Heat current magnification in classical and quantum spin networks

Upadhyay, Vipul; Gandhi, Poshika; Juneja, Rohit; Marathe, Rahul

doi:10.1103/physreve.107.034120

Phys. Rev. E

2023

DOI: 10.1103/physreve.107.034120

|View full text |Cite

Heat current magnification in classical and quantum spin networks

Vipul Upadhyay

Poshika Gandhi

Rohit Juneja

et al.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2024

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

References 62 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

Current circulation near additional energy degeneracy points in quadratic Fermionic networks

Upadhyay,

Marathe

2024

J. Stat. Mech.

View full text Add to dashboard Cite

We study heat and particle current circulation (CC) in quadratic Fermionic systems analysed using a general dissipative Lindbladian master equation. It was observed in an earlier study (Upadhyay et al 2023 Phys. Rev. E 107 034120) that CC occurs near the additional energy degeneracy point (AEDP) in Fermionic systems which have some form of asymmetry. We find general analytical expression to support this observation for quadratic Fermionic networks. We then apply these ideas to the Su–Schrieffer–Heeger (SSH) model with periodic boundary conditions and a tight binding model with unequal hopping strengths in the upper and lower branches. In both these cases, we find the specific conditions required for observing CC and study the behavior of these currents with various system parameters. We find that having unequal number of Fermionic sites in the upper and lower branches is enough for generating CC in the SSH model. However, this asymmetry is not adequate for the tight-binding model and we require unequal hopping strengths in the upper and lower branches to induce CC in this model. We also compare our results with the exact results obtained via the Non-equilibrium Green function formalism, and observe that the relationship between AEDP and CC also holds for the exact results. Finally, we observe that for certain system parameters, the onset point of particle and heat CC are not the same. Based on all these observations, we describe how carefully examining the energy spectrum of the system gives a great deal of information about the possibility and behavior of CC in Fermionic systems with asymmetries.

show abstract

Current circulation near additional energy degeneracy points in quadratic Fermionic networks

Upadhyay,

Marathe

2024

J. Stat. Mech.

View full text Add to dashboard Cite

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Heat current magnification in classical and quantum spin networks

Cited by 1 publication

References 62 publications

Current circulation near additional energy degeneracy points in quadratic Fermionic networks

Current circulation near additional energy degeneracy points in quadratic Fermionic networks

Contact Info

Product

Resources

About