Scaling laws for weakly disordered 1D flat bands
نویسندگان
چکیده
منابع مشابه
Species survival and scaling laws in hostile and disordered environments.
In this work we study the likelihood of survival of single-species in the context of hostile and disordered environments. Population dynamics in this environment, as modeled by the Fisher equation, is characterized by negative average growth rate, except in some random spatially distributed patches that may support life. In particular, we are interested in the phase diagram of the survival prob...
متن کاملScaling Laws For Macrodispersion
Scaling laws for the macrodispersivity of ow through porous media are derived from the assumed scaling properties of geological heterogeneity. If is the exponent characterizing uid scaling and is the exponent which characterizes geological heterogeneity, then a simple scaling relation is = maxfa2 ; 1 a2 g. Typically, 0 < < 1, and 12 < < 1, leading to an anomalous, or scale dependent, di usion p...
متن کاملWeakly-coupled quasi-1D helical modes in disordered 3D topological insulator quantum wires
Disorder remains a key limitation in the search for robust signatures of topological superconductivity in condensed matter. Whereas clean semiconducting quantum wires gave promising results discussed in terms of Majorana bound states, disorder makes the interpretation more complex. Quantum wires of 3D topological insulators offer a serious alternative due to their perfectly-transmitted mode. An...
متن کاملAnalytical study of the propagation of acoustic waves in a 1D weakly disordered lattice
This paper presents an analytical approach of the propagation of an acoustic wave through a normally distributed disordered lattice made up of Helmholtz resonators connected to a cylindrical duct. This approach allows to determine analytically the exact transmission coefficient of a weakly disordered lattice. Analytical results are compared to a wellknown numerical method based on a matrix prod...
متن کاملCrossover from weakly-disordered Fermi liquid to Luttinger liquid in quasi-1D nanostructures
We investigated the temperature–dependent conductance of a long and narrow highmobility channel, which is formed from an AlGaAs/GaAs heterostructure using the split-gate technique. When the channel is wider than 100 nm, in the range of 1-10 K we observe logarithmic temperature dependence, which is a key signature of the interaction correction in the quasi-onedimensional weakly-disordered Fermi ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical
سال: 2019
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8121/ab1615