Lattice Twisting Operators and Vertex Operators in Sine-Gordon Theory in One Dimension

Details Lattice Twisting Operators and Vertex Operators in Sine-Gordon Theory in One Dimension Lattice Twisting Operators and Vertex Operators in Sine-Gordon Theory in One Dimension

2001-06-04

arxiv.org/abs/cond-mat/0106043v1

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 3 figures

Scientific paper

10.1103/PhysRevB.65.153110

In one dimension, the exponential position operators introduced in a theory of polarization are identified with the twisting operators appearing in the Lieb-Schultz-Mattis argument, and their finite-size expectation values $z_L$ measure the overlap between the unique ground state and an excited state. Insulators are characterized by $z_{\infty}\neq 0$. We identify $z_L$ with ground-state expectation values of vertex operators in the sine-Gordon model. This allows an accurate detection of quantum phase transitions in the universality classes of the Gaussian model. We apply this theory to the half-filled extended Hubbard model and obtain agreement with the level-crossing approach.

Affiliated with

Also associated with

No associations

Rating

Lattice Twisting Operators and Vertex Operators in Sine-Gordon Theory in One Dimension does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Lattice Twisting Operators and Vertex Operators in Sine-Gordon Theory in One Dimension, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lattice Twisting Operators and Vertex Operators in Sine-Gordon Theory in One Dimension will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-114764