| Issue |
EPL
Volume 107, Number 4, August 2014
|
|
|---|---|---|
| Article Number | 47008 | |
| Number of page(s) | 6 | |
| Section | Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties | |
| DOI | https://doi.org/10.1209/0295-5075/107/47008 | |
| Published online | 22 August 2014 | |
Random transverse-field Ising chain with long-range interactions
1 Wigner Research Centre, Institute for Solid State Physics and Optics - H-1525 Budapest, P.O. Box 49, Hungary, EU
2 Institute of Theoretical Physics, Szeged University - H-6720 Szeged, Hungary, EU
(a) juhasz.robert@wigner.mta.hu
(b) kovacs.istvan@wigner.mta.hu
(c) igloi.ferenc@wigner.mta.hu
Received: 16 June 2014
Accepted: 29 July 2014
We study the low-energy properties of the long-range random transverse-field Ising chain with ferromagnetic interactions decaying as a power 
of the distance. Using variants of the strong-disorder renormalization group method, the critical behavior is found to be controlled by a strong-disorder fixed point with a finite dynamical exponent 
. Approaching the critical point, the correlation length diverges exponentially. In the critical point, the magnetization shows an -independent logarithmic finite-size scaling and the entanglement entropy satisfies the area law. These observations are argued to hold for other systems with long-range interactions, even in higher dimensions.
PACS: 75.10.Nr – Spin-glass and other random models / 05.30.Rt – Quantum phase transitions / 75.50.Lk – Spin glasses and other random magnets
© EPLA, 2014
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