384 research outputs found
Some aspects of electronic topological transition in 2D system on a square lattice. Excitonic ordered states
We study the ordered "excitonic" states which develop around the quantum
critical point (QCP) associated with the electronic topological transition
(ETT) in a 2D electron system on a square lattice. We consider the case of
hopping beyond nearest neighbors when ETT has an unusual character. We show
that the amplitude of the order parameter (OP) and of the gap in the electron
spectrum increase with increasing the distance from the QCP, \delta_c - \delta,
where \delta = 1-n and "n" is an electron concentration. Such a behavior is
different from the ordinary case when OP and the gap decrease when going away
from the point which is a motor for instability. The gap opens at "hot spots"
and extends untill the saddle points (SP) whatever is the doping concentration.
The spectrum gets a characteristic flat shape as a result of hybrydization
effect in the vicinity of two different SP's. The shape of the spectrum and the
angle dependence of the gap have a striking similarity with the features
observed in the normal state of the underdoped high-T cuprates. We discuss
also details about the phase diagram and the behaviour of the density of
states.Comment: 15 pages, 14 EPS figures included, EPJ style included, added
references, changed conten
Various ordered states in a 2D interacting electron system close to an electronic topological transition
We consider a 2D electron system on a square lattice with hopping beyond
nearest neighbors. The existence of the quantum critical point associated with
an electronic topological transition in the noninteracting system results in
density wave (DW) and high temperature d-wave superconducting (dSC)
instabilities in the presence of an exchange interaction J. We analyse
different
DW ordering such as isotropic Spin DW (SDW), d-wave SDW, isotropic Charge DW
(CDW) and d-wave CDW. The coexistence of dSC and SDW orders leads necessary to
the existence of a third order which is a pi triplet superconducting (PTS)
order. A new phase diagram with a mixed phase of SDW, dSC and PTS order is
found. The theory is applied to high-Tc cuprates.Comment: 2 pages, 1 figure, submitted to LT22 (Physica B
The scaling behaviour of screened polyelectrolytes
We present a field-theoretic renormalization group (RG) analysis of a single
flexible, screened polyelectrolyte chain (a Debye-H\"uckel chain) in a polar
solvent. We point out that the Debye-H\"uckel chain may be mapped onto a local
field theory which has the same fixed point as a generalised Potts
model. Systematic analysis of the field theory shows that the system is one
with two interplaying length-scales requiring the calculation of scaling
functions as well as exponents to fully describe its physical behaviour. To
illustrate this, we solve the RG equation and explicitly calculate the
exponents and the mean end-to-end length of the chain.Comment: 6 pages, 1 figure; changed title and slight modification to tex
Ab Initio Treatments of the Ising Model in a Transverse Field
In this article, new results are presented for the zero-temperature
ground-state properties of the spin-half transverse Ising model on various
lattices using three different approximate techniques. These are, respectively,
the coupled cluster method, the correlated basis function method, and the
variational quantum Monte Carlo method. The methods, at different levels of
approximation, are used to study the ground-state properties of these systems,
and the results are found to be in excellent agreement both with each other and
with results of exact calculations for the linear chain and results of exact
cumulant series expansions for lattices of higher spatial dimension. The
different techniques used are compared and contrasted in the light of these
results, and the constructions of the approximate ground-state wave functions
are especially discussed.Comment: 28 Pages, 4 Figures, 1 Tabl
Aperiodic quantum XXZ chains: Renormalization-group results
We report a comprehensive investigation of the low-energy properties of
antiferromagnetic quantum XXZ spin chains with aperiodic couplings. We use an
adaptation of the Ma-Dasgupta-Hu renormalization-group method to obtain
analytical and numerical results for the low-temperature thermodynamics and the
ground-state correlations of chains with couplings following several two-letter
aperiodic sequences, including the quasiperiodic Fibonacci and other
precious-mean sequences, as well as sequences inducing strong geometrical
fluctuations. For a given aperiodic sequence, we argue that in the easy-plane
anisotropy regime, intermediate between the XX and Heisenberg limits, the
general scaling form of the thermodynamic properties is essentially given by
the exactly-known XX behavior, providing a classification of the effects of
aperiodicity on XXZ chains. We also discuss the nature of the ground-state
structures, and their comparison with the random-singlet phase, characteristic
of random-bond chains.Comment: Minor corrections; published versio
Entangling strings of neutral atoms in 1D atomic pipeline structures
We study a string of neutral atoms with nearest neighbor interaction in a 1D
beam splitter configuration, where the longitudinal motion is controlled by a
moving optical lattice potential. The dynamics of the atoms crossing the beam
splitter maps to a 1D spin model with controllable time dependent parameters,
which allows the creation of maximally entangled states of atoms by crossing a
quantum phase transition. Furthermore, we show that this system realizes
protected quantum memory, and we discuss the implementation of one- and
two-qubit gates in this setup.Comment: 4 pages, REVTEX, revised version: improvements in introduction and
figure
Surface Magnetization of Aperiodic Ising Quantum Chains
We study the surface magnetization of aperiodic Ising quantum chains. Using
fermion techniques, exact results are obtained in the critical region for
quasiperiodic sequences generated through an irrational number as well as for
the automatic binary Thue-Morse sequence and its generalizations modulo p. The
surface magnetization exponent keeps its Ising value, beta_s=1/2, for all the
sequences studied. The critical amplitude of the surface magnetization depends
on the strength of the modulation and also on the starting point of the chain
along the aperiodic sequence.Comment: 11 pages, 6 eps-figures, Plain TeX, eps
Exact diagonalisation study of charge order in the quarter-filled two-leg ladder system NaV2O5
The charge ordering transition in the layer compound NaV2O5 is studied by
means of exact diagonalization methods for finite systems. The 2-leg ladders of
the V-Trellis lattice are associated with one spin variable of the vanadium
3d-electron in the rung and a pseudospin variable that describes its positional
degree of freedom. The charge ordering (CO) due to intersite Coulomb
interactions is described by an effective Ising-like Hamiltonian for the
pseudo-spins that are coupled to the spin fluctuations along the ladder. We
employ a Lanczos algortihm on 2D lattice to compute charge (pseudo-spin) and
spin-correlation functions and the energies of the low lying excited states. A
CO-phase diagram is constructed and the effect of intra-ladder exchange on the
CO transition is studied. It is shown that a phase with no-longe range order
(no-LRO) exists between the in-line and zig-zag ordered structures. We provide
a finite-size scaling analysis for the spin excitation gap and also discuss the
type of excitations. In addition we studied the effect of bond-alternation of
spin exchange and derived a scaling form for the spin gap in terms of the
dimerization parameter.Comment: 9 pages with 9 EPS figures and 1 table, To be appeared in Phys. Rev.
B (2001
Aperiodic Ising model on the Bethe lattice: Exact results
We consider the Ising model on the Bethe lattice with aperiodic modulation of
the couplings, which has been studied numerically in Phys. Rev. E 77, 041113
(2008). Here we present a relevance-irrelevance criterion and solve the
critical behavior exactly for marginal aperiodic sequences. We present
analytical formulae for the continuously varying critical exponents and discuss
a relationship with the (surface) critical behavior of the aperiodic quantum
Ising chain.Comment: 7 pages, 3 figures, minor correction
Lattice two-point functions and conformal invariance
A new realization of the conformal algebra is studied which mimics the
behaviour of a statistical system on a discrete albeit infinite lattice. The
two-point function is found from the requirement that it transforms covariantly
under this realization. The result is in agreement with explicit lattice
calculations of the Ising model and the dimensional spherical
model. A hard core is found which is not present in the continuum. For a
semi-infinite lattice, profiles are also obtained.Comment: 5 pages, plain Tex with IOP macros, no figure
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