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1 vote
0 answers
70 views

Emergent higher symmetry breaking without topological order?

In this paper prof. Wen states that (p.6) a spontaneous higher symmetry broken state always corresponds to a topologically ordered state. Are there examples of simple (or not) quantum spin models ...
Kostas's user avatar
  • 29
1 vote
0 answers
77 views

Exact ground state degeneracy for quantum spin system with non commuting terms and its quantum phase transition?

Let's say I have a 2D quantum spin model of N spin-1/2 particles, with two terms: $$ H = -J \sum_N \prod_{i \in G} \sigma^x_i - h \sum_N \prod_{i \in G'} \sigma^z_i $$ The first is a collection of ...
Kostas's user avatar
  • 29
2 votes
1 answer
387 views

How can I actually get to the AKLT state from a product state in finite depth?

I'm currently learning about symmetry-protected topological phases in one dimension. The ground state of the AKLT model provides one such example. In particular, the AKLT state for any length $L$ ...
user196574's user avatar
  • 2,292
1 vote
1 answer
194 views

Valence Bond Solid order paramter

I'm confused about the valence bond solid (VBS) in condensed matter literature. The idea is a lattice is covered by spin singlets and thus spin rotational invariant. It seems that it's commonly ...
Histoscienology's user avatar
2 votes
1 answer
382 views

One-dimensional $SU(3)$ Heisenberg Model, the non-linear sigma model, $\theta$-term

Let's consider a one dimensional $SU(N)$ antiferromagnetic Heisenberg Model with an irreducible representation and its conjugate on alternating sites, such that they correspond to a Young tableaux ...
Alessandro's user avatar