Exciton Analog of the Peierls Instability of One‐Dimensional Metals

1966 ◽  
Vol 44 (10) ◽  
pp. 4005-4006 ◽  
Author(s):  
R. E. Merrifield
Keyword(s):  
One Dimensional ◽  
Peierls Instability

Peierls instability in spinless one-dimensional conductors

1987 ◽  
Vol 36 (4) ◽  
pp. 2257-2262 ◽  
Author(s):  
E. R. Gagliano ◽  
C. R. Proetto ◽  
C. A. Balseiro
Keyword(s):  
One Dimensional ◽  
Peierls Instability

Peierls Instability in One-Dimensional Borine Wire on Si(001)

2006 ◽  
Vol 128 (35) ◽  
pp. 11340-11341 ◽  
Author(s):  
Jin-Ho Choi ◽  
Jun-Hyung Cho
Keyword(s):  
One Dimensional ◽  
Peierls Instability

HUBBARD CHAIN EXTENDED TO INCORPORATE THE PEIERLS INSTABILITY

1992 ◽  
Vol 06 (11) ◽  
pp. 637-647
Author(s):  
ADRIAAN M. J. SCHAKEL
Keyword(s):  
Sigma Model ◽  
Qualitative Difference ◽  
Fundamental Property ◽  
Nonlinear Sigma Model ◽  
One Dimensional ◽  
Long Wavelength ◽  
Peierls Instability ◽  
Two Phases ◽  
The Continuum ◽  
Topological Term

The Hubbard chain is extended so as to incorporate the Peierls instability which is a fundamental property of one-dimensional metals. The resulting theory is analysed in the continuum. In the limit of low-energy and long-wavelength it is described by the O(3) nonlinear sigma model. It is argued that the theory has two phases. In one phase the excitation spectrum is gapless, while in the other phase it has a gap. This qualitative difference between the two states is shown to arise from the fact that in the massless phase the O(3) model acquires a topological term. Besides changing the spectrum of the theory, this term is shown to also change statistics.

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