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Emergent Fermi Surface in a Triangular-Lattice SU(4) Quantum Antiferromagnet.

Anna Keselman¹, Bela Bauer², Cenke Xu³

¹Kavli Institute for Theoretical Physics, University of California, Santa Barbara, California 93106-4030, USA.

Physical Review Letters

|September 25, 2020

Summary

We found evidence for a gapless liquid ground state in the SU(4) quantum antiferromagnet. This state features fractionalized fermionic partons and a U(1) gauge field, suggesting novel quantum phenomena.

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Area of Science:

Condensed Matter Physics
Quantum Magnetism
High Energy Physics

Background:

The SU(4) quantum antiferromagnet is a theoretical model with potential applications in various physical systems.
Understanding the ground state properties of such models is crucial for advancing quantum many-body physics.

Purpose of the Study:

To investigate the ground state properties of the SU(4) quantum antiferromagnet on a triangular lattice.
To explore the possibility of emergent phenomena, such as fractionalization and gauge fields, in this system.

Main Methods:

Numerical simulations using the density matrix renormalization group (DMRG) method.
Theoretical analysis using a U(1) gauge field theory framework.

Main Results:

Evidence for a gapless liquid ground state.
Observation of an emergent Fermi surface composed of fractionalized fermionic partons.
The partons are coupled to a U(1) gauge field.

Conclusions:

The SU(4) quantum antiferromagnet exhibits a complex, gapless ground state with emergent fractionalization.
The findings support the existence of deconfined fractional excitations in a quantum magnet.
This research provides a theoretical and numerical basis for experimental investigations.