4.6 Article

Nonuniversal prefactors in the correlation functions of one-dimensional quantum liquids

Journal

PHYSICAL REVIEW B
Volume 84, Issue 4, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.84.045408

Keywords

-

Funding

  1. NSF DMR [0906498]
  2. Texas NHARP [01889]
  3. FOM Foundation
  4. Alfred P. Sloan Foundation
  5. Division Of Materials Research
  6. Direct For Mathematical & Physical Scien [0906498] Funding Source: National Science Foundation

Ask authors/readers for more resources

We develop a general approach to calculating nonuniversal prefactors in static and dynamic correlation functions of one-dimensional (1D) quantum liquids at zero temperature by relating them to the finite-size scaling of certain matrix elements (form factors). This represents a powerful tool for extracting data valid in the thermodynamic limit from finite-size effects. As the main application, we consider weakly interacting spinless fermions with an arbitrary pair interaction potential, for which we perturbatively calculate certain prefactors in static and dynamic correlation functions. We also evaluate prefactors of the long-distance behavior of correlation functions nonperturbatively for the exactly solvable Lieb-Liniger model of 1D bosons.

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.6
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

No Data Available
No Data Available