342 research outputs found
Effect of Dzyaloshinski-Moriya interaction on spin-polarized neutron scattering
For magnetic materials containing many lattice imperfections (e.g.,
nanocrystalline magnets), the relativistic Dzyaloshinski-Moriya (DM)
interaction may result in nonuniform spin textures due to the lack of inversion
symmetry at interfaces. Within the framework of the continuum theory of
micromagnetics, we explore the impact of the DM interaction on the elastic
magnetic small-angle neutron scattering (SANS) cross section of bulk
ferromagnets. It is shown that the DM interaction gives rise to a
polarization-dependent asymmetric term in the spin-flip SANS cross section.
Analysis of this feature may provide a means to determine the DM constant.Comment: 10 pages, 7 figure
The square-kagome quantum Heisenberg antiferromagnet at high magnetic fields: The localized-magnon paradigm and beyond
We consider the spin-1/2 antiferromagnetic Heisenberg model on the
two-dimensional square-kagome lattice with almost dispersionless lowest magnon
band. For a general exchange coupling geometry we elaborate low-energy
effective Hamiltonians which emerge at high magnetic fields. The effective
model to describe the low-energy degrees of freedom of the initial frustrated
quantum spin model is the (unfrustrated) square-lattice spin-1/2 model in
a -aligned magnetic field. For the effective model we perform quantum Monte
Carlo simulations to discuss the low-temperature properties of the
square-kagome quantum Heisenberg antiferromagnet at high magnetic fields. We
pay special attention to a magnetic-field driven
Berezinskii-Kosterlitz-Thouless phase transition which occurs at low
temperatures.Comment: 6 figure
A Class of W-Algebras with Infinitely Generated Classical Limit
There is a relatively well understood class of deformable W-algebras,
resulting from Drinfeld-Sokolov (DS) type reductions of Kac-Moody algebras,
which are Poisson bracket algebras based on finitely, freely generated rings of
differential polynomials in the classical limit. The purpose of this paper is
to point out the existence of a second class of deformable W-algebras, which in
the classical limit are Poisson bracket algebras carried by infinitely,
nonfreely generated rings of differential polynomials. We present illustrative
examples of coset constructions, orbifold projections, as well as first class
Hamiltonian reductions of DS type W-algebras leading to reduced algebras with
such infinitely generated classical limit. We also show in examples that the
reduced quantum algebras are finitely generated due to quantum corrections
arising upon normal ordering the relations obeyed by the classical generators.
We apply invariant theory to describe the relations and to argue that classical
cosets are infinitely, nonfreely generated in general. As a by-product, we also
explain the origin of the previously constructed and so far unexplained
deformable quantum W(2,4,6) and W(2,3,4,5) algebras.Comment: 39 pages (plain TeX), ITP-SB-93-84, BONN-HE-93-4
Atomic Fermi gas in the trimerized Kagom\'e lattice at the filling 2/3
We study low temperature properties of an atomic spinless interacting Fermi
gas in the trimerized Kagom\'e lattice for the case of two fermions per trimer.
The system is described by a quantum spin 1/2 model on the triangular lattice
with couplings depending on bonds directions. Using exact diagonalizations we
show that the system exhibits non-standard properties of a {\it quantum
spin-liquid crystal}, combining a planar antiferromagnetic order with an
exceptionally large number of low energy excitations.Comment: 4 pages & 4 figures + 2 tables, better version of Fig.
Magnetization Process of the Classical Heisenberg Model on the Shastry-Sutherland Lattice
We investigate classical Heisenberg spins on the Shastry-Sutherland lattice
and under an external magnetic field. A detailed study is carried out both
analytically and numerically by means of classical Monte-Carlo simulations.
Magnetization pseudo-plateaux are observed around 1/3 of the saturation
magnetization for a range of values of the magnetic couplings. We show that the
existence of the pseudo-plateau is due to an entropic selection of a particular
collinear state. A phase diagram that shows the domains of existence of those
pseudo-plateaux in the plane is obtained.Comment: 9 pages, 11 figure
High-Order Coupled Cluster Method Study of Frustrated and Unfrustrated Quantum Magnets in External Magnetic Fields
We apply the coupled cluster method (CCM) in order to study the ground-state
properties of the (unfrustrated) square-lattice and (frustrated)
triangular-lattice spin-half Heisenberg antiferromagnets in the presence of
external magnetic fields. Here we determine and solve the basic CCM equations
by using the localised approximation scheme commonly referred to as the
`LSUB' approximation scheme and we carry out high-order calculations by
using intensive computational methods. We calculate the ground-state energy,
the uniform susceptibility, the total (lattice) magnetisation and the local
(sublattice) magnetisations as a function of the magnetic field strength. Our
results for the lattice magnetisation of the square-lattice case compare well
to those results of QMC for all values of the applied external magnetic field.
We find a value for magnetic susceptibility of for the
square-lattice antiferromagnet, which is also in agreement with the results of
other approximate methods (e.g., via QMC). Our estimate for the
range of the extent of the () magnetisation plateau for the
triangular-lattice antiferromagnet is , which is in good
agreement with results of spin-wave theory () and
exact diagonalisations (). The CCM value for the
in-plane magnetic susceptibility per site is , which is below the
result of the spin-wave theory (evaluated to order 1/S) of .Comment: 30 pages, 13 figures, 1 Tabl
Quantum Monte Carlo simulations in the trimer basis:First-order transitions and thermal critical points in frustrated trilayer magnets
The phase diagrams of highly frustrated quantum spin systems can exhibit
first-order quantum phase transitions and thermal critical points even in the
absence of any long-ranged magnetic order. However, all unbiased numerical
techniques for investigating frustrated quantum magnets face significant
challenges, and for generic quantum Monte Carlo methods the challenge is the
sign problem. Here we report on a general quantum Monte Carlo approach with a
loop-update scheme that operates in any basis, and we show that, with an
appropriate choice of basis, it allows us to study a frustrated model of
coupled spin-1/2 trimers: simulations of the trilayer Heisenberg
antiferromagnet in the spin-trimer basis are sign-problem-free when the
intertrimer couplings are fully frustrated. This model features a first-order
quantum phase transition, from which a line of first-order transitions emerges
at finite temperatures and terminates in a thermal critical point. The trimer
unit cell hosts an internal degree of freedom that can be controlled to induce
an extensive entropy jump at the quantum transition, which alters the shape of
the first-order line. We explore the consequences for the thermal properties in
the vicinity of the critical point, which include profound changes in the lines
of maxima defined by the specific heat. Our findings reveal trimer quantum
magnets as fundamental systems capturing in full the complex thermal physics of
the strongly frustrated regime.Comment: 27 pages, 10 figures, Resubmission to SciPos
Magnetocaloric effect in integrable spin-s chains
We study the magnetocaloric effect for the integrable antiferromagnetic
high-spin chain. We present an exact computation of the Gr\"uneisen parameter,
which is closely related to the magnetocaloric effect, for the quantum spin-s
chain on the thermodynamical limit by means of Bethe ansatz techniques and the
quantum transfer matrix approach. We have also calculated the entropy S and the
isentropes in the (H,T) plane. We have been able to identify the quantum
critical points H_c^{(s)}=2/(s+1/2) looking at the isentropes and/or the
characteristic behaviour of the Gr\"uneisen parameter.Comment: 6 pages, 3 figure
Ghost Systems: A Vertex Algebra Point of View
Fermionic and bosonic ghost systems are defined each in terms of a single
vertex algebra which admits a one-parameter family of conformal structures. The
observation that these structures are related to each other provides a simple
way to obtain character formulae for a general twisted module of a ghost
system. The U(1) symmetry and its subgroups that underly the twisted modules
also define an infinite set of invariant vertex subalgebras. Their structure is
studied in detail from a W-algebra point of view with particular emphasis on
Z_N-invariant subalgebras of the fermionic ghost system.Comment: 20 pages, plain Te
Quantum Fluctuation-Induced Phase Transition in S=1/2 XY-like Heisenberg Antiferromagnets on the Triangular Lattice
The selection of the ground state among nearly degenerate states due to
quantum fluctuations is studied for the S=1/2 XY-like Heisenberg
antiferromagnets on the triangular lattice in the magnetic field applied along
the hard axis, which was first pointed out by Nikuni and Shiba. We find that
the selected ground state sensitively depends on the degree of the anisotropy
and the magnitude of the magnetic field. This dependence is similar to that in
the corresponding classical model at finite temperatures where various types of
field induced phases appear due to the entropy effect. It is also found that
the similarity of the selected states in the classical and quantum models are
not the case in a two-leg ladder lattice, although the lattice consists of
triangles locally and the ground state of this lattice in the classical case is
the same as that of the triangular lattice.Comment: 15 pages, 35 figure
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