Non-power-law universality in one-dimensional quasicrystals

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

-continuity properties of one-dimensional quasicrystals

We apply the Jitomirskaya-Last extension of the Gilbert-Pearson theory to discrete one-dimensional Schrr odinger operators with potentials arising from generalized Fibonacci sequences. We prove for certain rotation numbers that for every value of the coup ling constant, there exists an > 0 such that the corresponding operator has purely-continuous spectrum. This result follows from uniform uppe...

متن کامل

Dynamical Upper Bounds for One-dimensional Quasicrystals

Following the Killip-Kiselev-Last method, we prove quantum dynamical upper bounds for discrete one-dimensional Schrödinger operators with Sturmian potentials. These bounds hold for sufficiently large coupling, almost every rotation number, and every phase.

متن کامل

Log-dimensional Spectral Properties of One-dimensional Quasicrystals

We consider discrete one-dimensional Schrödinger operators on the whole line and establish a criterion for continuity of spectral measures with respect to log-Hausdorff measures. We apply this result to operators with Sturmian potentials and thereby prove logarithmic quantum dynamical lower bounds for all coupling constants and almost all rotation numbers, uniformly in the phase.

متن کامل

Universality of anomalous one-dimensional heat conductivity.

In one and two dimensions, transport coefficients may diverge in the thermodynamic limit due to long-time correlation of the corresponding currents. The effective asymptotic behavior is addressed with reference to the problem of heat transport in one-dimensional crystals, modeled by chains of classical nonlinear oscillators. Extensive accurate equilibrium and nonequilibrium numerical simulation...

متن کامل

Universality for distances in power-law random graphs

We survey the recent work on phase transition and distances in various random graph models with general degree sequences. We focus on inhomogeneous random graphs, the configuration model and affine preferential attachment models, and pay special attention to the setting where these random graphs have a power-law degree sequence. This means that the proportion of vertices with degree k in large ...

متن کامل

ذخیره 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: Physical Review B

سال: 2018

ISSN: 2469-9950,2469-9969

DOI: 10.1103/physrevb.98.134201