dorsal/arxiv
View SchemaEntanglement Entropy in Random Quantum Spin-S Chains
| Authors | A. Saguia, M. S. Sarandy, B. Boechat, M. A. Continentino |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0703028 |
| URL | https://arxiv.org/abs/quant-ph/0703028 |
| DOI | 10.1103/PhysRevA.75.052329 |
| Journal | Phys. Rev. A 75, 052329 (2007) |
Abstract
We discuss the scaling of entanglement entropy in the random singlet phase (RSP) of disordered quantum magnetic chains of general spin-S. Through an analysis of the general structure of the RSP, we show that the entanglement entropy scales logarithmically with the size of a block and we provide a closed expression for this scaling. This result is applicable for arbitrary quantum spin chains in the RSP, being dependent only on the magnitude S of the spin. Remarkably, the logarithmic scaling holds for the disordered chain even if the pure chain with no disorder does not exhibit conformal invariance, as is the case for Heisenberg integer spin chains. Our conclusions are supported by explicit evaluations of the entanglement entropy for random spin-1 and spin-3/2 chains using an asymptotically exact real-space renormalization group approach.
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"abstract": "We discuss the scaling of entanglement entropy in the random singlet phase\n(RSP) of disordered quantum magnetic chains of general spin-S. Through an\nanalysis of the general structure of the RSP, we show that the entanglement\nentropy scales logarithmically with the size of a block and we provide a closed\nexpression for this scaling. This result is applicable for arbitrary quantum\nspin chains in the RSP, being dependent only on the magnitude S of the spin.\nRemarkably, the logarithmic scaling holds for the disordered chain even if the\npure chain with no disorder does not exhibit conformal invariance, as is the\ncase for Heisenberg integer spin chains. Our conclusions are supported by\nexplicit evaluations of the entanglement entropy for random spin-1 and spin-3/2\nchains using an asymptotically exact real-space renormalization group approach.",
"arxiv_id": "quant-ph/0703028",
"authors": [
"A. Saguia",
"M. S. Sarandy",
"B. Boechat",
"M. A. Continentino"
],
"categories": [
"quant-ph",
"cond-mat.dis-nn"
],
"doi": "10.1103/PhysRevA.75.052329",
"journal_ref": "Phys. Rev. A 75, 052329 (2007)",
"title": "Entanglement Entropy in Random Quantum Spin-S Chains",
"url": "https://arxiv.org/abs/quant-ph/0703028"
},
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