3,023 research outputs found
Quantum Phase Transition from a Spin-liquid State to a Spin-glass State in the Quasi-1D Spin-1 System Sr1-xCaxNi2V2O8
We report a quantum phase transition from a spin-liquid state to a spin-glass
state in the quasi-one dimensional (1D) spin-1 system Sr1-xCaxNi2V2O8, induced
by a small amount of Ca-substitution at Sr site. The ground state of the parent
compound (x = 0) is found to be a spin-liquid type with a finite energy gap of
26.6 K between singlet ground state and triplet excited state. Both
dc-magnetization and ac-susceptibility studies on the highest Ca-substituted
compound (x = 0.05) indicate a spin-glass type magnetic ground state. With
increasing Ca-concentration, the spin-glass ordering temperature increases from
4.5 K (for the x = 0.015 compound) to 6.25 K (for the x = 0.05 compound). The
observed results are discussed in the light of the earlier experimental reports
and the theoretical predictions for a quasi-1D spin-1 system.Comment: 26 pages, 8 figures, 3 table
Alternative approaches to testing non-nested models with autocorrelated disturbances : an application to models of U.S. unemployment
Apparent slow dynamics in the ergodic phase of a driven many-body localized system without extensive conserved quantities
We numerically study the dynamics on the ergodic side of the many-body
localization transition in a periodically driven Floquet model with no global
conservation laws. We describe and employ a numerical technique based on the
fast Walsh-Hadamard transform that allows us to perform an exact time evolution
for large systems and long times. As in models with conserved quantities (e.g.,
energy and/or particle number) we observe a slowing down of the dynamics as the
transition into the many-body localized phase is approached. More specifically,
our data is consistent with a subballistic spread of entanglement and a
stretched-exponential decay of an autocorrelation function, with their
associated exponents reflecting slow dynamics near the transition for a fixed
system size. However, with access to larger system sizes, we observe a clear
flow of the exponents towards faster dynamics and can not rule out that the
slow dynamics is a finite-size effect. Furthermore, we observe examples of
non-monotonic dependence of the exponents with time, with dynamics initially
slowing down but accelerating again at even larger times, consistent with the
slow dynamics being a crossover phenomena with a localized critical point.Comment: 9 pages, 8 figures; added details on the level statistics and the
energy absorptio
Quantum Size Effects in the Atomistic Structure of Armchair-Nanoribbons
Quantum size effects in armchair graphene nano-ribbons (AGNR) with hydrogen
termination are investigated via density functional theory (DFT) in Kohn-Sham
formulation. "Selection rules" will be formulated, that allow to extract
(approximately) the electronic structure of the AGNR bands starting from the
four graphene dispersion sheets. In analogy with the case of carbon nanotubes,
a threefold periodicity of the excitation gap with the ribbon width (N, number
of carbon atoms per carbon slice) is predicted that is confirmed by ab initio
results. While traditionally such a periodicity would be observed in electronic
response experiments, the DFT analysis presented here shows that it can also be
seen in the ribbon geometry: the length of a ribbon with L slices approaches
the limiting value for a very large width 1 << N (keeping the aspect ratio
small N << L) with 1/N-oscillations that display the electronic selection
rules. The oscillation amplitude is so strong, that the asymptotic behavior is
non-monotonous, i.e., wider ribbons exhibit a stronger elongation than more
narrow ones.Comment: 5 pages, 6 figure
Entanglement and coherence in quantum state merging
Understanding the resource consumption in distributed scenarios is one of the
main goals of quantum information theory. A prominent example for such a
scenario is the task of quantum state merging where two parties aim to merge
their parts of a tripartite quantum state. In standard quantum state merging,
entanglement is considered as an expensive resource, while local quantum
operations can be performed at no additional cost. However, recent developments
show that some local operations could be more expensive than others: it is
reasonable to distinguish between local incoherent operations and local
operations which can create coherence. This idea leads us to the task of
incoherent quantum state merging, where one of the parties has free access to
local incoherent operations only. In this case the resources of the process are
quantified by pairs of entanglement and coherence. Here, we develop tools for
studying this process, and apply them to several relevant scenarios. While
quantum state merging can lead to a gain of entanglement, our results imply
that no merging procedure can gain entanglement and coherence at the same time.
We also provide a general lower bound on the entanglement-coherence sum, and
show that the bound is tight for all pure states. Our results also lead to an
incoherent version of Schumacher compression: in this case the compression rate
is equal to the von Neumann entropy of the diagonal elements of the
corresponding quantum state.Comment: 9 pages, 1 figure. Lemma 5 in Appendix D of the previous version was
not correct. This did not affect the results of the main tex
Survival probability in Generalized Rosenzweig-Porter random matrix ensemble
We study analytically and numerically the dynamics of the generalized
Rosenzweig-Porter model, which is known to possess three distinct phases:
ergodic, multifractal and localized phases. Our focus is on the survival
probability , the probability of finding the initial state after time
. In particular, if the system is initially prepared in a highly-excited
non-stationary state (wave packet) confined in space and containing a fixed
fraction of all eigenstates, we show that can be used as a dynamical
indicator to distinguish these three phases. Three main aspects are identified
in different phases. The ergodic phase is characterized by the standard
power-law decay of with periodic oscillations in time, surviving in the
thermodynamic limit, with frequency equals to the energy bandwidth of the wave
packet. In multifractal extended phase the survival probability shows an
exponential decay but the decay rate vanishes in the thermodynamic limit in a
non-trivial manner determined by the fractal dimension of wave functions.
Localized phase is characterized by the saturation value of ,
finite in the thermodynamic limit , which approaches
in this limit.Comment: 21 pages, 12 figures, 61 reference
Diffusion and criticality in undoped graphene with resonant scatterers
A general theory is developed to describe graphene with arbitrary number of
isolated impurities. The theory provides a basis for an efficient numerical
analysis of the charge transport and is applied to calculate the minimal
conductivity of graphene with resonant scatterers. In the case of smooth
resonant impurities conductivity grows logarithmically with increasing impurity
concentration, in agreement with renormalization group analysis for the
symmetry class DIII. For vacancies (or strong on-site potential impurities) the
conductivity saturates at a constant value that depends on the vacancy
distribution among two sublattices as expected for the symmetry class BDI.Comment: 4 pages, 2 figure
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