Abstract
We study the effect of acoustic phonons on the quantum phase transition in the O(N) model. We develop a renormalization group (RG) analysis near (3+1) space-time dimensions and derive the RG equations using an ϵ expansion. Our results indicate that when the number of flavors of the underlying O(N) model exceeds a critical number Nc=4, the quantum transition remains second-order of the Wilson-Fisher type while, for N≤4, it is a weakly first-order transition. We characterize this weakly first-order transition by a length scale ζ∗, below which the behavior appears to be critical. At finite temperatures for N≤4, a tricritical point separates the weakly first-order and second-order transitions.
| Original language | English |
|---|---|
| Article number | 035154 |
| Number of pages | 12 |
| Journal | Physical Review B |
| Volume | 106 |
| Issue number | 3 |
| DOIs | |
| State | Published - 29 Jul 2022 |
Bibliographical note
Publisher Copyright:© 2022 American Physical Society.
Funding
The authors acknowledge helpful discussions with A. Aharony, E. Altman, P. Chandra, S. Gazit, and A. Paramekanti. D.P. thanks the Israel Science Foundation for financial support (Grant No. 1803/18). E.S. thanks the Aspen Center for Physics (NSF Grant No. 1066293) for its hospitality, and financial support by the US-Israel Binational Science Foundation through awards No. 2016130 and 2018726, and by the Israel Science Foundation (ISF) Grant No. 993/19.
| Funders | Funder number |
|---|---|
| National Science Foundation | 1066293 |
| Aspen Center for Physics | |
| United States-Israel Binational Science Foundation | 2016130, 2018726, 993/19 |
| Israel Science Foundation | 1803/18 |