Random transverse-field Ising chain with long-range interactions

Juhász, Róbert and Kovács, István and Iglói, Ferenc (2014) Random transverse-field Ising chain with long-range interactions. EUROPHYSICS LETTERS, 107 (4). p. 47008. ISSN 0295-5075

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Abstract

We study the low-energy properties of the long-range random transverse-field Ising chain with ferromagnetic interactions decaying as a power $\alpha$ 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 $z_c=\alpha$. Approaching the critical point, the correlation length diverges exponentially. In the critical point, the magnetization shows an $\alpha$ -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.

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