Questions tagged [spin-orbit]

Use this tag for questions relating to the "spin-orbit" effect/interaction/coupling/torque. This tag is often discussed in quantum mechanics and condensed matter physics. It is a relativistic effect that describes a single particle whose (linear or angular) momentum is coupled to the spin degree of freedom in the presence of a potential well.

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What is a p-wave superconductor in 1-dimension often referred in the Kitaev model? What term in the hamiltonian makes it P wave?

I am currently reading papers related to Majorana zero modes observation in 1D nanowire systems. I am very new to the field and I read everywhere that the presence of spin-orbit interaction, magnetic ...
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Why does the illustration below just show $J = 1/2$ and $J = 3/2$ for $n = 2$?

for example $p^4$ on $n = 2$, $l = 1$ would have $J = 2$ as $S = 1$ and $L = 1$. However there are just two not 4 levels for $J$ depicted here
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Spin orbit coupling in TMDC

I am doing studies on 2D materials, especially graphene and transitional metal dichalcogenides (TMDC). But I always have a question on the spin-orbit coupling (SOC) in TMDC: why does the spin-orbit ...
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Energy Separations in Term Scheme of Helium

I have been given the following term scheme for Helium: The bottom level corresponds to the ground state $1s^2$ term symbol while the 4 above it are the term symbols of the $1s^12p^1$ excited state. ...
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Thomas Precession on Neutron Stars

We know that Thomas Precession is a relativistic correction that is applied to a particle spin that adds an angular velocity to the spin of the particle that moves along a curvilinear orbit linked to ...
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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 ...
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Time Reserval Symmetry Operator on Spin Orbit Coupling

Suppose the spin orbit coupling term is written below. $$H_{soc} = \xi L\cdot\sigma$$ where, $\xi$ is the strength of the spin orbit coupling, $L$ and $\sigma$ are angular momentum and pauli matrix ...
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How to undertstand the shape of $t_{2g}$ orbital $|xy⟩\pm i|yz⟩$?

It is well defined that under the crystal field splitting, d orbital will be splitted to $e_{g}$ and $t_{2g}$ orbital. By choosing the basis as the linear combiantion of real basis, $t_{2g}$ orbital ...
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Spin-orbit coupling in a Mott insulator with $J=1/2$

It seems that spin-orbit coupling in a Mott insulator with $J=1/2$ can have bond-dependent hamiltonians, as discussed in G. Jackeli 2009 PRL. But I don't understand the proof in this paper about the ...
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Crystal field and spin orbit coupling of $\rm Sr_{2}IrO_{4}$

I am recently studying the transition metal compounds like $\rm Sr_{2}IrO_{4}$. Unfortunately I am a rookie in atomic physics and I couldn't understand the so-called $J_{eff}=1/2$ Mott state as ...
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What is the relation between atomic number and spin orbit coupling

We know that the spin-orbit coupling (SOC) energy of germanium is greater than that of silicon. It's because the atomic size of germanium is larger. But how does this atomic size (atomic number) ...
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In Russell-Saunders coupling, how do I find the microstates of a certain term?

A question very similar to mine has been already asked, and partially answered. The "partially" part is why I am asking it. Consider a $d^2$ configuration of an isolated atom. There are 45 ...
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Finding the first-order perturbation of the energy of a hydrogen atom due to Spin Orbit coupling

I am given an exercise on perturbation theory involving an electron in a hydrogen atom in the presence of a constant magnetic field $\vec{B} = B_z \hat{z}$. Due to Zeeman effect and Spin-Orbit ...
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Book Recommendation for spin-orbit coupling

I am wondering if there were any recommendations for any books that are around graduate level in regards to the discussion of spin-orbit coupling and the Rashba spin-orbit coupling
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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\...
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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 ...
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Spin-orbit interaction in the frame of the nucleus

When I derived the spin orbit interaction, I switched to the electron's reference frame, so it feels a magnetic field $B$. after calculations I get the spin orbit interaction in the electron's frame ...
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Why does spin-orbit coupling lead to a nonzero Berry curvature?

Many theories consider spin orbit coupling to be a prerequisite for a nonzero Berry curvature, and therefore, for the classical anomalous Hall effect. Here, the spin orbit coupling is defined as: $$ ...
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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 ...
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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 $ $\mu_B =$ ...
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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 ...
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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 ...
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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, ...
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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 ...
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