Questions tagged [mesoscopic-physics]

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In electronic quantum circuits, how can I imagine "things" being in parallel or in series?

I trying to read this paper on the use of Luttinger liquids theory in quantum circuits: https://arxiv.org/abs/1301.4159 In the abstract it says: [...] Here we investigate the conductance of ...
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84 views

What is the meaning of Thouless energy?

Wikipedia article says "a measure of the sensitivity of energy levels to a change in the boundary conditions of the system", which I don't really understand. Thouless energy is defined as $$...
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54 views

How does phase coherence length depend on elastic collisions?

In the context of electron transport, it is stated in many references that the elastic scattering does not destroy phase coherence, but inelastic scattering is the source of the phase loss of ...
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Quantum-Classical Hybrid theories: How useful are they?

I have seen several attempts at building a consistent quantum-classical theory, i.e., a theory where a quantum (sub) system interacts with a classical one somehow. Examples: (1) https://iopscience.iop....
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Is there a violation in the Onsager-Kelvin relation in Normal metal - superconductor junctions?

I'm currently reading the paper https://journals.aps.org/prb/pdf/10.1103/PhysRevB.48.15198 It is about charge $I$ and heat $I_H$ currents in NS junctions due to temperature $(\Delta T)$ and voltage $(...
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22 views

Connecting conductors with different Fermi levels. Properties of a reservoir

Suppose we have a reserve whose chemical potential is $\mu_{A}$. There is a conductor whose chemical potential is $\mu_{B}$. $\mu_{A}>\mu_{B}$. We connect the conductor with the reservoir. What ...
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26 views

Energy of a three-dimensional system

The energy of a three-dimensional system of dimensions $L_x$, $L_y$, $L_z$, is given by, $$\varepsilon\left(n_{x}, n_{y}, n_{z}\right)=\frac{\hbar}{2 m}\left[\left(\frac{\pi n_{x}}{L_{x}}\right)^{2}+\...
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23 views

Adding new fermions to a two-dimensional space

Suppose we have a two-dimensional space where we can seat electrons. Now, is it so that even before we start adding electrons the single electron energy levels already exist and as soon as we begin ...
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147 views

Characteristic lengths in SNS Josephson Junction

An S-N-S Josephson junction is formed by two Superconducting (S) leads separated by a normal metal (N) which acts like the weak link. While studying, I often encounter the words diffusive, long, ...
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300 views

How to utilize the Rashba effect in spin field effect transistor?

The conventional nano-electronics are confronting many bottlenecks and spin-based devices have become the candidate for the next-generation nano-electronics (spintronics). A semiconducting channel ...
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304 views

The simplest heat engine

Heat engines are one of the concepts we are taught in school. We discuss Carnot engine, and various types of engine cycles and we calculate efficiency and the work produced by them. We are also shown ...
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Derivation of the Keldysh-Non-Linear-Sigma model

I have to give a presentation on the Keldysh Non Linear Sigma model in a proseminar at my university. I am new to the topic and I have had some problems with understanding the literature. My main ...
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129 views

Does the proximity effect in semiconductor/superconductor heterostructures require an accumulation layer

I've recently been looking at literature on the proximity effect in semiconductor-superconductor heterostructures, where the semiconductor takes on superconductivity over mesoscopic distances. ...
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47 views

Landauer's formula with non-reciprocal tunneling probability

The Landauer's formula for ballistic transport in a mesoscopic conductor is often derived by assuming the transmission probability of the channel follows reciprocity symmetry, i.e. $I \propto \int M(...
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What is meant by phase coherence of electrons?

I came across a term "phase coherent electron devices" in the book Condensed Matter Field Theory by Atland and Simons. What is meant my phase coherent electrons (coherence is a term generally talked ...