Abstract
We study the low-energy properties of the long-range random transverse-field Ising chain with ferromagnetic interactions decaying as a power α 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 zc = α. 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.
Original language | English (US) |
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Article number | 47008 |
Journal | EPL |
Volume | 107 |
Issue number | 4 |
DOIs | |
State | Published - Aug 1 2014 |
ASJC Scopus subject areas
- General Physics and Astronomy