All Questions
Tagged with condensed-matter quantum-anomalies
8 questions with no upvoted or accepted answers
6
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300
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What intuition led to J. Wang and X.G. Wen's lattice formulation of the 3450 chiral gauge theory?
In the paper cited below, Juven Wang and Xiao-Gang Wen give an example of a lattice model that reduces to a chiral $U(1)$ gauge theory at low energy. The low energy theory is called the $3450$ model. ...
6
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875
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What is the reason for chiral anomalies in condensed matter systems?
If you consider a massless relativistic fermion theory and you perform a chiral transformation, then you realize that while the classical action remains invariant under this transformation the ...
4
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516
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Anomaly for Majorana fermion?
In 4-spacetime dimension, is there U(1) gauge field chiral anomaly associated with Majorana fermion (or I am not sure if it is equivalent, majorana representation)? Besides, I have read from several ...
2
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0
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182
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How can i calculate the Berry Curvature for the Dirac points in Haldane graphene?
I want to calculate the berry curvature at the Dirac points in graphene with complex next nearest hopping (haldane model) in order to show that it is non-zero at the dirac points and use it to compute ...
2
votes
0
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89
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Chiral anomaly in Weyl semimental
In Weyl semimetal, there is an analog of ABJ anomaly, which is a $E \cdot B$ term. The ABJ anomaly can be viewed as winding number because of the homotopy group of sphere $\pi_3(S^3)= \mathbb{Z}$ for ...
2
votes
0
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160
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"Mixed anomaly" in Weyl semimetal and its cancellation
The introduction to the problem
Suppose the Weyl semimetal (read please briefly the definition before reading the question). Because of the effective nature of the chirality the parameters $b_{0}, \...
1
vote
0
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223
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The anomalous Hall effect in Weyl semimetals
Suppose the semimetal - the solid material, in which the conducting and valence zones are intersected at isolated points - the so-called Weyl nodes. Near this points, the Hamiltonian of electrons is ...
0
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0
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118
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A Universe with only a single fermion
Is a Universe with only a single fermion anomalous instead of free from anomalies?
(e.g. electron, defined through fermi statistics with exchange statistics with a gained $-1$ sign, or rotating 360 ...