Transverse-spin correlations of the random transverse-field Ising model

Abstract

The critical behavior of the random transverse-field Ising model in finite dimensional lattices is governed by infinite disorder fixed points, several properties of which have already been calculated by the use of the strong disorder renormalization group (SDRG) method. Here we extend these studies and calculate the connected transverse-spin correlation function by a numerical implementation of the SDRG method in $d=1,2$ and $3$ dimensions. At the critical point an algebraic decay of the form $\sim r^{-{\eta }_t}$ is found, with a decay exponent being approximately ${\eta }_t\approx 2+2d$. In $d=1$ the results are related to dimer-dimer correlations in the random AF XX-chain and have been tested by numerical calculations using free-fermionic techniques.

6 pages, 5 figures

References in corpus (4)

• Critical behavior and Griffiths effects in the disordered contact process
• Entanglement entropy at infinite randomness fixed points in higher dimensions
• Exact relationship between the entanglement entropies of XY and quantum Ising chains
• Entanglement Entropy in the Two-Dimensional Random Transverse Field Ising Model

Cited by in corpus (3)

• Strong Disorder RG approach - a short review of recent developments
• The quasi-periodic quantum Ising transition in 1D
• Quantum criticality in Ising chains with random hyperuniform couplings