2012
DOI: 10.1103/physrevb.86.245121
|View full text |Cite
|
Sign up to set email alerts
|

Monte Carlo study of aU(1)×U(1)loop model with modular invariance

Abstract: We study a U (1) × U (1) system in (2+1)-dimensions with long-range interactions and mutual statistics. The model has the same form after the application of operations from the modular group, a property which we call modular invariance. Using the modular invariance of the model, we propose a possible phase diagram. We obtain a sign-free reformulation of the model and study it in Monte Carlo. This study confirms our proposed phase diagram. We use the modular invariance to analytically determine the current-curr… Show more

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1
1
1

Citation Types

1
24
0

Year Published

2013
2013
2018
2018

Publication Types

Select...
7

Relationship

5
2

Authors

Journals

citations
Cited by 8 publications
(25 citation statements)
references
References 49 publications
1
24
0
Order By: Relevance
“…The phase diagram contains a topological phase, two phases where one of the Uð1Þ symmetries is broken, and a phase where both symmetries are broken. There is a direct transition between the phases with one broken symmetry, which, if it were continuous, is a candidate for a deconfined critical transition [32]. The surface of our bosonic topological phase is thought to have a similar field theory to that in our previous work [31,32], and so we expect that the interpretations of the phases and phase transitions are the same in both models.…”
Section: Symmetric Surface Phase With Topological Ordermentioning
confidence: 65%
See 1 more Smart Citation
“…The phase diagram contains a topological phase, two phases where one of the Uð1Þ symmetries is broken, and a phase where both symmetries are broken. There is a direct transition between the phases with one broken symmetry, which, if it were continuous, is a candidate for a deconfined critical transition [32]. The surface of our bosonic topological phase is thought to have a similar field theory to that in our previous work [31,32], and so we expect that the interpretations of the phases and phase transitions are the same in both models.…”
Section: Symmetric Surface Phase With Topological Ordermentioning
confidence: 65%
“…We now operate with the constrained sums over the integer-valued currents Q ρ ðrÞ and J ρ ðrÞ, taken to be "outside-most" sums in the partition sum. We change to new independent summation variables on each link [32]:…”
Section: Discussionmentioning
confidence: 99%
“…[36]. Specifically, integrating out the gauge fields c 1 and c 2 yields intraspecies marginally long-range interactions parametrized by…”
Section: B Dualities For Generalized Two-flavor Modelsmentioning
confidence: 99%
“…(103) discussed in the context of self-dual N ¼ 2 QED 3 ; it is precisely this symmetry that enabled a sign-free reformulation and Monte Carlo study of the model in Ref. [36].…”
Section: B Dualities For Generalized Two-flavor Modelsmentioning
confidence: 99%
See 1 more Smart Citation