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Setting Limits on Supersymmetry Using Simplified Models

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Published on: November 15, 2013

Boundary Criticality for the Gross-Neveu-Yukawa Models.

Huan Jiang¹, Yang Ge¹, Shao-Kai Jian¹

¹Tulane University, Department of Physics and Engineering Physics, New Orleans, Louisiana 70118, USA.

Physical Review Letters

|October 19, 2025

Summary

Researchers explored boundary criticality in Gross-Neveu-Yukawa (GNY) models. They discovered diverse critical behaviors at the quantum phase transition to a charge density wave (CDW) insulator using quantum Monte Carlo simulations.

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Area of Science:

Condensed Matter Physics
Quantum Field Theory

Background:

The Gross-Neveu-Yukawa (GNY) model describes interacting Dirac fermions and scalar bosons.
Boundary critical phenomena are crucial for understanding phase transitions in finite systems.

Purpose of the Study:

To investigate the boundary criticality of GNY models with interacting Dirac fermions on a honeycomb lattice.
To identify and characterize different types of boundary critical transitions.

Main Methods:

Determinant quantum Monte Carlo (QMC) simulations were employed to study the system.
A perturbative 4-ε renormalization group (RG) approach was developed to calculate critical exponents.

Main Results:

Rich boundary criticalities, including ordinary, special, and extraordinary transitions, were uncovered at the quantum phase transition to a charge density wave (CDW) insulator.
Specific boundary conditions for Dirac fermions (Dirichlet) and the boson field (Dirichlet/Neumann) were found to enrich the critical behavior.

Conclusions:

The study provides a comprehensive understanding of boundary criticality in GNY models.
The developed framework and findings offer theoretical predictions for experimental verification and generalize to other GNY universality classes.