Local magnetic moments due to loop currents in metals

Abstract

We present Hartree-Fock calculations on a simple model to obtain the conditions of formation of local magnetic moments due to loop-currents $L_o$ and spin-loop currents $L_s$ and compare them to the conditions of formation of local spin-moments $M$ which were given long ago in a similar approximation by Anderson. A model with three degenerate orbitals sitting on an equilateral triangle, with on-site and nearest-neighbor repulsions $U$ and $V$ respectively, and inter-site kinetic energy, hybridizing with conduction electrons with a parameter $\Delta$ is investigated. $L_o$ and $L_s$ are promoted by large $V/\Delta$ and their magnitude is relatively unaffected by $U/\Delta$. Spin-magnetic moments $M$ promoted by large $U/\Delta$ on the other hand are adversely affected by $V/\Delta$. In this model, $L_o$ for $V$ multiplied by the number of neighbors is approximately the same as the $M$ promoted by $U$ in Anderson's local model for $M$. $L_o$ and $L_s$ are degenerate if exchange interactions and Hund's rule are neglected but $L_o$ is favored when they are included. Many of the qualitative results are visible in an expression for the Hartree-Fock ground state energy derived as a function of small $L_o,L_s$ and $M$. Numerical minimization of the Hartree-Fock energy is presented for larger values. We also briefly discuss the connection and differences of the interaction generated orbital currents and spin-currents discussed here and generalized to a lattice with the topological states in metals and semi-conductors.

arXiv comment7 pages

References in corpus (21)

• Berry Phase Effects on Electronic Properties
• Non Fermi-Liquid States and Pairing of a general Model of Copper-Oxide Metals
• Spontaneous time reversal symmetry breaking in the pseudogap state of high-Tc superconductors
• Ground State and Hidden Symmetry of Magic Angle Graphene at Even Integer Filling
• Kagome superconductors AV${}_3$Sb${}_5$ (A=K, Rb, Cs)
• Three-state nematicity and magneto-optical Kerr effect in the charge density waves in kagome superconductors
• Detection and Implications of a Time-reversal breaking state in underdoped Cuprates
• Linear in Temperature Resistivity and Associated Mysteries
• Evidence of an odd-parity hidden order in a spin-orbit coupled correlated iridate
• Electron Interactions and Scaling Relations for Optical Excitations in Carbon Nanotubes
• A global inversion-symmetry-broken phase inside the pseudogap region of YBa${}_2$Cu${}_3$O${}_y$
• Orbital currents in extended Hubbard models of high-T${}_c$ cuprates
• Theory of the Quantum Critical Fluctuations in Cuprates
• Magnetic memory and spontaneous vortices in a van der Waals superconductor
• Time-reversal symmetry breaking hidden order in Sr${}_2$(Ir,Rh)O${}_4$
• Phase Diagram of a Three Orbital Model for the high-T${}_c$ cuprates
• Quantum-Critical Fluctuations in 2D Metals: Strange Metals and Superconductivity in Antiferromagnets and in Cuprates
• Ordered Loop Current States in Bilayer Graphene
• Anomalous mirror symmetry breaking in a model insulating cuprate Sr${}_2$CuO${}_2$Cl${}_2$
• Loop currents in quantum matter
• Quantum-critical resistivity of strange metals in a magnetic field

Cited by in corpus (2)

• Probing orbital magnetism of a kagome metal CsV3Sb5 by a tuning fork resonator
• Quantum dephasing of kagome superconductivity