Bilayer Heisenberg quantum

The simplest case is when the parameter A multiplies all terms on a subset of the bonds. An example is the bilayer Heisenberg quantum antiferromagnet with Hamiltonian... 

The Hamiltonian of the resulting bilayer Heisenberg quantum antiferromagnet reads... 

Figure 4 Sketch of the bilayer Heisenberg quantum antiferromagnet. Each lattice site is occupied by a quantum spin-J,...

The quantum-to-classical mapping follows the same procedure as for the clean bilayer quantum Heisenberg model above. The result is an unusual diluted three-dimensional classical Heisenberg model. Because the impurities in the quantum system are quenched (time-independent), the equivalent classical Heisenberg model has line defects parallel to the imaginary time direction. The classical Hamiltonian is given by... 

Table 3 Critical Exponents of the Generic Transition, Percolation Transition, and Multicritical Point of the Dimer-Diluted Bilayer Quantum Heisenberg Antiferromagnet...

Gonventional Scaling and Universality in a Disordered Bilayer Quantum Heisenberg Antiferromagnet. 

Finite-Size Scaling Analysis of the Quantum Critical Point of S = 1/2 Heisenberg Antiferromagnetic Bilayers. 

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