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Parent Hamiltonian for the chiral spin liquid

Ronny Thomale, Eliot Kapit, Darrell F. Schroeter, and Martin Greiter
Phys. Rev. B 80, 104406 – Published 8 September 2009

Abstract

We present a method for constructing parent Hamiltonians for the chiral spin liquid. We find two distinct Hamiltonians for which the chiral spin liquid on a square lattice is an exact zero-energy ground state. We diagonalize both Hamiltonians numerically for 16-site lattices, and find that the chiral spin liquid, modulo its twofold topological degeneracy, is indeed the unique ground state for one Hamiltonian, while it is not unique for the other.

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  • Received 20 May 2009

DOI:https://doi.org/10.1103/PhysRevB.80.104406

©2009 American Physical Society

Authors & Affiliations

Ronny Thomale1, Eliot Kapit2, Darrell F. Schroeter3, and Martin Greiter1

  • 1Institut für Theorie der Kondensierten Materie, Universität Karlsruhe, 76128 Karlsruhe, Germany
  • 2Department of Physics, Cornell University, Ithaca, New York 14853, USA
  • 3Department of Physics, Reed College, Portland, Oregon 97202, USA

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Issue

Vol. 80, Iss. 10 — 1 September 2009

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