All Questions
Tagged with spin-models lattice-model
30
questions
6
votes
3
answers
1k
views
Why can we choose spin-1/2 degrees of freedom to commute?
Edit 2:
The previous title of this question was "Why are qubits bosonic?" Thanks to the answers that have been provided so far, I now realize I asked my question in a sloppy way. The ...
- 8,343
6
votes
2
answers
511
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Is there Difference Between 1D and 2D in Spin model?
The Motivation is That:In the Tensor Network method, they say 'time evolution MPS(Matrix Product State) work quite well in 1 Dimension'.
but as I think any 2D could be expressed by 1D
for example in ...
- 71
6
votes
1
answer
10k
views
Bogoliubov-de-Gennes (BdG) formalism of Hamiltonians
The Bogoliubov-de-Gennes (BdG) formalism of a Hamiltonian reduces the dimension of the Hilbert space we work on. For example, in 1D superconducting Hamiltonians with $N$ lattice sites, the actual ...
- 107
5
votes
1
answer
1k
views
What is breathing Kagome lattice?
I know what kagome lattice is. While reading some article I came to know the term breathing kagome lattice. Looked up the web didn't found any definitions of it.
My suspicion is that when hopping ...
- 988
4
votes
2
answers
2k
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Kagome Lattice: Spin-orbit coupling Hamiltonian in tight-binding models
Consider spin-orbit coupling (of strength $\lambda_1$) on lattice, with the below Hamiltonian
$$H = i \lambda_1 \sum_{<ij>} ~\frac{E_{ij} \times R_{ij}}{|E_{ij} \times R_{ij}|} \cdot \sigma ~...
- 359
4
votes
0
answers
88
views
What is the connection between vertex/spin models and gauge theory?
In the usual formulation of lattice gauge theories, one considers gauge variables on the links of a lattice (often hypercubic) taking value in some representation of a gauge group, $U_{ij} \in G$. The ...
- 3,710
3
votes
2
answers
652
views
Jordan-Wigner transformation for lattice models without $U(1)$ symmetry
The Jordan-Wigner transformation is a powerful approach to studying one-dimensional spin models. The following dictionary between spin operators and creation/annihilation operators for fermions allows ...
- 759
3
votes
2
answers
233
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Lattice gauge and spin network
I see the similarity between the Lattice Gauge and Spin Network.
(For example, both theories depict the node part as quantum (the latter is explained as spin).)
Are there any other mathematical, ...
- 301
2
votes
2
answers
420
views
How to understand a Hamiltonian of the form $c^\dagger \sigma^x c$?
In a 2-dimensional lattice Dirac model (a discretized Hamiltonian on a lattice, the model could be found in this dissertation, equation (2.19)), I found a Hamiltonian with terms like:
$$ H = \sum_{m,n}...
- 706
2
votes
0
answers
91
views
Current Operators on Lattice
Peierls substitution method by taking the functional derivative of Hamiltonian can be used to determine the form of current-operator in continuum model (See Bruus-Flensberg) as well as lattice model. ...
- 199
2
votes
0
answers
61
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(In)finite lattice in quantum statistical mechanics: validity of phase classifications and TQFT [closed]
I would like to understand the motivation for studying quantum statistical mechanics, such as spin models, on an infinite lattice, or in other word, in the operator algebraic framework. I learned that ...
- 115
2
votes
0
answers
123
views
Spin glass observables in Monte Carlo simulations
I am currently simulating an Edwards-Anderson spin glass using standard Metropolis Monte Carlo techniques. The spins are placed on a 3D cubic lattice with periodic boundaries and take on Ising values (...
- 21
2
votes
0
answers
170
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$T$-duality symmetry of $SU(2)_1$ WZW model
For bosons at self-dual radius, the CFT has T-duality symmetry. My question is can we realize this symmetry on the lattice model? for example antiferromagnetic spin chain.
- 21
2
votes
0
answers
475
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Can someone explain to me the Rokhsar-Kivelson Hamiltonian? [closed]
The following paper shows the hamiltonian of the 2D quantum dimer gas (page 2)
http://www-thphys.physics.ox.ac.uk/people/ClaudioCastelnovo/Talks/050209_MIT.pdf
Here are some questions I have.
Why ...
- 244
1
vote
3
answers
297
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What is spin on a lattice site is it electrons or atom as a whole?
Hi I wanted to know what is spin half in lattice site means? Is it electron or atom or total spins half of electrons in a atomic 1d chain or 2d?
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