Dynamical scaling behavior of the two-dimensional random singlet state in the random $Q$ model

Abstract

In this work, we study the scaling relation of energy and length scales in the 2D random-singlet (RS) state of the random $Q$ model. To investigate the intrinsic energy scale of the spinon subsystem arising from the model, we develop a constrained subspace update algorithm within the framework of the stochastic series expansion method (SSE) to extract the singlet-triplet gap of the system. The 2D RS state exhibits scaling behavior similar to the infinite randomness fixed point (IRFP), at least within the length scales that we simulate. Furthermore, by rescaling the system size according to the strength of randomness, we observe that the data for the excitation gap and the width of the gap distribution collapse onto a single curve. This implies that the model with different strengths of randomness may correspond to the same fixed point.

5 pages, 3 figures

References in corpus (18)

• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Gapless quantum spin liquid ground state in the two-dimensional spin-1/2 triangular antiferromagnet YbMgGaO${}_4$
• Antiferromagnetic to valence-bond-soild transitions in two-dimensional SU(N) Heisenberg models with multi-spin interactions
• Valence Bonds in Random Quantum Magnets: Theory and Application to YbMgGaO4
• An anisotropic spin model of strong spin-orbit-coupled triangular antiferromagnets
• Loop updates for variational and projector quantum Monte Carlo simulations in the valence-bond basis
• Quantum spin-liquid behavior in the spin-1/2 random Heisenberg antiferromagnet on the triangular lattice
• Classical percolation transition in the diluted two-dimensional S=1/2 Heisenberg antiferromagnet
• Ground state projection of quantum spin systems in the valence bond basis
• Quantum spin-liquid behavior in the spin-1/2 random-bond Heisenberg antiferromagnet on the kagome lattice
• The Spinon Fermi Surface U(1) Spin Liquid in a Spin-Orbit-Coupled Triangular Lattice Mott Insulator YbMgGaO4
• Low-energy fixed points of random Heisenberg models
• Random-Singlet Phase in Disordered Two-Dimensional Quantum Magnets
• Random-exchange quantum Heisenberg antiferromagnets on the square lattice
• Randomness-induced quantum spin liquid behavior in the s=1/2 random J1-J2 Heisenberg antiferromagnet on the honeycomb lattice
• Nature of the low-energy excitations of two-dimensional diluted Heisenberg quantum antiferromagnets
• Quantum-critical scaling properties of the two-dimensional random-singlet state
• Characterizing Random-singlet State in Two-dimensional Frustrated Quantum Magnets and Implications for the Double Perovskite Sr${}_2$CuTe${}_{1-x}$W${}_x$O${}_6$

Cited by in corpus (2)

• Scaling and data collapse of two-dimensional random singlet state in magnetic field
• Disorder-induced spin excitation continuum and spin-glass ground state in the inverse spinel CuGa${}_2$O${}_4$