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
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