11,482 research outputs found
Hyperbolic Deformation Applied to S = 1 Spin Chains - Scaling Relation in Excitation Energy -
We investigate excitation energies of hyperbolically deformed S = 1 spin
chains, which are specified by the local energy scale f_j^{~} = \cosh j
\lambda, where j is the lattice index and \lambda is the deformation parameter.
The elementary excitation is well described by a quasiparticle hopping model,
which is also expressed in the form of hyperbolic deformation. It is possible
to estimate the excitation gap \Delta in the uniform limit \lambda \rightarrow
0, by means of a finite size scaling with respect to the system size N and the
deformation parameter \lambda.Comment: 5 pages, 4 figure
Evolutionary origin of power-laws in Biochemical Reaction Network; embedding abundance distribution into topology
The evolutionary origin of universal statistics in biochemical reaction
network is studied, to explain the power-law distribution of reaction links and
the power-law distributions of chemical abundances. Using cell models with
catalytic reaction network, we find evidence that the power-law distribution in
abundances of chemicals emerges by the selection of cells with higher growth
speeds. Through the further evolution, this inhomogeneity in chemical
abundances is shown to be embedded in the distribution of links, leading to the
power-law distribution. These findings provide novel insights into the nature
of network evolution in living cells.Comment: 11 pages, 3 figure
Staggered magnetism in LiVO at low temperatures probed by the muon Knight shift
We report on the muon Knight shift measurement in single crystals of LiV2O4.
Contrary to what is anticipated for the heavy-fermion state based on the Kondo
mechanism, the presence of inhomogeneous local magnetic moments is demonstrated
by the broad distribution of the Knight shift at temperatures well below the
presumed "Kondo temperature" ( K). Moreover, a significant
fraction ( %) of the specimen gives rise to a second component which
is virtually non-magnetic. These observations strongly suggest that the
anomalous properties of LiV2O4 originates from frustration of local magnetic
moments.Comment: 11 pages, 5 figures, sbmitted to J. Phys.: Cond. Mat
Friedel oscillations in the one-dimensional Kondo-lattice model
The paramagnetic metallic phase of the one-dimensional Kondo lattice model is
studied by the density-matrix renormalization- group method. We observe charge
and spin Friedel oscillations. They reflect the long range charge-charge and
spin-spin correlation functions. The observed oscillations are consistent with
a Tomonaga-Luttinger liquid. From the period of the oscillations it is
concluded that the Fermi surface is large, including both the conduction
electrons and the localized spins, , where is the
density of conduction electrons.Comment: RevTeX, 4 pages, 4 Postscript figures, to be published in Physical
review
Orbital and spin chains in ZnV2O4
Our powder inelastic neutron scattering data indicate that \zvo is a system
of spin chains that are three dimensionally tangled in the cubic phase above 50
K due to randomly occupied orbitals of V () ions. Below
50 K in the tetragonal phase, the chains become straight due to
antiferro-orbital ordering. This is evidenced by the characteristic wave vector
dependence of the magnetic structure factor that changes from symmetric to
asymmetric at the cubic-to-tetragonal transition
Spin-lattice instability to a fractional magnetization state in the spinel HgCr2O4
Magnetic systems are fertile ground for the emergence of exotic states when
the magnetic interactions cannot be satisfied simultaneously due to the
topology of the lattice - a situation known as geometrical frustration.
Spinels, AB2O4, can realize the most highly frustrated network of
corner-sharing tetrahedra. Several novel states have been discovered in
spinels, such as composite spin clusters and novel charge-ordered states. Here
we use neutron and synchrotron X-ray scattering to characterize the fractional
magnetization state of HgCr2O4 under an external magnetic field, H. When the
field is applied in its Neel ground state, a phase transition occurs at H ~ 10
Tesla at which each tetrahedron changes from a canted Neel state to a
fractional spin state with the total spin, Stet, of S/2 and the lattice
undergoes orthorhombic to cubic symmetry change. Our results provide the
microscopic one-to-one correspondence between the spin state and the lattice
distortion
Incommensurate Matrix Product State for Quantum Spin Systems
We introduce a matrix product state (MPS) with an incommensurate periodicity
by applying the spin-rotation operator of each site to a uniform MPS in the
thermodynamic limit. The spin rotations decrease the variational energy with
accompanying translational symmetry breaking and the rotational symmetry
breaking in the spin space even if the Hamiltonian has the both symmetries. The
optimized pitch of rotational operator reflects the commensurate/incommensurate
properties of spin-spin correlation functions in the Heisenberg chain
and the ferro-antiferro zigzag chain.Comment: 6 pages, 5 figure
The dynamics of condensate shells: collective modes and expansion
We explore the physics of three-dimensional shell-shaped condensates,
relevant to cold atoms in "bubble traps" and to Mott insulator-superfluid
systems in optical lattices. We study the ground state of the condensate
wavefunction, spherically-symmetric collective modes, and expansion properties
of such a shell using a combination of analytical and numerical techniques. We
find two breathing-type modes with frequencies that are distinct from that of
the filled spherical condensate. Upon trap release and subsequent expansion, we
find that the system displays self-interference fringes. We estimate
characteristic time scales, degree of mass accumulation, three-body loss, and
kinetic energy release during expansion for a typical system of Rb87
One-dimensional Kondo lattice model as a Tomonaga-Luttinger liquid
Arguments are presented that in the one-dimensional Kondo lattice model
f-electron spins participate in filling of the Fermi sea. It is shown that in
its paramagnetic phase this model belongs to the spin-1/2 Tomonaga-Luttinger
liquid universality class. The ratio of the spin and charge velocities v_s/v_c
and K_c are estimated to be of the order of (T_K/E_F)^{1/2}.Comment: LaTeX file, 5 pages, 4 Postscript figure
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