9 research outputs found
NMR Response in quasi one-dimensional Spin-1/2 Antiferromagnets
Non-magnetic impurities break a quantum spin chain into finite segments and
induce Friedel-like oscillations in the local susceptibility near the edges.
The signature of these oscillations has been observed in Knight shift
experiments on the high-temperature superconductor YBaCuO and
on the spin-chain compound SrCuO. Here we analytically calculate NMR
spectra, compare with the available experimental data for SrCuO, and
show that the interchain coupling is responsible for the complicated and so far
unexplained lineshape. Our results are based on a parameter-free formula for
the local susceptibility of a finite spin chain obtained by bosonization which
is checked by comparing with quantum Monte Carlo and density-matrix
renormalization group calculations.Comment: final versio
The open XXZ-chain: Bosonisation, Bethe ansatz and logarithmic corrections
We calculate the bulk and boundary parts of the free energy for an open
spin-1/2 XXZ-chain in the critical regime by bosonisation. We identify the
cutoff independent contributions and determine their amplitudes by comparing
with Bethe ansatz calculations at zero temperature T. For the bulk part of the
free energy we find agreement with Lukyanov's result [Nucl.Phys.B 522, 533
(1998)]. In the boundary part we obtain a cutoff independent term which is
linear in T and determines the temperature dependence of the boundary
susceptibility in the attractive regime for . We further show that at
particular anisotropies where contributions from irrelevant operators with
different scaling dimensions cross, logarithmic corrections appear. We give
explicit formulas for these terms at those anisotropies where they are most
important. We verify our results by comparing with extensive numerical
calculations based on a numerical solution of the T=0 Bethe ansatz equations,
the finite temperature Bethe ansatz equations in the quantum-transfer matrix
formalism, and the density-matrix renormalisation group applied to transfer
matrices.Comment: 35 pages, 8 figure
The one-dimensional Hubbard model with open ends: Universal divergent contributions to the magnetic susceptibility
The magnetic susceptibility of the one-dimensional Hubbard model with open
boundary conditions at arbitrary filling is obtained from field theory at low
temperatures and small magnetic fields, including leading and next-leading
orders. Logarithmic contributions to the bulk part are identified as well as
algebraic-logarithmic divergences in the boundary contribution. As a
manifestation of spin-charge separation, the result for the boundary part at
low energies turns out to be independent of filling and interaction strength
and identical to the result for the Heisenberg model. For the bulk part at zero
temperature, the scale in the logarithms is determined exactly from the Bethe
ansatz. At finite temperature, the susceptibility profile as well as the
Friedel oscillations in the magnetisation are obtained numerically from the
density-matrix renormalisation group applied to transfer matrices. Agreement is
found with an exact asymptotic expansion of the relevant correlation function.Comment: 30 pages, 8 figures, reference adde
Finite temperature Drude weight of an integrable Bose chain
We study the Drude weight at finite temperatures of an integrable
bosonic model where the particles interact via nearest-neighbour coupling on a
chain. At low temperatures, is shown to be universal in the sense that
this region is equivalently described by a Gaussian model. This low-temperature
limit is also relevant for the integrable one-dimensional Bose gas. We then use
the thermodynamic Bethe ansatz to confirm the low-temperature result, to obtain
the high temperature limit of and to calculate numerically.Comment: 11 pages, 2 figure
Bethe Ansatz study of one-dimensional Bose and Fermi gases with periodic and hard wall boundary conditions
We extend the exact periodic Bethe Ansatz solution for one-dimensional bosons
and fermions with delta-interaction and arbitrary internal degrees of freedom
to the case of hard wall boundary conditions. We give an analysis of the ground
state properties of fermionic systems with two internal degrees of freedom,
including expansions of the ground state energy in the weak and strong coupling
limits in the repulsive and attractive regimes.Comment: 27 pages, 6 figures, key reference added, typos correcte
Quantum versus classical behavior in the boundary susceptibility of the ferromagnetic Heisenberg chain
Correlation Functions of the Open XXZ Chain II.
38 pagesInternational audienceWe derive compact multiple integral formulas for several physical spin correlation functions in the semi-infinite XXZ chain with a longitudinal boundary magnetic field. Our formulas follow from several effective re-summations of the multiple integral representation for the elementary blocks obtained in our previous article (I). In the free fermion point we compute the local magnetization as well as the density of energy profiles. These quantities, in addition to their bulk behavior, exhibit Friedel type oscillations induced by the boundary; their amplitudes depend on the boundary magnetic field and decay algebraically in terms of the distance to the boundary