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Universal Features of Entanglement Entropy in the Honeycomb Hubbard Model
Jonathan D'Emidio1, Román Orús1,2,3, Nicolas Laflorencie1,4
1Donostia International Physics Center, P. Manuel de Lardizabal 4, 20018 Donostia-San Sebastián, Spain.
Physical Review Letters
|March 1, 2024
Summary
Researchers developed a new method to measure entanglement entropy in strongly interacting fermion systems. This technique successfully revealed universal features, like logarithmic terms and corner contributions, in a 2D model.
Area of Science:
- Condensed Matter Physics
- Quantum Many-Body Systems
Background:
- Entanglement entropy probes universal features in strongly interacting many-body systems.
- Numerical detection of these features in 2D systems is challenging due to precision requirements.
- Universal features in interacting fermion models remain largely unobserved.
Purpose of the Study:
- To develop a novel method for computing Rényi entanglement entropy in auxiliary-field quantum Monte Carlo simulations.
- To overcome numerical challenges in detecting subtle universal features in 2D interacting fermion systems.
- To extract universal subleading logarithmic terms and corner contributions in a specific 2D fermionic model.
Main Methods:
- Introduction of a new auxiliary-field quantum Monte Carlo method.
- Treating the entangling region as a stochastic variable.
- Focus on the half-filled honeycomb Hubbard model at zero temperature (T=0).
Main Results:
- Successfully extracted universal subleading logarithmic terms for the first time in a 2D interacting fermion model.
- Detected universal corner contributions from gapless fermions in the Dirac semi-metal phase.
- Observed universal Goldstone mode contributions in the antiferromagnetic Mott insulating phase.
- Found a pronounced enhancement of contributions at the Gross-Neveu-Yukawa critical point, dependent on the entangling cut.
Conclusions:
- The new method efficiently computes Rényi entanglement entropy, enabling the observation of universal features.
- Confirms the presence of universal physics, including corner contributions and Goldstone modes, in the studied 2D fermionic system.
- Highlights the method's potential for exploring complex quantum phenomena in strongly correlated systems.
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