259 research outputs found
Ground-state phases of rung-alternated spin-1/2 Heisenberg ladder
The ground-state phase diagram of Heisenberg spin-1/2 system on a two-leg
ladder with rung alternation is studied by combining analytical approaches with
numerical simulations. For the case of ferromagnetic leg exchanges a unique
ferrimagnetic ground state emerges, whereas for the case of antiferromagnetic
leg exchanges several different ground states are stabilized depending on the
ratio between exchanges along legs and rungs. For the more general case of a
honeycomb-ladder model for the case of ferromagnetic leg exchanges besides
usual rung-singlet and saturated ferromagnetic states we obtain a ferrimagnetic
Luttinger liquid phase with both linear and quadratic low energy dispersions
and ground state magnetization continuously changing with system parameters.
For the case of antiferromagnetic exchanges along legs, different dimerized
states including states with additional topological order are suggested to be
realized
Frustrated ferromagnetic spin-1/2 chain in a magnetic field: The phase diagram and thermodynamic properties
The frustrated ferromagnetic spin-1/2 Heisenberg chain is studied by means of
a low-energy field theory as well as the density-matrix renormalization group
and exact diagonalization methods. Firstly, we study the ground-state phase
diagram in a magnetic field and find an `even-odd' (EO) phase characterized by
bound pairs of magnons in the region of two weakly coupled antiferromagnetic
chains. A jump in the magnetization curves signals a first-order transition at
the boundary of the EO phase, but otherwise the curves are smooth. Secondly, we
discuss thermodynamic properties at zero field, where we confirm a double-peak
structure in the specific heat for moderate frustrating next-nearest neighbor
interactions.Comment: 4 pages RevTex4, 4 figures. Minor changes, title modified. Additional
material is available here:
http://www.theorie.physik.uni-goettingen.de/~honecker/j1j2-td
Interplay between Symmetric Exchange Anisotropy, Uniform Dzyaloshinskii-Moriya Interaction and Magnetic Fields in the Phase Diagram of Quantum Magnets and Superconductors
We theoretically study the joint influence of uniform Dzyaloshinskii-Moriya
(DM) interactions, symmetric exchange anisotropy (with its axis parallel to the
DM vector) and arbitrarily oriented magnetic fields on one-dimensional spin 1/2
antiferromagnets. We show that the zero-temperature phase diagram contains
three competing phases: (i) an antiferromagnet with Neel vector in the plane
spanned by the DM vector and the magnetic field, (ii) a {\em dimerized}
antiferromagnet with Neel vector perpendicular to both the DM vector and the
magnetic field, and (iii) a gapless Luttinger liquid. Phase (i) is destroyed by
a small magnetic field component along the DM vector and is furthermore
unstable beyond a critical value of easy-plane anisotropy, which we estimate
using Abelian and non-Abelian bosonization along with perturbative
renormalization group. We propose a mathematical equivalent of the spin model
in a one-dimensional Josephson junction (JJ) array located in proximity to a
bulk superconductor.
We discuss the analogues of the magnetic phases in the superconducting
context and comment on their experimental viability.Comment: 20 pages, 16 figures; submitted to Phys. Rev.
Dynamical Structure Factors for Dimerized Spin Systems
We discuss the transition strength between the disordered ground state and
the basic low-lying triplet excitation for interacting dimer materials by
presenting theoretical calculations and series expansions as well as inelastic
neutron scattering results for the material KCuCl_3. We describe in detail the
features resulting from the presence of two differently oriented dimers per
unit cell and show how energies and spectral weights of the resulting two modes
are related to each other. We present results from the perturbation expansion
in the interdimer interaction strength and thus demonstrate that the wave
vector dependence of the simple dimer approximation is modified in higher
orders. Explicit results are given in 10th order for dimers coupled in 1D, and
in 2nd order for dimers coupled in 3D with application to KCuCl_3 and TlCuCl_3.Comment: 17 pages, 6 figures, part 2 is based on cond-mat/021133
Universal emergence of the one-third plateau in the magnetization process of frustrated quantum spin chains
We present a numerical study of the magnetization process of frustrated
quantum spin-S chains with S=1, 3/2, 2 as well as the classical limit. Using
the exact diagonalization and density-matrix renormalization techniques, we
provide evidence that a plateau at one third of the saturation magnetization
exists in the magnetization curve of frustrated spin-S chains with S>1/2.
Similar to the case of S=1/2, this plateau state breaks the translational
symmetry of the Hamiltonian and realizes an up-up-down pattern in the spin
component parallel to the external field. Our study further shows that this
plateau exists both in the cases of an isotropic exchange and in the easy-axis
regime for spin-S=1, 3/2, and 2, but is absent in classical frustrated spin
chains with isotropic interactions. We discuss the magnetic phase diagram of
frustrated spin-1 and spin-3/2 chains as well as other emergent features of the
magnetization process such as kink singularities, jumps, and even-odd effects.
A quantitative comparison of the one-third plateau in the easy-axis regime
between spin-1 and spin-3/2 chains on the one hand and the classical frustrated
chain on the other hand indicates that the critical frustration and the phase
boundaries of this state rapidly approach the classical result as the spin S
increases.Comment: 15 pages RevTex4, 13 figure
Four-spin-exchange- and magnetic-field-induced chiral order in two-leg spin ladders
We propose a mechanism of a vector chiral long-range order in two-leg
spin-1/2 and spin-1 antiferromagnetic ladders with four-spin exchanges and a
Zeeman term. It is known that for one-dimensional quantum systems, spontaneous
breakdown of continuous symmetries is generally forbidden. Any vector chiral
order hence does not appear in spin-rotationally [SU(2)]-symmetric spin
ladders. However, if a magnetic field is added along the S^z axis of ladders
and the SU(2) symmetry is reduced to the U(1) one, the z component of a vector
chiral order can emerge with the remaining U(1) symmetry unbroken. Making use
of Abelian bosonization techniques, we actually show that a certain type of
four-spin exchange can yield a vector chiral long-range order in spin-1/2 and
spin-1 ladders under a magnetic field. In the chiral-ordered phase, the Z_2
interchain-parity (i.e., chain-exchange) symmetry is spontaneously broken. We
also consider effects of perturbations breaking the parity symmetry.Comment: 8 pages, 1 figure, RevTex, published versio
Drastic Change of Magnetic Phase Diagram in Doped Quantum Antiferromagnet TlCuMgCl
TlCuCl is a coupled spin dimer system, which has a singlet ground state
with an excitation gap of = 5.5 T.
TlCuMgCl doped with nonmagnetic Mg ions undergoes
impurity-induced magnetic ordering. Because triplet excitation with a finite
gap still remains, this doped system can also undergo magnetic-field-induced
magnetic ordering. By specific heat measurements and neutron scattering
experiments under a magnetic field, we investigated the phase diagram in
TlCuMgCl with , and found that impurity- and
field-induced ordered phases are the same. The gapped spin liquid state
observed in pure TlCuCl is completely wiped out by the small amount of
doping.Comment: 9 pages, 5 figures, jpsj2 class file, to be published in J. Phy. Soc.
Jpn. Vol.75 No.3 (2006); layout changed, unrelated figure remove
Matrix-product-groundstates for one-dimensional spin-1 quantum antiferromagnets
We have found the exact groundstate for a large class of antiferromagnetic
spin-1 models with nearest-neighbour interactions on a linear chain. All
groundstate properties can be calculated. The groundstate is determined as a
matrix product of individual site states and has the properties of the Haldane
scenario.Comment: 8 pages (plain tex), preprint cologne-93-471
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