Quantum percolation in two-dimensional antiferromagnets

Abstract

The interplay of geometric randomness and strong quantum fluctuations is an exciting topic in quantum many-body physics, leading to the emergence of novel quantum phases in strongly correlated electron systems. Recent investigations have focused on the case of homogeneous site and bond dilution in the quantum antiferromagnet on the square lattice, reporting a classical geometric percolation transition between magnetic order and disorder. In this study we show how inhomogeneous bond dilution leads to percolative quantum phase transitions, which we have studied extensively by quantum Monte Carlo simulations. Quantum percolation introduces a new class of two-dimensional spin liquids, characterized by an infinite percolating network with vanishing antiferromagnetic order parameter.

4 pages, 4 figures; published version

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• Ordering near the percolation threshold in models of 2D interacting bosons with quenched dilution
• Collective effects in spin-crossover chains with exchange interaction
• Highly Dispersive Scattering From Defects In Non-Collinear Magnets
• Quantum-critical scaling properties of the two-dimensional random-singlet state
• High-resolution real-space evaluation of the self-energy operator of disordered lattices: Gade singularity, spin-orbit effects and p-wave superconductivity
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• Complex critical exponents for percolation transitions in Josephson-junction arrays, antiferromagnets, and interacting bosons
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• Quantum percolation on Lieb Lattices
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• Percolation via combined electrostatic and chemical doping in complex oxide films
• Quantum transition between magnetically ordered and Mott glass phases
• Universal quantum criticality at finite temperature for two-dimensional disordered and clean dimerized spin-$\frac{1}{2}$ antiferromagnets
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• Computing quantum phase transitions
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