Quantum Critical Scaling for a Heisenberg Spin-$1/2$ Chain around Saturation

Abstract

We demonstrate quantum critical scaling for an $S=1/2$ Heisenberg antiferromagnetic chain compound CuPzN in a magnetic field around saturation, by analysing previously reported magnetization [Y. Kono {\it et al.}, Phys. Rev. Lett. {\bf 114}, 037202 (2015)], thermal expansion [J. Rohrkamp {\it et al.}, J. Phys.: Conf. Ser. {\bf 200}, 012169 (2010)] and NMR relaxation data [H. Kühne {\it et al.}, Phys. Rev. B {\bf 80}, 045110 (2009)]. The scaling of magnetization is demonstrated through collapsing the data for a range of both temperature and field onto a single curve without making any assumption for a theoretical form. The data collapse is subsequently shown to closely follow the theoretically-predicted scaling function without any adjustable parameters. Experimental boundaries for the quantum critical region could be drawn from the variable range beyond which the scaled data deviate from the theoretical function. Similarly to the magnetization, quantum critical scaling of the thermal expansion is also demonstrated. Further, the spin dynamics probed via NMR relaxation rate $1/T_1$ close to the saturation is shown to follow the theoretically-predicted quantum critical behavior as $1/T_1\propto T^{-0.5}$ persisting up to temperatures as high as $k_{\mathrm{B}}T\simeq J$, where $J$ is the exchange coupling constant.

5 pages

References in corpus (15)

• Quantum Criticality in Heavy Fermion Metals
• Quantum criticality
• Quantum magnetism and criticality
• Quantum Criticality
• Unconventional critical behaviour in a quasi-two-dimensional organic conductor
• Controlling Luttinger liquid physics in spin ladders under a magnetic field
• Critical Behavior of a Trapped Interacting Bose Gas
• Quantum and classical criticality in a dimerized quantum antiferromagnet
• Criticality in correlated quantum matter
• Magnetothermal transport in the spin-1/2 chains of copper pyrazine dinitrate
• Universal temperature dependence of the magnetization of gapped spin chains
• Spin gap and Luttinger liquid description of the NMR relaxation in carbon nanotubes
• Critical properties and Bose Einstein Condensation in dimer spin systems
• Scaling of temporal correlations in an attractive Tomonaga-Luttinger spin liquid
• Quantum critical dynamics of a S = 1/2 antiferromagnetic Heisenberg chain studied by 13C-NMR spectroscopy

Cited by in corpus (13)

• Quantum criticality in the spin-$1/2$ Heisenberg chain system copper pyrazine dinitrate
• Dichotomy between Attractive and Repulsive Tomonaga-Luttinger Liquids in Spin Ladders
• Thermodynamics of a frustrated quantum magnet on a square lattice
• $z=2$ Quantum Critical Dynamics in a Spin Ladder
• Temperature dependence of the NMR spin-lattice relaxation rate for spin-1/2 chains
• Quantum criticality of spinons
• Finite-temperature correlations in a quantum spin chain near saturation
• Breakdown of intermediate one-half magnetization plateau of spin-1/2 Ising-Heisenberg and Heisenberg branched chains at triple and Kosterlitz-Thouless critical points
• Phase transitions and magnetization of the mixed-spin Ising-Heisenberg double sawtooth frustrated ladder
• Field-driven quantum phase transitions in $S=1/2$ spin chains
• Strongly correlated Fermi systems as a new state of matter
• Tomonaga-Luttinger liquid and quantum criticality in spin-1/2 antiferromagnetic Heisenberg chain C14H18CuN4O10 via Wilson ratio
• Finite-temperature dynamics and the role of disorder in nearly critical Ni(Cl${}_{1-x}$Br${}_x$)${}_2$$\cdot$4SC(NH${}_2$)${}_2$