Machine learning reveals features of spinon Fermi surface

Abstract

With rapid progress in simulation of strongly interacting quantum Hamiltonians, the challenge in characterizing unknown phases becomes a bottleneck for scientific progress. We demonstrate that a Quantum-Classical hybrid approach (QuCl) of mining sampled projective snapshots with interpretable classical machine learning can unveil signatures of seemingly featureless quantum states. The Kitaev-Heisenberg model on a honeycomb lattice under external magnetic field presents an ideal system to test QuCl, where simulations have found an intermediate gapless phase (IGP) sandwiched between known phases, launching a debate over its elusive nature. We use the correlator convolutional neural network, trained on labeled projective snapshots, in conjunction with regularization path analysis to identify signatures of phases. We show that QuCl reproduces known features of established phases. Significantly, we also identify a signature of the IGP in the spin channel perpendicular to the field direction, which we interpret as a signature of Friedel oscillations of gapless spinons forming a Fermi surface. Our predictions can guide future experimental searches for spin liquids.

arXiv comment9 pages + 7 pages supplemental

References in corpus (41)

• Discussion of "Least angle regression" by Efron et al
• Rejoinder to "Least angle regression" by Efron et al
• Discussion of "Least angle regression" by Efron et al
• Least Angle Regression
• Discussion of "Least angle regression" by Efron et al
• Discussion of "Least angle regression" by Efron et al
• Discussion of "Least angle regression" by Efron et al
• Discussion of "Least angle regression" by Efron et al
• Discussion of "Least angle regression" by Efron et al
• Discussion of "Least angle regression" by Efron et al
• Anyons in an exactly solved model and beyond
• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• On the Measurement of Qubits
• Predicting Many Properties of a Quantum System from Very Few Measurements
• The ITensor Software Library for Tensor Network Calculations
• Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid
• A Field Guide to Spin Liquids
• Physics of the Kitaev model: fractionalization, dynamical correlations, and material connections
• Exact results for spin dynamics and fractionization in the Kitaev Model
• Provably efficient machine learning for quantum many-body problems
• Emergence of a Field-Driven U(1) Spin Liquid in the Kitaev Honeycomb Model
• Friedel Oscillations and Charge Density Waves in Chains and Ladders
• Imaging spinon density modulations in a 2D quantum spin liquid
• Dynamics of the Kitaev-Heisenberg Model
• Perfect Sampling with Unitary Tensor Networks
• Robust non-Abelian spin liquid and possible intermediate phase in antiferromagnetic Kitaev model with magnetic field
• Machine Learning ${\mathbb{Z}}_2$ Quantum Spin Liquids with Quasi-particle Statistics
• Dynamical and Topological Properties of the Kitaev Model in a [111] Magnetic Field
• Spinon Fermi surface in a cluster Mott insulator model on a triangular lattice and possible application to 1T-TaS${}_2$
• Magnetic field induced intermediate quantum spin-liquid with a spinon Fermi surface
• Correlator Convolutional Neural Networks: An Interpretable Architecture for Image-like Quantum Matter Data
• Field-induced quantum spin liquid in the Kitaev-Heisenberg model and its relation to $\alpha$-RuCl${}_3$
• Signatures of magnetic-field-driven quantum phase transitions in the entanglement entropy and spin dynamics of the Kitaev honeycomb model
• Charge Friedel oscillations in a Mott insulator
• Machine learning discovery of new phases in programmable quantum simulator snapshots
• Revealing the Phase Diagram of Kitaev Materials by Machine Learning: Cooperation and Competition between Spin Liquids
• Tuning topological orders by a conical magnetic field in the Kitaev model
• Anyon dynamics in field-driven phases of the anisotropic Kitaev model
• Two-Magnon Bound States in the Kitaev Model in a $[111]$-Field
• Gapless to gapless phase transitions in quantum spin chains
• Detection of long-range entanglement in gapped quantum spin liquids by local measurements

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