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2 votes
1 answer
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Why does mirror/inversion symmetry exclude nearest-neighbor spin-orbit coupling in the Kane-Mele model?

I've been reading about the Kane-Mele model and noticed that it does not include nearest-neighbor spin-orbit coupling, with explanations often pointing to mirror symmetry as the reason. Could someone ...
Frank's user avatar
  • 466
1 vote
0 answers
42 views

Can Zeeman effect be observed around black holes?

I'm trying to study the motion of charged-spinning test particles around a black hole immersed in the magnetic field. There will be spin-orbit coupling due to the spin of the particle, and external ...
MMS's user avatar
  • 31
1 vote
0 answers
202 views

How spin orbit coupling breaks mirror symmetry?

I have been studying in several research papers with statement that spin orbit coupling breaks the all three mirror symmetry in cubic crystals when the magnetization direction is along the (110) ...
UJM's user avatar
  • 163
0 votes
0 answers
91 views

Spin-orbit and internal magnetic field

I'm currently studying the fine structure of the hydrogen atom but there is something about spin-orbit interaction that I can't understand. The spin-orbit interaction adds a new term to the ...
Herr Feinmann's user avatar
0 votes
0 answers
134 views

Rashba spin orbit Hamiltonian

I am studying the rashba spin orbit interaction in graphene I know the effective Hamiltonian for RSOI in the presence of a perpendicular electric field ($E_z$) is $$ H_{RSO}=\frac{\alpha}{\hbar}(P_x\...
fa sh's user avatar
  • 1
0 votes
1 answer
557 views

Calculating the magnetic field of the Proton in Spin-orbit Coupling in Hydrogen Atom

I was reading in the Book: Introduction to Quantum Mechanics by David J. Griffiths. In chapter Time-independent Perturbation Theory, Section: Spin -Orbit Coupling. I understood that the spin–orbit ...
amanda's user avatar
  • 53
2 votes
2 answers
947 views

Origin of spin-orbit interaction

The spin-orbit interaction in a hydrogen atom is often explained as arising from an interaction energy $U=-\mathbf{m}\cdot\mathbf{B}$ where $\mathbf{m}$ is a magnetic moment due to the electron’s spin ...
Jilal's user avatar
  • 492
1 vote
0 answers
34 views

Strong spin-orbit coupling allowing for fast qubit manipulation in Ge based heterostructures

I have been reading about Ge/SiGe hole qubit resaerch and noticed that the strong intrinsic spin orbit coupling (SOC) replaces on-chip micromagnet often found on Si/SiGe based spin qubits. The ...
stratofortress's user avatar
1 vote
1 answer
1k views

Why do you need weak spin-orbit interaction for $LS$ coupling?

From my lecture notes, the residual electrostatic perturbation causes the orbital angular momentum to couple and also spin $L=l_1+l_2 \ ,\ S=s_1+s_2$ (and it's not clear how residual electrostatic ...
physicsnoob1000's user avatar
4 votes
3 answers
3k views

Spin Orbit Coupling Hamiltonians

I am really struggling with something fundamental. I keep coming across two versions of the hamiltonian for spin orbit coupling: $H_{soc}=\frac{\mu_B}{2c^2}(v \times E) \cdot \sigma $ $\mu_B =$ ...
sci-guy's user avatar
  • 817
16 votes
1 answer
2k views

What is "spin-orbit torque?"

I am trying really hard to understand the concept of spin-orbit torque. It is a new-ish discovery in the field of spintronics and has many applications for magnetic devices. The information that has ...
Physika's user avatar
  • 479
2 votes
1 answer
632 views

Spin Orbit ($LS$) interaction energy

Well, I am currently using a pretty old book by H.E White "Atomic Spectra", and he defined spin orbit interaction energy as the product of the resultant frequency and the projection of spin ...
Roshan Shrestha's user avatar
3 votes
1 answer
3k views

Spin-orbit coupling constant for rubidium

I have come across the following question in my course notes: The $5s\to 5p$ transition in rubidium is split into two components with wavelengths of 780nm and 795nm respectively. For the $5p$ state, ...
dplanet's user avatar
  • 145
30 votes
1 answer
8k views

How Fundamental is Spin-Orbit Coupling to Topological Insulators?

I'm well aware this is a very active area of research so the best answer one can give to this question may be incomplete. Topological states in condensed matter are well-known, even if not always ...
Logan M's user avatar
  • 4,574