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.

UR - http://www.scopus.com/inward/record.url?scp=0001688204&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001688204&partnerID=8YFLogxK

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 -