Renormalization group study of the two-dimensional random transverse-field Ising model

Abstract

The infinite disorder fixed point of the random transverse-field Ising model is expected to control the critical behavior of a large class of random quantum and stochastic systems having an order parameter with discrete symmetry. Here we study the model on the square lattice with a very efficient numerical implementation of the strong disorder renormalization group method, which makes us possible to treat finite samples of linear size up to $L=2048$. We have calculated sample dependent pseudo-critical points and studied their distribution, which is found to be characterized by the same shift and width exponent: $\nu =1.24(2)$. For different types of disorder the infinite disorder fixed point is shown to be characterized by the same set of critical exponents, for which we have obtained improved estimates: $x=0.982(15)$ and $\psi =0.48(2)$. We have also studied the scaling behavior of the magnetization in the vicinity of the critical point as well as dynamical scaling in the ordered and disordered Griffiths phases.

References in corpus (8)

• Rare region effects at classical, quantum, and non-equilibrium phase transitions
• Infinite-randomness critical point in the two-dimensional disordered contact process
• Entanglement entropy at infinite randomness fixed points in higher dimensions
• Entanglement Entropy in the Two-Dimensional Random Transverse Field Ising Model
• Distribution of pseudo-critical temperatures and lack of self-averaging in disordered Poland-Scheraga models with different loop exponents
• Strong Griffiths singularities in random systems and their relation to extreme value statistics
• Disorder induced rounding of the phase transition in the large q-state Potts model
• Finite-size scaling of pseudo-critical point distributions in the random transverse-field Ising chain

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