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Superconductivity is the transmission of current with no resistive losses, and is one of the most active areas of condensed matter physics research.
1
vote
1
answer
283
views
Eigenvectors of the BCS Hamiltonian
In introductory superconductivity one often studies the BCS Hamiltonian
$$H=
\begin{pmatrix}
\xi & -\Delta \\
-\Delta & -\xi
\end{pmatrix}
$$
I can find the Eigenvalues and Eigenvectors by writing …
4
votes
0
answers
82
views
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 $ …
0
votes
0
answers
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views
Deriving Continuum BdG equation from Tight-Binding model for Graphene-Superconductor interface
Background
My question concerns Beenakker's paper on "Specular Andreev Reflection in Graphene": cond-mat/0604594 (arxiv)/Phys.Rev.Lett. 97, 067007 (The same topic is also discussed in Rev. Mod. Phys. …
0
votes
Accepted
Why is Andreev reflection in a NS junction retroreflective?
Solution
The solution is actually quite simple. Let us for simplicity consider two dimensions $(x,y)$. The electron and hole dispersions are
\begin{equation}
\mathbf{k}^2 = \frac{2m}{\hbar}\left(\mu + …
1
vote
1
answer
248
views
Why is Andreev reflection in a NS junction retroreflective?
Background
Consider a normal metal (N) - superconductor (S) junction. Assume N is in the region $x<0$ and S is in the region $x>0$. In addition, let us assume that the system is invariant in the $y$ a …
0
votes
1
answer
690
views
Electron and holes in tight binding Hamiltonian on two sublattices
Background
Say that I have a tight binding Hamiltonian (with spinless fermions) of the form
$$H = - 2t \sum_{ij} (c_i^{\dagger} c_j + h.c) - 2\mu \sum_i c^{\dagger}_i c_i$$
where we only sum over nea …