Thermodynamics of the Spin-1/2 Antiferromagnetic Uniform Heisenberg Chain

Abstract

We present a new application of the traditional thermodynamic Bethe ansatz to the spin-1/2 antiferromagnetic uniform Heisenberg chain and derive exact nonlinear integral equations for just {\em two} functions describing the elementary excitations. Using this approach the magnetic susceptibility $\chi$ and specific heat C versus temperature T are calculated to high accuracy for $5\times 10^{-25}\le T/J\le 5$. The $\chi (T)$ data agree very well at low T with the asymptotically exact theoretical low-T prediction of S. Lukyanov, Nucl. Phys. B {\bf 522}, 533 (1998). The unknown coefficients of the second and third lowest-order logarithmic correction terms in Lukyanov's theory for C(T) are estimated from the C(T) data.

4 pages Latex

References in corpus (1)

• Thermodynamics of Spin S = 1/2 Antiferromagnetic Uniform and Alternating-Exchange Heisenberg Chains

Cited by in corpus (67)

• Finite-temperature transport in one-dimensional quantum lattice models
• Finite Temperature Density Matrix Renormalization using an enlarged Hilbert space
• Magnon Heat Transport in (Sr,La)_14Cu_24O_41
• Heat transport by lattice and spin excitations in the spin chain compounds SrCuO_2 and Sr_2CuO_3
• Zero-frequency transport properties of one dimensional spin-1/2 systems
• Nature of the spin dynamics and 1/3 magnetization plateau in azurite
• On the finite temperature Drude weight of the anisotropic Heisenberg chain
• Quantum Belief Propagation
• Specific heat and high-temperature series of lattice models: interpolation scheme and examples on quantum spin systems in one and two dimensions
• Energy transport in Heisenberg chains beyond the Luttinger liquid paradigm
• Integrability of quantum chains: theory and applications to the spin-1/2 $XXZ$ chain
• Zigzag spin chains with antiferromagnetic-ferromagnetic interactions: Transfer-matrix renormalization group study
• The Drude weight of the spin-1/2 XXZ chain: density matrix renormalization group versus exact diagonalization
• Orbital order in the low-dimensional quantum spin system TiOCl probed by ESR
• Exact calculation of the magnetocaloric effect in the spin-1/2 XXZ chain
• Low-temperature asymptotics of integrable systems in an external field
• Heat capacity uncovers physics of a frustrated spin tube
• Thermodynamic properties of highly frustrated quantum spin ladders: influence of many-particle bound states
• Takahashi Integral Equation and High-Temperature Expansion of the Heisenberg Chain
• Hydrodynamic Limit for the Spin Dynamics of the Heisenberg Chain
• Efficient Quantum Monte Carlo simulations of highly frustrated magnets: the frustrated spin-1/2 ladder
• Dynamical signatures of quasiparticle interactions in quantum spin chains
• Luttinger liquid physics from infinite-system DMRG
• Truncated Conformal Space Approach for Perturbed Wess-Zumino-Witten $SU(2{)}_k$ Models
• Microscopic Quantum Mechanical Foundation of Fourier's Law
• Proposal for measuring the finite-temperature Drude weight of integrable systems
• Low-dimensional quantum magnetism in Cu(NCS)${}_2$: A molecular framework material
• Giant spin canting in the S = 1/2 antiferromagnetic chain [CuPM(NO3)2(H2O)2]n observed by 13C-NMR
• Frustrated quantum Heisenberg antiferromagnets at high magnetic fields: Beyond the flat-band scenario
• Magnetic model for A2CuP2O7 (A = Na, Li) revisited: 1D versus 2D behavior
• High-field magnetization study of the S = 1/2 antiferromagnetic Heisenberg chain [PM Cu(NO${}_3$)${}_2$(H${}_2$O)${}_2$]${}_n$ with a field-induced gap
• Superposition of ferromagnetic and antiferromagnetic spin chains in the quantum magnet BaAg2Cu[VO4]2
• Spin-Dynamics of the antiferromagnetic S=1/2-Chain at finite magnetic Fields and intermediate Temperatures
• Thermal conductivity of the one-dimensional Fermi-Hubbard model
• Exploiting disorder to probe spin and energy hydrodynamics
• Antiferromagnetic Dimers of Ni(II) in the S=1 Spin-Ladder Na_2Ni_2(C_2O_4)_3(H_2O)_2
• Magnetism of coupled spin tetrahedra in ilinskite-type KCu${}_5$O${}_2$(SeO${}_3$)${}_2$Cl${}_3$
• Magnetic susceptibility and heat capacity investigations of the unconventional spin-chain compound Sr3CuPtO6
• Mott-insulator phases of spin-3/2 fermions in the presence of quadratic Zeeman coupling
• Heat Transport in Spin Chains with Weak Spin-Phonon Coupling
• Finite-size effects in the quasi-one-dimensional quantum magnets Sr${}_2$CuO${}_3$, Sr${}_2$Cu${}_{0.99}$M${}_{0.01}$O${}_3$ (M = Ni, Zn), and SrCuO${}_2$
• Dimensional reduction in quantum spin-1/2 system on a 1/7-depleted triangular lattice
• Nonlinear integral equations for the thermodynamics of the sl(4)-symmetric Uimin-Sutherland model
• Dimensional crossover of spin chains in a transverse staggered field: an NMR study
• Ground-state phase diagram and thermodynamics of coupled trimer chains
• Multi-triplet bound states and finite-temperature dynamics in highly frustrated quantum spin ladders
• Magnetisation of hole-doped CuO2 spin chains in Sr14-xCaxCu24O41
• NMR, magnetization, and heat capacity studies of the uniform spin-1/2 chain compound Bi6V3O16
• Thermal expansion of the spin-1/2 Heisenberg-chain compound Cu(C${}_4$H${}_4$N${}_2$)(NO${}_3$)${}_2$
• Decomposition of the spin-1/2 Heisenberg chain compound Sr2CuO3 in air and water: An EPR and magnetic susceptibility study of Sr2Cu(OH)6
• Magnetocaloric effect in integrable spin-s chains
• Spin Hartree-Fock approach to quantum Heisenberg antiferromagnets in low dimensions
• S=1/2 antiferromagnetic Heisenberg chain with staggered fields: Copper pyrimidine and copper benzoate using the density matrix renormalization group for transfer matrices
• Electron spins interaction in the spin-Peierls phase of the organic spin chain (o -DMTTF) 2 X (X = Cl, Br, I)
• Quasi-one-dimensional uniform spin-$\frac{1}{2}$ Heisenberg antiferromagnet KNaCuP${}_2$O${}_7$ probed by ${}^{31}$P and ${}^{23}$Na NMR
• Properties of spin 1/2 triangular lattice antiferromagnets: CuRE2Ge2O8 (RE=Y, La)
• Magnetostriction in an array of spin chains under magnetic field
• Tomonaga-Luttinger liquid and quantum criticality in spin-1/2 antiferromagnetic Heisenberg chain C14H18CuN4O10 via Wilson ratio
• Quantum Heisenberg model on a sawtooth-chain lattice: Rotation-invariant Green's function method
• Novel magnetic field tuning of quantum spin excitations in a weakly coupled $S=$1/2 Heisenberg spin chain as seen from NMR
• Low temperature thermodynamics of the antiferromagnetic $J_1-J_2$ model: Entropy, critical points and spin gap
• Quantum Corner-Transfer Matrix DMRG
• The complete conformal spectrum of a $sl(2|1)$ invariant network model and logarithmic corrections
• Investigation of Thermodynamic Properties of Cu(NH3)4SO4.H2O, a Heisenberg Spin Chain Compound
• High field level crossing studies on spin dimers in the low dimensional quantum spin system Na${}_2$T${}_2$(C${}_2$O${}_4$)${}_3$(H${}_2$O)${}_2$ with T=Ni,Co,Fe,Mn
• Phase diagram of low-dimensional antiferromagnets with competing order parameters: A Ginzburg-Landau-theory approach
• Magnetic properties of ferro-antiferromagnetic spin triangle chain