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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. ...
Chiral Anomaly's user avatar
6 votes
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875 views

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 ...
Hipparkhos's user avatar
4 votes
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516 views

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 ...
qc2014's user avatar
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2 votes
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182 views

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 ...
anonymous2506's user avatar
2 votes
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89 views

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 ...
lol's user avatar
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2 votes
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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}, \...
Name YYY's user avatar
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1 vote
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223 views

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 ...
Name YYY's user avatar
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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 ...
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