Universal temperature dependence of the magnetization of gapped spin chains

Abstract

Temperature dependence of the magnetization of the Haldane spin chain at finite magnetic field is analyzed systematically. Quantum Monte Carlo data indicates a clear minimum of magnetization as a function of temperature in the gapless regime. On the basis of the Tomonaga-Luttinger liquid theory, we argue that this minimum is rather universal and can be observed for general axially symmetric quasi-one-dimensional spin systems. Our argument is confirmed by the magnetic-field dependence of the spin-wave velocity obtained numerically. One can estimate a magnitude of the gap of any such systems by fitting the experimental data with the magnetization minimum.

arXiv comment9 pages, 7 figures

References in corpus (12)

• Quantum Monte Carlo with Directed Loops
• Realization of Bose-Einstein condensation of dilute magnons in TlCuCl${}_3$
• On the Field-Induced Gap in Cu Benzoate and Other S=1/2 Antiferromagnets
• Generalized Directed Loop Method for Quantum Monte Carlo Simulations
• The ALPS project: open source software for strongly correlated systems
• Magnetic field effects on two-leg Heisenberg antiferromagnetic ladders: Thermodynamic properties
• Field-Induced Magnetic Order in Quantum Spin Liquids
• Haldane-Gapped Spin Chains as Luttinger Liquids: Correlation Functions at Finite Field
• Field induced long-range-ordering in an S=1 quasi-one-dimensional Heisenberg antiferromagnet
• Consequences of spin-orbit coupling for the Bose-Einstein condensation of magnons
• Quantum spin chains in a magnetic field
• Finite size spectrum, magnon interactions and magnetization of S=1 Heisenberg spin chains

Cited by in corpus (45)

• Bose-Einstein Condensation in Magnetic Insulators
• Fermi gases in one dimension: From Bethe Ansatz to experiments
• Thermodynamics of the Spin Luttinger-Liquid in a Model Ladder Material
• Statics and dynamics of weakly coupled antiferromagnetic spin-1/2 ladders in a magnetic field
• Field-induced Tomonaga-Luttinger liquid phase of a two-leg spin-1/2 ladder with strong leg interactions
• Electric transport and magnetic properties in multilayer graphene
• Field-Controlled Magnetic Order in the Quantum Spin-Ladder System (Hpip)2CuBr4
• Field Induced Magnetic Ordering and Single-ion Anisotropy in the Quasi-1D Haldane Chain Compound SrNi2V2O8: A Single Crystal investigation
• Wilson ratio of a Tomonaga-Luttinger liquid in a spin-1/2 Heisenberg ladder
• Quantum-critical spin dynamics in quasi-one-dimensional antiferromagnets
• Analytic thermodynamics and thermometry of Gaudin-Yang Fermi gases
• Character of magnetic excitations in a quasi-one-dimensional antiferromagnet near the quantum critical points: Impact on magneto-acoustic properties
• Various regimes of quantum behavior in S = 1/2 Heisenberg antiferromagnetic chain with fourfold periodicity
• Field-induced incommensurate phase in the strong-rung spin ladder with ferromagnetic legs
• Thermodynamics of spin-1/2 tetrameric Heisenberg antiferromagnetic chain
• Wilson ratio of Fermi gases in one dimension
• Luttinger-Liquid Behavior in the Alternating Spin-Chain System Copper Nitrate
• Universal Tomonaga-Luttinger liquid phases in one-dimensional strongly attractive SU(N) fermionic cold atoms
• Quantum criticality of spinons
• Quantum Critical Scaling for a Heisenberg Spin-$1/2$ Chain around Saturation
• Quantum phase transitions in alternating spin-(1/2, 5/2) Heisenberg chains
• Analytical thermodynamics of a strongly attractive three-component Fermi gas in one dimension
• Exactly solvable models and ultracold Fermi gases
• Critical phenomena in one dimension from a Bethe ansatz perspective
• Effective S=1/2 description of the S=1 chain with strong easy plane anisotropy
• Gapped ground state in a spin-1/2 frustrated square lattice
• Tomonaga-Luttinger liquid in quasi-one-dimensional antiferromagnet BaCo2V2O8 in magnetic fields
• Magnetic field - temperature phase diagram of ferrimagnetic alternating chains: spin-wave theory from a fully polarized vacuum
• Bose glass behavior in (Yb${}_{1-x}$Lu${}_x$)${}_4$As${}_3$ representing the randomly diluted quantum spin-1/2 chains
• Universality and quantum criticality of the one-dimensional spinor Bose gas
• Quantum criticality of spin-1 bosons in a 1D harmonic trap
• Universality class of quantum criticality for strongly repulsive spin-1 bosons with antiferromagnetic spin-exchange interaction
• Single-ion anisotropy in Haldane chains and form factor of the O(3) nonlinear sigma model
• Dimensional crossover in spin-1 Heisenberg antiferromagnets: a quantum Monte Carlo study
• Quasi-one-dimensional quantum spin liquid in the $\mathrm{Cu}({\mathrm{C}}_4{\mathrm{H}}_4{\mathrm{N}}_2)(\mathrm{N}{\mathrm{O}}_3{)}_2$ insulator
• Three-dimensional Bose-Einstein Condensation in the Spin-1/2 Ferromagnetic-leg Ladder 3-Br-4-F-V
• Tomonaga-Luttinger liquid and quantum criticality in spin-1/2 antiferromagnetic Heisenberg chain C14H18CuN4O10 via Wilson ratio
• Momentum reconstruction and contact of the one-dimensional Bose-Fermi mixture
• Investigating field-induced magnetic order in Han Purple by neutron scattering up to 25.9 T
• Quantum Criticality of one-dimensional multicomponent Fermi Gas with Strongly Attractive Interaction
• Electron spin resonance shifts in S=1 antiferromagnetic chains
• Square-Lattice Antiferromagnet Subjected to a Magnetic Field Aligned with the Order Parameter
• Hole-induced anomaly in the thermodynamic behavior of a one-dimensional Bose gas
• Universal temperature dependence of electron number in one-dimensional Hubbard model
• Randomness Effect on the Temperature Dependence of the Finite Field Magnetization of a One-Dimensional Spin Gapped System