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Quantum Kinetic Theory of the Linear Response for Weakly Disordered Multiband Systems

Autor: Valet, Thierry, Raimondi, Roberto

A quantum kinetic theory of the linear response to an electric field is provided from a controlled expansion of the Keldysh theory at leading order, for a general multiband electron system with weak scalar disorder. The response is uniquely partition

Externí odkaz: http://arxiv.org/abs/2410.08975

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Dynamics of the collision of two nearly equal solitary waves for the Zakharov-Kuznetsov equation

Autor: Pilod, Didier, Valet, Frédéric

We study the dynamics of the collision of two solitary waves for the Zakharov-Kuznetsov equation in dimension $2$ and $3$. We describe the evolution of the solution behaving as a sum of $2$-solitary waves of nearly equal speeds at time $t=-\infty$ up

Externí odkaz: http://arxiv.org/abs/2403.02262

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Asymptotic stability of a finite sum of solitary waves for the Zakharov-Kuznetsov equation

Autor: Pilod, Didier, Valet, Frédéric

We prove the asymptotic stability of a finite sum of well-ordered solitary waves for the Zakharov-Kuznetsov equation in dimensions two and three. Moreover, we derive a qualitative version of the orbital stability result which turns out to be useful f

Externí odkaz: http://arxiv.org/abs/2312.17721

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Semiclassical kinetic theory for systems with non-trivial quantum geometry and the expectation value of physical quantities

Autor: Valet, Thierry, Raimondi, Roberto

Publikováno v: EPL 143 (2023) 26004

Starting from the Keldysh theory, for a general low energy $N$-band Hamiltonian in the clean limit, we perform a manifestly $\smash{U(1) \times SU(N)}$ gauge invariant semiclassical expansion. A generalized Berry curvature tensor is shown to control

Externí odkaz: http://arxiv.org/abs/2210.09905

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Decay of solitary waves of fractional Korteweg-de Vries type equations

Autor: Eychenne, Arnaud, Valet, Frédéric

We study the solitary waves of fractional Korteweg-de Vries type equations, that are related to the $1$-dimensional semi-linear fractional equations: \begin{align*} \vert D \vert^\alpha u + u -f(u)=0, \end{align*} with $\alpha\in (0,2)$, a prescribed

Externí odkaz: http://arxiv.org/abs/2210.07966

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Strongly interacting solitary waves for the fractional modified Korteweg-de Vries equation

Autor: Eychenne, Arnaud, Valet, Frédéric

We study one particular asymptotic behaviour of a solution of the fractional modified Korteweg-de Vries equation (also known as the dispersion generalised modified Benjamin-Ono equation): \begin{align}\tag{fmKdV} \partial_t u + \partial_x (-\vert D \

Externí odkaz: http://arxiv.org/abs/2209.03841

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