Finite-volume energy spectrum, fractionalized strings, and low-energy effective field theory for the quantum dimer model on the square lattice

Banerjee, Debasish; Bögli, Michael; Hofmann, C. P.; Jiang, Fu-Jiun; Widmer, Philippe; Wiese, Uwe-Jens (2016). Finite-volume energy spectrum, fractionalized strings, and low-energy effective field theory for the quantum dimer model on the square lattice. Physical review. B - condensed matter and materials physics, 94(11) American Physical Society 10.1103/PhysRevB.94.115120

[img] Text
PhysRevB.94.115120.pdf - Published Version
Restricted to registered users only
Available under License Publisher holds Copyright.

Download (2MB) | Request a copy
[img]
Preview
Text
1511.00881v1.pdf - Submitted Version
Available under License Publisher holds Copyright.

Download (463kB) | Preview

We present detailed analytic calculations of finite-volume energy spectra, mean-field theory, as well as a systematic low-energy effective field theory for the square lattice quantum dimer model. An emergent approximate spontaneously broken SO(2) symmetry gives rise to a pseudo-Goldstone boson. Remarkably, this soft phononlike excitation, which is massless at the Rokhsar-Kivelson (RK) point, exists far beyond this point. The Goldstone physics is captured by a systematic low-energy effective field theory. We determine its low-energy parameters by matching the analytic effective field theory with exact diagonalization results. This confirms that the model exists in the columnar (and not in a plaquette or mixed) phase all the way to the RK point.

Item Type:

Journal Article (Original Article)

Division/Institute:

10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC)
08 Faculty of Science > Institute of Theoretical Physics

UniBE Contributor:

Banerjee, Debasish; Bögli, Michael; Jiang, Fu-Jiun; Widmer, Philippe and Wiese, Uwe-Jens

Subjects:

500 Science > 530 Physics

ISSN:

1098-0121

Publisher:

American Physical Society

Language:

English

Submitter:

Esther Fiechter

Date Deposited:

30 Sep 2016 08:25

Last Modified:

08 Aug 2018 10:56

Publisher DOI:

10.1103/PhysRevB.94.115120

ArXiv ID:

1511.00881

BORIS DOI:

10.7892/boris.88666

URI:

https://boris.unibe.ch/id/eprint/88666

Actions (login required)

Edit item Edit item
Provide Feedback