Volume 128, Number 1, October 2019
|Number of page(s)||7|
|Section||Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties|
|Published online||25 November 2019|
Proof of the absence of local conserved quantities in the XYZ chain with a magnetic field
Department of Physics, Gakushuin University - 1-5-1 Mejiro, Toshima-ku, Tokyo, 171-8588, Japan
Received: 8 October 2019
Accepted: 8 October 2019
We rigorously prove that the spin-(1/2) XYZ chain with a magnetic field has no local conserved quantity. Any nontrivial conserved quantity of this model is shown to be a sum of operators supported by contiguous sites with at least half of the entire system. We establish that the absence of local conserved quantity in concrete models is provable in a rigorous form.
PACS: 75.10.Jm – Quantized spin models, including quantum spin frustration / 75.10.Pq – Spin chain models / 05.30.-d – Quantum statistical mechanics
© EPLA, 2019
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