602 research outputs found
On the extra phase correction to the semiclassical spin coherent-state propagator
The problem of an origin of the Solary-Kochetov extra-phase contribution to
the naive semiclassical form of a generalized phase-space propagator is
addressed with the special reference to the su(2) spin case which is the most
important in applications. While the extra-phase correction to a flat
phase-space propagator can straightforwardly be shown to appear as a difference
between the principal and the Weyl symbols of a Hamiltonian in the
next-to-leading order expansion in the semiclassical parameter, the same
statement for the semiclassical spin coherent-state propagator holds provided
the Holstein-Primakoff representation of the su(2) algebra generators is
employed.Comment: 19 pages, no figures; a more general treatment is presented, some
references are added, title is slightly changed; submitted to JM
On representation of the t-J model via spin-charge variables
We show that the t-J Hamiltonian is not in general reduced to H(S,f), where S
and f stand for independent ([S,f]=0) SU(2) (spin) generators and spinless
fermionic (hole) field, respectively. The proof is based upon an identification
of the Hubbard operators with the generators of the su(2|1) superalgebra in the
degenerate fundamental representation and ensuing SU(2|1) path integral
representation of the partition function.Comment: 15 pages, latex, no figure
Electronic properties of disclinated flexible membrane beyond the inextensional limit: Application to graphene
Gauge-theory approach to describe Dirac fermions on a disclinated flexible
membrane beyond the inextensional limit is formulated. The elastic membrane is
considered as an embedding of 2D surface into R^3. The disclination is
incorporated through an SO(2) gauge vortex located at the origin, which results
in a metric with a conical singularity. A smoothing of the conical singularity
is accounted for by replacing a disclinated rigid plane membrane with a
hyperboloid of near-zero curvature pierced at the tip by the SO(2) vortex. The
embedding parameters are chosen to match the solution to the von Karman
equations. A homogeneous part of that solution is shown to stabilize the
theory. The modification of the Landau states and density of electronic states
of the graphene membrane due to elasticity is discussed.Comment: 15 pages, Journal of Physics:Condensed Matter in pres
Ising t-J model close to half filling: A Monte Carlo study
Within the recently proposed doped-carrier representation of the projected
lattice electron operators we derive a full Ising version of the t-J model.
This model possesses the global discrete Z_2 symmetry as a maximal spin
symmetry of the Hamiltonian at any values of the coupling constants, t and J.
In contrast, in the spin anisotropic limit of the t-J model, usually referred
to as the t-J_z model, the global SU(2) invariance is fully restored at J_z=0,
so that only the spin-spin interaction has in that model the true Ising form.
We discuss a relationship between those two models and the standard isotropic
t-J model. We show that the low-energy quasiparticles in all three models share
the qualitatively similar properties at low doping and small values of J/t. The
main advantage of the proposed Ising t-J model over the t-J_z one is that the
former allows for the unbiased Monte Carlo calculations on large clusters of up
to 10^3 sites. Within this model we discuss in detail the destruction of the
antiferromagnetic order by doping as well as the interplay between the AF order
and hole mobility. We also discuss the effect of the exchange interaction and
that of the next nearest neighbour hoppings on the destruction of the AF order
at finite doping. We show that the short-range AF order is observed in a wide
range of temperatures and dopings, much beyond the boundaries of the AF phase.
We explicitly demonstrate that the local no double occupancy constraint plays
the dominant role in destroying the magnetic order at finite doping. Finally, a
role of inhomogeneities is discussed.Comment: 24 pages, 10 figure
Classical and quantum dynamics of a spin-1/2
We reply to a comment on `Semiclassical dynamics of a spin-1/2 in an
arbitrary magnetic field'.Comment: 4 pages, submitted to Journal of Physics
Effective approach to the Nagaoka regime of the two dimensional t-J model
We argue that the t-J model and the recently proposed Ising version of this
model give the same physical picture of the Nagaoka regime for J/t << 1. In
particular, both models are shown to give compatible results for a single
Nagaoka polaron as well as for a Nagaoka bipolaron. When compared to the
standard t-J or t-Jz models, the Ising version allows for a numerical analysis
on much larger clusters by means of classical Monte Carlo simulations. Taking
the advantage of this fact, we study the low doping regime of t-J model for J/t
<< 1 and show that the ground state exhibits phase separation into hole-rich
ferromagnetic and hole-depleted antiferromagnetic regions. This picture holds
true up to a threshold concentration of holes, \delta < \delta_t ~ 0.44
\sqrt{J/t}. Analytical calculations show that \delta_t=\sqrt{J/2\pi t}.Comment: 10 pages, 10 figures, revte
Electronic Structure of Disclinated Graphene in an Uniform Magnetic Field
The electronic structure in the vicinity of the 1-heptagonal and 1-pentagonal
defects in the carbon graphene plane is investigated. Using a continuum gauge
field-theory model the local density of states around the Fermi energy is
calculated for both cases. In this model, the disclination is represented by an
SO(2) gauge vortex and corresponding metric follows from the elasticity
properties of the graphene membrane. To enhance the interval of energies, a
self-consistent perturbation scheme is used. The Landau states are investigated
and compared with the predicted values.Comment: keywords: graphene, heptagonal defect, elasticity, carbon nanohorns,
13 page
Group gradings on finitary simple Lie algebras
We classify, up to isomorphism, all gradings by an arbitrary abelian group on
simple finitary Lie algebras of linear transformations (special linear,
orthogonal and symplectic) on infinite-dimensional vector spaces over an
algebraically closed field of characteristic different from 2.Comment: Several typographical errors have been correcte
Doped carrier formulation of the t-J model : Monte Carlo study of the anisotropic case
We derive a doped carrier representation of the t-J model Hamiltonian. Within this approach the t-J model is described in terms of holes hopping in a lattice of correlated spins, where holes are the carriers doped into the
half-filled Mott insulator. This representation of the t{J Hamiltonian is very convenient for underdoped systems since close to half-filling it allows for a controlled treatment of the crucial constraint of no doubly occupied
sites. When neglecting the transverse spin-spin interaction, the effective Hamiltonian can be investigated with classical Monte Carlo simulations. We discuss the results obtained for systems consisting of several hundred lattice sites
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