4.6 Article

Motion of an impurity in a two-leg ladder

Journal

PHYSICAL REVIEW B
Volume 103, Issue 9, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.103.094310

Keywords

-

Funding

  1. Italian MIUR through the PRIN2017 project CEnTral [20172H2SC4]

Ask authors/readers for more resources

The study focuses on the motion of an impurity in a two-leg ladder interacting with fermionic baths along each leg, bridging cold atom quantum simulators with an idealized description of transport processes in a layered heterostructure. Exact analytical results for the single-particle Green's function are obtained using the linked-cluster expansion, revealing that the long-time behavior is dominated by an intrinsic orthogonality catastrophe. Differences between intra- and interleg Green's functions are not significant in the long-time limit, but a subleading correction observed in the case of legs with different interaction strengths may be relevant for intermediate-time transport at material interfaces.
We study the motion of an impurity in a two-leg ladder interacting with two fermionic baths along each leg, a simple model bridging cold atom quantum simulators with an idealized description of the basic transport processes in a layered heterostructure. Using the linked-cluster expansion, we obtain exact analytical results for the single-particle Green's function and find that the long-time behavior is dominated by an intrinsic orthogonality catastrophe associated to the motion of the impurity in each one-dimensional chain. We explore both the case of two identical legs as well as the case where the legs are characterized by different interaction strengths: In the latter case, we observe a subleading correction which can be relevant for intermediate-time transport at an interface between different materials. In all the cases, we do not find significant differences between the intra- and interleg Green's functions in the long-time limit.

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