Details
| Original language | English |
|---|---|
| Pages (from-to) | L185-L190 |
| Journal | J. Phys. A |
| Volume | 24 |
| Issue number | 4 |
| Publication status | Published - 1991 |
Abstract
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In: J. Phys. A, Vol. 24, No. 4, 1991, p. L185-L190.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Valence bond states on quantum spin chains as ground states with spectral gap
AU - Fannes, M.
AU - Nachtergaele, B.
AU - Werner, R. F.
PY - 1991
Y1 - 1991
N2 - We show that every translation invariant valence bond state on a one-dimensional quantum spin chain arises as the unique ground state of a certain family of finite-range interactions. For each interaction in this family we show the existence of a non-zero spectral gap above the ground state energy. A special example of this structure is a state recently studied by Affleck et al. For the Hamiltonian studied by these authors we can estimate the gap, and prove that it lies between 1/3 and 10/27.
AB - We show that every translation invariant valence bond state on a one-dimensional quantum spin chain arises as the unique ground state of a certain family of finite-range interactions. For each interaction in this family we show the existence of a non-zero spectral gap above the ground state energy. A special example of this structure is a state recently studied by Affleck et al. For the Hamiltonian studied by these authors we can estimate the gap, and prove that it lies between 1/3 and 10/27.
U2 - 10.1088/0305-4470/24/4/005
DO - 10.1088/0305-4470/24/4/005
M3 - Article
VL - 24
SP - L185-L190
JO - J. Phys. A
JF - J. Phys. A
IS - 4
ER -