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How are the drude peak and quasiparticles related? 

Singularity
Medicine
Hubbard model
Quasiparticle
Integrable system
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The Drude peak and quasiparticles are related in the context of the Fredkin staircase model. This model exhibits persistent temporal oscillations of the current, leading to a delta-function singularity (Drude peak) in the a.c. conductivity at nonzero frequency . The Fredkin staircase has two families of ballistically propagating quasiparticles, each with infinitely many species . Despite the presence of these quasiparticles, charge transport is diffusive in the d.c. limit . The existence of these quasiparticles and the Drude peak in the model demonstrate the integrability of the Fredkin staircase . Additionally, the vertex corrections to the Drude peak in the Hubbard model are studied, and it is found that depending on the temperature, these corrections can either broaden or sharpen the Drude peak .

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Papers (4)Insight
Open access•Posted Content
Broadening and sharpening of the Drude peak through antiferromagnetic fluctuations
Paul Worm, Clemens Watzenböck, Matthias Pickem, Anna Kauch, Karsten Held 
29 Oct 2020-arXiv: Strongly Correlated Electrons
5 Citations
The provided paper does not directly discuss the relationship between the Drude peak and quasiparticles.
Open access•Journal Article•DOI
Fredkin Staircase: An Integrable System with a Finite-Frequency Drude Peak
27 Jan 2023-Physical Review Letters
1 Citations
The paper explains that the Fredkin staircase model exhibits persistent temporal oscillations of the current, leading to a delta-function singularity (Drude peak) in the a.c. conductivity at nonzero frequency. The quasiparticles in the model are ballistically propagating and have a highly non-gaussian dynamic structure factor. However, the charge transport is diffusive in the d.c. limit. The paper does not explicitly mention the relationship between the Drude peak and the quasiparticles.
Open access•Posted Content•DOI
The Fredkin staircase: An integrable system with a finite-frequency Drude peak
17 May 2022
The paper mentions that the Fredkin staircase model exhibits persistent temporal oscillations of the current, leading to a delta-function singularity (Drude peak) in the a.c. conductivity at nonzero frequency. It also mentions the presence of two families of ballistically propagating quasiparticles. However, it does not explicitly explain the relationship between the Drude peak and the quasiparticles.
Journal Article•DOI
Fredkin Staircase: An Integrable System with a Finite-Frequency Drude Peak.
Hans Raj Singh, Romain Vasseur, Sarang Gopalakrishnan 
17 May 2022-Physical Review Letters
3 Citations
The paper states that the Fredkin staircase model exhibits persistent temporal oscillations of the current, leading to a delta-function singularity (Drude peak) in the ac conductivity at nonzero frequency. It also mentions the presence of two families of ballistically propagating quasiparticles in the model. However, it does not explicitly explain the relationship between the Drude peak and the quasiparticles.

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