dorsal/arxiv
View SchemaQuantum orders in an exact soluble model
| Authors | Xiao-Gang Wen |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0205004 |
| URL | https://arxiv.org/abs/quant-ph/0205004 |
| DOI | 10.1103/PhysRevLett.90.016803 |
| Journal | Phys.Rev.Lett.90:016803,2003 |
Abstract
We find all the exact eigenstates and eigenvalues of a spin-1/2 model on square lattice: $H=16g \sum_i S^y_i S^x_{i+x} S^y_{i+x+y} S^x_{i+y}$. We show that the ground states for $g<0$ and $g>0$ have different quantum orders described by Z2A and Z2B projective symmetry groups. The phase transition at $g=0$ represents a new kind of phase transitions that changes quantum orders but not symmetry. Both the Z2A and Z2B states are described by $Z_2$ lattice gauge theories at low energies. They have robust topologically degenerate ground states and gapless edge excitations.
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"abstract": "We find all the exact eigenstates and eigenvalues of a spin-1/2 model on\nsquare lattice: $H=16g \\sum_i S^y_i S^x_{i+x} S^y_{i+x+y} S^x_{i+y}$. We show\nthat the ground states for $g\u003c0$ and $g\u003e0$ have different quantum orders\ndescribed by Z2A and Z2B projective symmetry groups. The phase transition at\n$g=0$ represents a new kind of phase transitions that changes quantum orders\nbut not symmetry. Both the Z2A and Z2B states are described by $Z_2$ lattice\ngauge theories at low energies. They have robust topologically degenerate\nground states and gapless edge excitations.",
"arxiv_id": "quant-ph/0205004",
"authors": [
"Xiao-Gang Wen"
],
"categories": [
"quant-ph",
"cond-mat.str-el",
"hep-th"
],
"doi": "10.1103/PhysRevLett.90.016803",
"journal_ref": "Phys.Rev.Lett.90:016803,2003",
"title": "Quantum orders in an exact soluble model",
"url": "https://arxiv.org/abs/quant-ph/0205004"
},
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