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seen Jan 4 at 7:50

Nov
5
awarded  Yearling
Jul
2
awarded  Curious
Jan
16
awarded  Nice Question
Jan
4
accepted Dispersion of ferromagnetic ($E\propto k^2$) and antiferromagnetic ($E\propto k$) spin wave
Dec
19
comment Why there is a flat band for Kagome lattice?
No, your example is wrong. Because these states are neither complete nor linearly independent. Please check Thouless' paper
Dec
19
revised How are anyons possible? (another version)
deleted 6 characters in body
Dec
19
answered How are anyons possible? (another version)
Dec
19
comment Why there is a flat band for Kagome lattice?
Thouless has a theorem stating that the Wannier functions are exponentially localized if and only if the band has zero Chern number. The wave functions constructed above are of course localized, even though they are not exactly Wannier functions. Therefore I guess all the flat bands of this kind have zero Chern number. Does the destructive interference picture apply to bands with nonzero Chern number?
Dec
18
comment Why there is a flat band for Kagome lattice?
Thanks a lot! So the flat bands of this kind never have non-trivial Chern number, since there are Wannier functions which are well localized. Is that right? Therefore another question arises: how to explain the flat band with non-trivial Chern number following the same strategy?
Dec
18
awarded  Scholar
Dec
18
accepted Why there is a flat band for Kagome lattice?
Dec
11
asked Why there is a flat band for Kagome lattice?
Nov
5
awarded  Yearling
Apr
27
comment What is a $p_x + i p_y$ superconductor? Relation to topological superconductors
A small mistake: the matrix index in the expression of $\Delta(k)$ by using $\Delta_0$ and $\mathbf{d}$ should be taken after the matrix multiplication.
Apr
12
answered The difference between the Wannier function and atomic orbit in a tight binding model
Apr
3
comment A simple model that exhibits emergent symmetry?
Nope. There are $N$ $U(1)$ groups: $U(i,i+1), i=1,2,...,N$. $|\psi_1\rangle$ is invariant under the actions of half of there groups, and $|\psi_2\rangle$ the other half.
Apr
2
comment A simple model that exhibits emergent symmetry?
I've modified the answer, please have a look.
Apr
2
revised A simple model that exhibits emergent symmetry?
added 362 characters in body
Apr
1
revised A simple model that exhibits emergent symmetry?
deleted 26 characters in body
Apr
1
answered A simple model that exhibits emergent symmetry?