Quantum Monte Carlo study of the bond- and site-diluted transverse-field Ising model

Krämer C, Hörmann M, Schmidt KP (2025)

Publication Type: Journal article

Publication year: 2025

Journal

Physical Review B American Physical Society

Book Volume: 112

Article Number: 014206

Journal Issue: 1

DOI: 10.1103/wsv6-t3rl

Abstract

We study the transverse-field Ising model on a square lattice with bond and site dilution at zero temperature by stochastic series expansion quantum Monte Carlo simulations. Tuning the transverse field h and the dilution p, the quantum phase diagram of both models is explored. Both quantum phase diagrams show long-range order for small h and small p. The ordered phase of each is separated from the disordered (quantum) Griffiths phase by second-order phase transitions on two critical lines touching at a multicritical point. Using Binder ratios we locate quantum critical points with high accuracy. The order-parameter critical exponent β and the average correlation-length exponent νav are determined along the critical lines and at the multicritical points via finite-size scaling. We find three internally consistent sets of critical exponents and compare them with potentially connected universality classes. The quantum Griffiths phase in the vicinity of the phase transition lines is analyzed through the local susceptibility. Our results indicate that activated scaling occurs not only at the percolation transition, but also at the phase transition line for p smaller than the percolation threshold pc.

Authors with CRIS profile

Calvin Krämer Lehrstuhl für Theoretische Physik Max Hörmann Lehrstuhl für Theoretische Physik Kai Phillip Schmidt Professur für Theoretische Physik

How to cite

APA:

Krämer, C., Hörmann, M., & Schmidt, K.P. (2025). Quantum Monte Carlo study of the bond- and site-diluted transverse-field Ising model. Physical Review B, 112(1). https://doi.org/10.1103/wsv6-t3rl

MLA:

Krämer, Calvin, Max Hörmann, and Kai Phillip Schmidt. "Quantum Monte Carlo study of the bond- and site-diluted transverse-field Ising model." Physical Review B 112.1 (2025).

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