Zobrazeno 1 - 10
of 514
pro vyhledávání: '"A. P. Yurkevich"'
The combination of recent results due to Yu and Chen [Proc. AMS 150(4), 2020, 1749-1765] and to Bostan and Yurkevich [Proc. AMS 150(5), 2022, 2131-2136] shows that the 3-D Euclidean shape of the square Clifford torus is uniquely determined by its iso
Externí odkaz:
http://arxiv.org/abs/2411.05643
We consider how the absence of thermalisation affects the classical Coulomb blockade regime in quantum dots. By solving the quantum kinetic equation in the experimentally accessible regime when the dot has two relevant occupation states, we calculate
Externí odkaz:
http://arxiv.org/abs/2405.12653
In this article, we study systems of $n \geq 1$, not necessarily linear, discrete differential equations (DDEs) of order $k \geq 1$ with one catalytic variable. We provide a constructive and elementary proof of algebraicity of the solutions of such e
Externí odkaz:
http://arxiv.org/abs/2310.12812
Autor:
Fürnsinn, Florian, Yurkevich, Sergey
We provide a complete classification of the algebraicity of (generalized) hypergeometric functions with no restriction on the set of their parameters. Our characterization relies on the interlacing criteria of Christol (1987) and Beukers-Heckman (198
Externí odkaz:
http://arxiv.org/abs/2308.12855
In recent experiments on conductance of one-dimensional (1D) channels in ultra-clean samples, a diverse set of plateaus were found at fractions of the quantum of conductance in zero magnetic field. We consider a discrete model of strongly interacting
Externí odkaz:
http://arxiv.org/abs/2307.07877
We study the interplay between quasi-periodic disorder and superconductivity in a 1D tight-binding model with the quasi-periodic modulation of on-site energies that follow the Fibonacci rule and all the eigenstates are multifractal. As a signature of
Externí odkaz:
http://arxiv.org/abs/2307.05009
Publikováno v:
Phys. Rev. Lett. 131, 206303 (2023)
We investigate non-equilibrium transport properties of a quantum dot in the Coulomb blockade regime under the condition of negligible inelastic scattering during the dwelling time of the electrons in the dot. Using the quantum kinetic equation we sho
Externí odkaz:
http://arxiv.org/abs/2306.07122
Publikováno v:
J. Phys.: Condens. Matter 35 475302 (2023)
We investigate the Coulomb blockade in quantum dots asymmetrically coupled to the leads for an arbitrary voltage bias focusing on the regime where electrons do not thermalise during their dwell time in the dot. By solving the quantum kinetic equation
Externí odkaz:
http://arxiv.org/abs/2304.09665
The $N$th power of a polynomial matrix of fixed size and degree can be computed by binary powering as fast as multiplying two polynomials of linear degree in~$N$. When Fast Fourier Transform (FFT) is available, the resulting complexity is \emph{softl
Externí odkaz:
http://arxiv.org/abs/2302.04299
A constant term sequence is a sequence of rational numbers whose $n$-th term is the constant term of $P^n(\boldsymbol{x}) Q(\boldsymbol{x})$, where $P(\boldsymbol{x})$ and $Q(\boldsymbol{x})$ are multivariate Laurent polynomials. While the generating
Externí odkaz:
http://arxiv.org/abs/2212.10116