Valence bond solid states with symplectic symmetry
نویسندگان
چکیده
منابع مشابه
Entanglement in Valence-Bond-Solid States
This article reviews the quantum entanglement in Valence-Bond-Solid (VBS) states defined on a lattice or a graph. The subject is presented in a self-contained and pedagogical way. The VBS state was first introduced in the celebrated paper by I. Affleck, T. Kennedy, E. H. Lieb and H. Tasaki (abbreviation AKLT is widely used). It became essential in condensed matter physics and quantum informatio...
متن کاملNovel Order Parameter to Characterize Valence-Bond-Solid States
We propose an order parameter to characterize valence-bond-solid (VBS) states in quantum spin chains, given by the ground-state expectation value of a unitary operator appearing in the Lieb-Schultz-Mattis argument. We show that the order parameter changes the sign according to the configuration of the valence bonds. This allows us to determine the phase transition point in between different VBS...
متن کاملThe valence bond solid in quasicrystals
A generalized model of Heisenberg quantum antiferromagnet on an arbitrary graph is constructed so that the VBS is the unique ground state. The norm of the base state and equal time multi point correlation functions are computed in terms of generalized hyper geometric functions. For the one-dimensional periodic Heisenberg model we present a method of computing multi point correlation functions b...
متن کاملEmergent SO(5) Symmetry at the Néel to Valence-Bond- Solid Transition Citation
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متن کاملEmergent SO(5) Symmetry at the Néel to Valence-Bond-Solid Transition.
We show numerically that the "deconfined" quantum critical point between the Néel antiferromagnet and the columnar valence-bond solid, for a square lattice of spin 1/2, has an emergent SO(5) symmetry. This symmetry allows the Néel vector and the valence-bond solid order parameter to be rotated into each other. It is a remarkable (2+1)-dimensional analogue of the SO(4)=[SU(2)×SU(2)]/Z(2) symmetr...
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ژورنال
عنوان ژورنال: Physical Review B
سال: 2008
ISSN: 1098-0121,1550-235X
DOI: 10.1103/physrevb.78.014430