dorsal/arxiv
View SchemaOn the two-magnon bound states for the quantum Heisenberg chain with variable range exchange
| Authors | J. Dittrich, V. I. Inozemtsev |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9612008 |
| URL | https://arxiv.org/abs/solv-int/9612008 |
| DOI | 10.1142/S0217984997000554 |
Abstract
The spectrum of finite-difference two-magnon operator is investigated for quantum S=1/2 chain with variable range exchange of the form $h(j-k)\propto \sinh^{-2}a(j-k)$. It is found that usual bound state appears for some values of the total pseudomomentum of two magnons as for the Heisenberg chain with nearest-neighbor spin interaction. Besides this state, a new type of bound state with oscillating wave function appears at larger values of the total pseudomomentum.
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"abstract": "The spectrum of finite-difference two-magnon operator is investigated for\nquantum S=1/2 chain with variable range exchange of the form $h(j-k)\\propto\n\\sinh^{-2}a(j-k)$. It is found that usual bound state appears for some values\nof the total pseudomomentum of two magnons as for the Heisenberg chain with\nnearest-neighbor spin interaction. Besides this state, a new type of bound\nstate with oscillating wave function appears at larger values of the total\npseudomomentum.",
"arxiv_id": "solv-int/9612008",
"authors": [
"J. Dittrich",
"V. I. Inozemtsev"
],
"categories": [
"solv-int",
"cond-mat.stat-mech",
"nlin.SI"
],
"doi": "10.1142/S0217984997000554",
"title": "On the two-magnon bound states for the quantum Heisenberg chain with variable range exchange",
"url": "https://arxiv.org/abs/solv-int/9612008"
},
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