TY - JOUR
T1 - Proof of the Peierls instability in one dimension
AU - Kennedy, Tom
AU - Lieb, Elliott
PY - 1987/1/1
Y1 - 1987/1/1
N2 - Fröhlich and Peierls showed that a one-dimensional system with a half-filled band can lower its ground-state energy by a dimerization from period 1 to period 2. It was an open question whether or not this dimerization was exact, i.e., whether additional symmetry breaking would further lower the energy. We prove that the dimerization is exact for a periodic chain of infinitely massive, harmonically bound atoms with nearest-neighbor electron hopping matrix elements that vary linearly with the nearest-neighbor distance.
AB - Fröhlich and Peierls showed that a one-dimensional system with a half-filled band can lower its ground-state energy by a dimerization from period 1 to period 2. It was an open question whether or not this dimerization was exact, i.e., whether additional symmetry breaking would further lower the energy. We prove that the dimerization is exact for a periodic chain of infinitely massive, harmonically bound atoms with nearest-neighbor electron hopping matrix elements that vary linearly with the nearest-neighbor distance.
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U2 - 10.1103/PhysRevLett.59.1309
DO - 10.1103/PhysRevLett.59.1309
M3 - Article
C2 - 10035199
AN - SCOPUS:0001688204
SN - 0031-9007
VL - 59
SP - 1309
EP - 1312
JO - Physical Review Letters
JF - Physical Review Letters
IS - 12
ER -