Kondo phase diagram of quark matter

Abstract

We discuss the ground state of a quark matter containing heavy quarks as impurities in a simple model which exhibits the QCD Kondo effect. The model includes a current-current interaction with the color exchange between a light quark ($\psi$) and a heavy quark ($\Psi$). We introduce a gap function $\Delta \sim ⟨\bar{\psi }\Psi ⟩$ which represents the correlation between $\psi$ and $\Psi$, and perform the mean-field approximation assuming that heavy quarks are uniformly distributed. Values of the gap $\Delta$ measure the strength of mixing between $\psi$ and $\Psi$. The gap equation obtained from the minimum of the thermodynamical potential together with the condition for the heavy-quark number conservation turns out to allow for nonzero values of the gap as the most stable state. We draw a phase diagram in $\mu$ (the light-quark chemical potential) and $\lambda$ (an analog of the heavy-quark chemical potential) plane, and identify the region where the QCD Kondo effect occurs.

13 pages, 5 figures

References in corpus (12)

• A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
• Color superconductivity in dense quark matter
• Topological Kondo effect with Majorana fermions
• Kondo effect on the surface of 3D topological insulators: Signatures in scanning tunneling spectroscopy
• Bethe ansatz solution of the topological Kondo model
• Non-Fermi liquid manifold in a Majorana device
• Theory of Defect-Induced Kondo Effect in Graphene: Numerical Renormalization Group Study
• Overscreened Kondo effect, (color) superconductivity and Shiba states in Dirac metals and quark matter
• Topology and stability of the Kondo phase in quark matter
• Interplay between chiral symmetry breaking and the QCD Kondo effect
• Kondo cloud of single heavy quark in cold and dense matter
• Dirac fermions and Kondo effect

Cited by in corpus (20)

• Heavy Hadrons in Nuclear Matter
• Strong-Field Physics in QED and QCD: From Fundamentals to Applications
• Conformal field theory analysis for QCD Kondo effect
• Emergent QCD Kondo effect in two-flavor color superconducting phase
• Spin-isospin Kondo effects for ${\Sigma }_c$ and ${\Sigma }_c^{\ast }$ baryons and $\bar{D}$ and ${\bar{D}}^{\ast }$ mesons
• Kondo effect driven by chirality imbalance
• QCD Kondo excitons
• Chiral separation effect catalyzed by heavy impurities
• Two relativistic Kondo effects: Classification with particle and antiparticle impurities
• Kondo effect with Wilson fermions
• Spin-orbital magnetic response of relativistic fermions with band hybridization
• Heavy-quark spin polarization induced by the Kondo effect in a magnetic field
• Strongly interacting matter in extreme magnetic fields
• Dirac Kondo effect under magnetic catalysis
• Analysis of the QCD Kondo phase using random matrices
• Mesic nuclei with a heavy antiquark
• Interacting quark matter effects on the structure of compact stars
• QCD Kondo effect for single heavy quark in chiral-symmetry broken phase
• Holographic mean field theory and Kondo lattice
• Competing color superconductivity and color Kondo effect in quark matter