Boundary susceptibility in the spin-1/2 chain: Curie like behavior without magnetic impurities

Abstract

We investigate the low-temperature thermodynamics of the spin-1/2 Heisenberg chain with open ends. On the basis of boundary conformal field theory arguments and numerical density matrix renormalization group calculations, it is established that in the isotropic case the impurity susceptibility exhibits a Curie-like divergent behavior as the temperature decreases, even in the absence of magnetic impurities. A similar singular temperature dependence is also found in the boundary contributions of the specific heat coefficient. In the anisotropic case, for $1/2<\Delta <1$, these boundary quantities still show singular temperature dependence obeying a power law with an anomalous dimension. Experimental consequences will be discussed.

5 pages, 1 figure, final version

References in corpus (1)

• Susceptibility of the 2D S=1/2 Heisenberg antiferromagnet with an impurity

Cited by in corpus (35)

• Defects in correlated metals and superconductors
• Correlation functions of the open XXZ chain I
• Correlation functions of the open XXZ chain II
• A study on correlation effects in two dimensional topological insulators
• Surface free energy of the open XXZ spin-1/2 chain
• Integrable models and quantum spin ladders: comparison between theory and experiment for the strong coupling ladder compounds
• The Luttinger liquid and integrable models
• Chain breaks and the susceptibility of Sr_2Cu_{1-x}Pd_xO_{3+δ} and other doped quasi one-dimensional antiferromagnets
• Entanglement entropy between two coupled Tomonaga-Luttinger liquids
• Thermodynamics of impurities in the anisotropic Heisenberg spin-1/2 chain
• Impurity effects at finite temperature in the two-dimensional S=1/2 Heisenberg antiferromagnet
• The open XXZ-chain: Bosonisation, Bethe ansatz and logarithmic corrections
• Boundary contributions to specific heat and susceptibility in the spin-1/2 XXZ chain
• Scaling of polarization amplitude in quantum many-body systems in one dimension
• Vacancy-induced spin texture in a one dimensional $S=1/2$ Heisenberg antiferromagnet
• Kondo Problems in Tomonaga-Luttinger liquids
• Knight shifts around vacancies in the 2D Heisenberg model
• Surface free energy for systems with integrable boundary conditions
• Boundary susceptibility in the open XXZ-chain
• Boundary Resonances in S = 1/2 Antiferromagnetic Chains under a Staggered Field
• 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${}_2$
• Non-Fermi Liquids in Conducting 2D Networks
• Static impurities in a supersolid of interacting hard-core bosons on a triangular lattice
• Spin wave calculation of the field-dependent magnetization pattern around an impurity in Heisenberg antiferromagnets
• Spin pseudogap in the $S=\frac{1}{2}$ chain material Sr${}_2$CuO${}_3$ with impurities
• The dynamic structure factor in impurity-doped spin chains
• Quantum versus classical behavior in the boundary susceptibility of the ferromagnetic Heisenberg chain
• Magnetic ordering in the ultra-pure site-diluted spin chain materials SrCu${}_{1-x}$Ni${}_x$O${}_2$
• Quasi-one-dimensional uniform spin-$\frac{1}{2}$ Heisenberg antiferromagnet KNaCuP${}_2$O${}_7$ probed by ${}^{31}$P and ${}^{23}$Na NMR
• Electron spins interaction in the spin-Peierls phase of the organic spin chain (o -DMTTF) 2 X (X = Cl, Br, I)
• Quantum critical dynamics and scaling in one-dimensional antiferromagnets
• Giant orbital polarization of Ni${}^{2+}$ in square planar environment
• Kondo Problem and Related One-Dimensional Quantum Systems: Bethe Ansatz Solution and Boundary Conformal Field Theory
• The one-dimensional Hubbard model with open ends: Universal divergent contributions to the magnetic susceptibility
• Boundary logarithmic corrections to the dynamical correlation functions of one-dimensional spin-1/2 chains