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Graduate Student - Experimental Condensed Matter Physics


Apr
26
comment Basic questions in Majorana fermions
I always thought "Majorana fermions" are called fermions because they still obey fermion commutation relations and anticommute with other (CAR-algebra). They don't obey Fermi statistics though, which makes them "weird" fermions.
Apr
21
answered Energy needed to lift and bring down an object
Apr
21
comment How electricity, and generating electricity works on the atomic level?
Please see britneyspears.ac/physics/dos/dos.htm for an example. They introduce the particle-wave duality and then calculate the density of states. I reckon you don't like the idea that a particle is a wave and vice versa? ; ) A wave has a wavevector $k$ and it also has a defined velocity just like a particle. And yes, if you conncet two wires, you will have a denser density of states in principle, but you have new spatial boundary conditions for your electrons.
Apr
21
comment How electricity, and generating electricity works on the atomic level?
In principle you could track back every single energy band, they're just so close together that it's just not a feasible idea. Eventually you change from a sum to an integral and you integrate over momentum-space to get the density of states. This integral is indeed made up of small areas in k-space that have a length of $\frac{2\pi}{a}$ where $a$ is the lattice constant. And yes the electronic wave function (of the conduction electrons) spreads over the the entire 1kg crystal. The desriptions are "almost" equivalent, either little balls that move or a wave that is spread out.
Apr
21
comment Effects of a very large magnetic field on the human body
I'm not a chemist but how is a Van der Waals Bond related to a water molecule? The bond between $H$ and $O$ is polar covalent and the bond between $H_2O$ molecules is a $H$-bond. All of them should be harder to break than a simple dipole-dipole (van der Waals) interaction.
Apr
20
comment How electricity, and generating electricity works on the atomic level?
Hello AlanSE, why do you say these lines never existed? If you agree that let's say a hydrogen atom has sharp energy levels due to the Bohr-Sommerfeld quantization, then if you put two hydrogen atoms close to each other their wavefunctions will overlap and you end up with new sharp energy levels that define the new system (i.e. energy levels of a molecule). The same is even more amazing for $10^{23}$ of these atoms in a crystal and you will get bands in the continuum limit instead of single energy levels. E.g. quantum dots in a laser have these sharp energy levels due to confinement.
Apr
20
revised How electricity, and generating electricity works on the atomic level?
added 177 characters in body
Apr
20
revised How electricity, and generating electricity works on the atomic level?
added 177 characters in body
Apr
20
answered How electricity, and generating electricity works on the atomic level?
Apr
20
comment Why does a superconductor obey particle-hole symmetry?
Hello Luboš, could you elaborate why a semiconductor or a conductor can't have particle-hole symmetry but a conductor does? Why do you say that $E$ is not -> $2E_0 - E$? Also, what about excitons? They should come close to a Bogoliubov description.
Feb
8
awarded  Teacher
Feb
8
revised Confusion regarding photons?
deleted 1 characters in body
Feb
8
answered Confusion regarding photons?
Jan
19
accepted What conductance is measured for the quantum spin Hall state when the Hall conductance vanishes?
Dec
19
asked What conductance is measured for the quantum spin Hall state when the Hall conductance vanishes?
Dec
16
comment How is the topological $Z_2$ invariant related to the Chern number? (e.g. for a topological insulator)
Thank you, this explanation did help! But I'm still trying to make an analogy to the Quantum Hall state where the Chern number was exactly equal to the number of one-way edge states (i.e. = winding number). How would you describe the relation of the "spin Chern number" to the number of edge states or the # of band crossings for a TI? I'm focusing on this picture because it would help me understand the topology (e.g. compare the "Seven bridges of Koenigsberg" from Euler".)
Dec
8
revised Why quantum mechanics?
deleted 61 characters in body
Dec
8
answered Why quantum mechanics?
Dec
5
awarded  Scholar
Dec
5
awarded  Supporter