35,283 research outputs found
Quantum criticality of the sub-ohmic spin-boson model
We revisit the critical behavior of the sub-ohmic spin-boson model. Analysis
of both the leading and subleading terms in the temperature dependence of the
inverse static local spin susceptibility at the quantum critical point,
calculated using a numerical renormalization-group method, provides evidence
that the quantum critical point is interacting in cases where the
quantum-to-classical mapping would predict mean-field behavior. The subleading
term is shown to be consistent with an w/T scaling of the local dynamical
susceptibility, as is the leading term. The frequency and temperature
dependences of the local spin susceptibility in the strong-coupling
(delocalized) regime are also presented. We attribute the violation of the
quantum-to-classical mapping to a Berry-phase term in a continuum path-integral
representation of the model. This effect connects the behavior discussed here
with its counterparts in models with continuous spin symmetry.Comment: 9 pages, 10 figure
Magnetic anisotropy of YbNi4P2
We report on transport and magnetic measurements between 1.8 and 400 K on
single crystalline YbNi4P2, which was recently reported to be a heavy fermion
system with a low lying ferromagnetic transition at T_C=0.17 K, based on data
from polycrystals. The tetragonal crystal structure of YbNi4P2 presents
quasi-one-dimensional Yb chains along the c direction. Here we show that at
high temperatures, the magnetic anisotropy of YbNi4P2 is dominated by the
crystal electrical field effect with an Ising-type behaviour, which gets more
pronounced towards lower temperatures. The electrical resistivity also reflects
the strong anisotropy of the crystal structure and favours transport along c,
the direction of the Yb chains.Comment: SCES 2011 proceedings, in pres
Hamilton-Jacobi Theory and Information Geometry
Recently, a method to dynamically define a divergence function for a
given statistical manifold by means of the
Hamilton-Jacobi theory associated with a suitable Lagrangian function
on has been proposed. Here we will review this
construction and lay the basis for an inverse problem where we assume the
divergence function to be known and we look for a Lagrangian function
for which is a complete solution of the associated
Hamilton-Jacobi theory. To apply these ideas to quantum systems, we have to
replace probability distributions with probability amplitudes.Comment: 8 page
Quasi-steady quasi-homogeneous description of the scale interactions in near-wall turbulence
By introducing a notion of an ideal large-scale filter, a formal statement is given of the hypothesis of the quasi-steady quasi-homogeneous nature of the interaction between the large and small scales in the near-wall part of turbulent flows. This made the derivations easier and more rigorous. A method is proposed to find the optimal large-scale filter by multi-objective optimization, with the first objective being a large correlation between large-scale fluctuations near the wall and in the layer at a certain finite distance from the wall, and the second objective being a small correlation between the small scales in the same layers. The filter was demonstrated to give good results. Within the quasi-steady quasi-homogeneous theory expansions for various quantities were found with respect to the amplitude of the large-scale fluctuations. Including the higher-order terms improved the agreement with numerical data. Interestingly, it turns out that the quasi-steady quasi-homogeneous theory implies a dependence of the mean profile log-law constants on the Reynolds number. The main overall result of the present work is the demonstration of the relevance of the quasi-steady quasi-homogeneous theory for near-wall turbulent flows
Fermi-surface collapse and dynamical scaling near a quantum critical point
Quantum criticality arises when a macroscopic phase of matter undergoes a
continuous transformation at zero temperature. While the collective
fluctuations at quantum-critical points are being increasingly recognized as
playing an important role in a wide range of quantum materials, the nature of
the underlying quantum-critical excitations remains poorly understood. Here we
report in-depth measurements of the Hall effect in the heavy-fermion metal
YbRh2Si2, a prototypical system for quantum criticality. We isolate a rapid
crossover of the isothermal Hall coefficient clearly connected to the
quantum-critical point from a smooth background contribution; the latter exists
away from the quantum-critical point and is detectable through our studies only
over a wide range of magnetic field. Importantly, the width of the critical
crossover is proportional to temperature, which violates the predictions of
conventional theory and is instead consistent with an energy over temperature,
E/T, scaling of the quantum-critical single-electron fluctuation spectrum. Our
results provide evidence that the quantum-dynamical scaling and a critical
Kondo breakdown simultaneously operate in the same material. Correspondingly,
we infer that macroscopic scale-invariant fluctuations emerge from the
microscopic many-body excitations associated with a collapsing Fermi-surface.
This insight is expected to be relevant to the unconventional
finite-temperature behavior in a broad range of strongly correlated quantum
systems.Comment: 5 pages, plus supporting materia
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