Quantum Monte Carlo Study of Hydrodynamics in Systems with Particle-Hole Symmetry
Issued Date
2025-05-23
Resource Type
ISSN
00319007
eISSN
10797114
Scopus ID
2-s2.0-105006513878
Journal Title
Physical Review Letters
Volume
134
Issue
20
Rights Holder(s)
SCOPUS
Bibliographic Citation
Physical Review Letters Vol.134 No.20 (2025)
Suggested Citation
Reingruber A., Pongsangangan K., Assaad F., Ulybyshev M. Quantum Monte Carlo Study of Hydrodynamics in Systems with Particle-Hole Symmetry. Physical Review Letters Vol.134 No.20 (2025). doi:10.1103/PhysRevLett.134.206303 Retrieved from: https://repository.li.mahidol.ac.th/handle/123456789/110462
Title
Quantum Monte Carlo Study of Hydrodynamics in Systems with Particle-Hole Symmetry
Author(s)
Corresponding Author(s)
Other Contributor(s)
Abstract
The emergence of hydrodynamic behavior in electronic flow within clean, particle-hole-symmetric systems at half filling is a nontrivial problem. Navier-Stokes (NS) equations describe the momentum flow, while experimental measurements typically capture the current flow profiles. However, in particle-hole-symmetric systems, electric current and momentum flow are entirely decoupled, because electrons and holes move in opposite directions with equal distribution functions. This makes it challenging to link NS equations to observed flow patterns. In this Letter, we demonstrate that the hydrodynamic behavior of the charge current at half filling can emerge despite the absence of momentum flow. By combining Boltzmann transport theory with numerically exact quantum Monte Carlo simulations of clean graphene samples, we show that NS-Type equations can be derived directly for the charge current, eliminating the need for any additional mechanism coupling the velocity field and charge current in explaining the experimentally observed hydrodynamic flow profiles in graphene at half filling. We show that a new transport quantity-the current diffusion coefficient-replaces viscosity and expect this description to be valid for any particle-hole-symmetric system. Our results provide new insights into the interpretation of experimental data and demonstrate how quantum Monte Carlo calculations can serve as an alternative to experiments in transport measurements to verify the kinetic theory results.