Questions tagged [mesoscopic-physics]

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Difference between Luttinger liquid and Beyond Luttinger liquid paradigm

I am writing a paper and trying to understand the difference between Haldane's Luttinger liquid and the modern treatment of interaction between bosonic excitations in 1-D fermion systems which is ...
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16 views

Connecting two reservoirs

When we connect two reservoirs kept at $\mu_{1}$ and $\mu_{2}$ respectively the potential difference is given by $(-e) V=\left(\mu_{1}-\mu_{2}\right)$. While if the conduction of electrons occurs ...
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11 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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15 views

What are the reasons for these mesoscopic parameters?

There are some orders of magnitudes which are used in mesoscopic physics experiments. I came across them in a book. The equations for such order of magnitudes generally contain constants to the system ...
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25 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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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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41 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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23 views

Determining the position and spectral weight of Andreev states from a retarded Green Function

I'm trying to understand a result from the paper Josephson current through a correlated quantum level: Andreev states and $\pi$ junction behavior by Vecino, Martin-Rodero and Yetati (2003). ArXiv link ...
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44 views

Is the hierarchy of Andreev bound state transmission probabilities fixed?

My question is regarding Andreev bound states and their transmission probabilities. But to make this self-contained, lets quickly recap, for which I will draw from Tosi, L., Metzger, C., Goffman, M. F....
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122 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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2answers
115 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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82 views

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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57 views

Josephson energy versus magnetic field in S-Nanowire-S junctions

I was reading the proposal Microwave transitions as a signature of coherent parity mixing effects in the Majorana-transmon qubit by Ginossar and Grosfeld (2014) in which they envision a superconductor-...
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82 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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36 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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1k views

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 ...