Phys. Rev. Lett. 82, 4906–4909 (1999)Chalker-Coddington Network Model is Quantum CriticalReceived 18 December 1998; published in the issue dated 14 June 1999 We show that the localization transition in the integer quantum Hall effect as described by the Chalker-Coddington network model is quantum critical. We first map the anisotropic network model to the problem of diagonalizing a one-dimensional non-Hermitian noncompact supersymmetric lattice Hamiltonian of interacting bosons and fermions. Its behavior is investigated numerically using the density matrix renormalization group method, and critical behavior is found at the plateau transition. This result is confirmed by a generalization of the Lieb-Schultz-Mattis theorem. © 1999 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.82.4906
DOI:
10.1103/PhysRevLett.82.4906
PACS:
73.40.Hm, 71.30.+h, 75.10.Jm
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