Edge inflation of standard lattices produces robust flat bands and zero-energy states whose count is controlled by matching deficiency N-2ν(G) even without translational symmetry.
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The S=1/2 Heisenberg antiferromagnet on the Tasaki square lattice exhibits an order-disorder phase transition belonging to the 2D Ising universality class just below the saturation magnetic field.
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Localization and Flat Bands in Edge-Inflated Lattices
Edge inflation of standard lattices produces robust flat bands and zero-energy states whose count is controlled by matching deficiency N-2ν(G) even without translational symmetry.
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Quantum Heisenberg antiferromagnet in a field on the Tasaki square lattice
The S=1/2 Heisenberg antiferromagnet on the Tasaki square lattice exhibits an order-disorder phase transition belonging to the 2D Ising universality class just below the saturation magnetic field.