Questions tagged [mesoscopic-physics]

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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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13 views

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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0answers
18 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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0answers
17 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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0answers
16 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 ...
1
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0answers
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}+\...
2
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0answers
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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0answers
75 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, ...
1
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1answer
196 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 ...
0
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2answers
208 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 ...
2
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0answers
92 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 ...
2
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0answers
93 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. ...
1
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0answers
41 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(...
5
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1answer
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 ...