• High-temperature quantum coherence of spinons in a rare-earth spin chain
• Braided Ising spin-tube physics in a purported kagome magnet
• Néel Ordering in the Distorted Honeycomb Pyrosilicate: C-Er${}_2$Si${}_2$O${}_7$
• Emulation of quantum correlations by classical dynamics in a spin-1/2 Heisenberg chain
• Nano-welding of quantum spin-$1/2$ chains at minimal dissipation
• Truncated string state space approach and its application to nonintegrable spin-$\frac{1}{2}$ Heisenberg chain
• Successive magnetic orderings in the Ising spin chain magnet DyNi${}_5$Ge${}_3$
• Interplay of itinerant electrons and Ising moments in a hybrid honeycomb quantum magnet TmNi${}_3$Al${}_9$
• Competition Between Multiferroic and Magnetic Soliton Lattice States in DyFeO${}_3$
• Magnetic field-temperature phase diagram of spin-1/2 triangular lattice antiferromagnet KYbSe${}_2$
• 1/5 and 1/3 magnetization plateaux in the spin 1/2 chain system YbAlO3
• Ising Supercriticality and Universal Magnetocalorics in Spiral Antiferromagnet Nd${}_3$BWO${}_9$
• Low-temperature thermal conductivity of the substrate material YAlO3 and its unconventional sister compound YbAlO3