Truncated unity functional renormalization group for multiband systems with spin-orbit coupling

Abstract

Although the functional renormalization group (fRG) is by now a well-established method for investigating correlated electron systems, it is still undergoing significant technical and conceptual improvements. In particular, the motivation to optimally exploit the parallelism of modern computing platforms has recently led to the development of the "truncated-unity" functional renormalization group (TU-fRG). Here, we review this fRG variant, and we provide its extension to multiband systems with spin-orbit coupling. Furthermore, we discuss some aspects of the implementation and outline opportunities and challenges ahead for predicting the ground-state ordering and emergent energy scales for a wide class of quantum materials.

arXiv commentconsistent with published version in Frontiers in Physics (2018)

References in corpus (40)

• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Helical liquids and Majorana bound states in quantum wires
• Superconducting 2D system with lifted spin degeneracy: Mixed singlet-triplet state
• Topological response in Weyl semimetals and the chiral anomaly
• Functional renormalization group approach to correlated fermion systems
• Superconductivity and spin-orbit coupling in non-centrosymmetric materials: a review
• A theory of Topological Kondo Insulators
• Functional renormalization group and variational Monte Carlo studies of the electronic instabilities in graphene near 1/4 doping
• Ferroelectricity and Rashba effect in GeTe
• Ferroelectric Rashba Semiconductors as a novel class of multifunctional materials
• Functional Renormalization Group for multi-orbital Fermi Surface Instabilities
• Efficient Parametrization of the Vertex Function, $\Omega$-Scheme, and the (t,t')-Hubbard Model at Van Hove Filling
• Theory of interacting topological crystalline insulators
• High-performance functional renormalization group calculations for interacting fermions
• Pairing with dominant triplet component and possible weak topological superconductivity in BiS${}_2$-based superconductors
• Antiferromagnetism in the Hubbard Model on the Bernal-stacked Honeycomb Bilayer
• Superconductivity in the two-dimensional $t$-$t^{\prime }$-Hubbard model
• Self-energy flows in the two-dimensional repulsive Hubbard model
• Frequency Dependent Vertex Functions of the (t,t')-Hubbard Model at Weak Coupling
• Interacting electrons on trilayer honeycomb lattices
• Non-separable frequency dependence of two-particle vertex in interacting fermion systems
• Giant magneto-optical response in non-magnetic semiconductor BiTeI driven by bulk Rashba spin splitting
• Time reversal invariant topological superconductivity in correlated non-centrosymmetric systems
• Mechanisms of enhanced orbital dia- and paramagnetism: Application to the Rashba semiconductor BiTeI
• Competing electronic instabilities of extended Hubbard models on the honeycomb lattice: A functional Renormalization Group calculation with high wavevector resolution
• Mott multicriticality of Dirac electrons in graphene
• Unconventional pairing and electronic dimerization instabilities in the doped Kitaev-Heisenberg model
• Antiferromagnetism and competing charge instabilities of electrons in strained graphene from Coulomb interactions
• Quantum nanostructures in strongly spin-orbit coupled two-dimensional systems
• Truncated-Unity Parquet Equations: Application to the Repulsive Hubbard Model
• Self-energy effects in functional renormalization group flows of the two-dimensional $t$-$t^{\prime }$ Hubbard model away from van Hove filling
• Ab initio electronic structure and optical conductivity of bismuth tellurohalides
• Parametrization of Nambu vertex in a singlet superconductor
• Multiorbital effects in the functional renormalization group: A weak-coupling study of the Emery model
• Electronic instabilities of the extended Hubbard model on the honeycomb lattice from functional renormalization
• Electronic Instabilities of the AA-Honeycomb Bilayer
• Functional renormalization group for commensurate antiferromagnets: Beyond the mean-field picture
• Functional renormalization group study of an eight-band model for the iron arsenides
• Majorana zero modes in spintronics devices
• Functional renormalization and mean-field approach to multiband systems with spin-orbit coupling: Application to the Rashba model with attractive interaction

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• Sublattice modulated superconductivity in the Kagome Hubbard model
• Functional renormalization group for fermion lattice models in three dimensions: application to the Hubbard model on the cubic lattice
• Competing electronic orders on a heavily doped honeycomb lattice with enhanced exchange coupling
• Interaction-driven first-order and higher-order topological superconductivity
• Quasi-particle functional Renormalisation Group calculations in the two-dimensional half-filled Hubbard model at finite temperatures
• Consistent combination of truncated-unity functional renormalization group and mean-field theory
• Functional renormalization with interaction flows: A single-boson exchange perspective and application to electron-phonon systems
• Spin bond order driven by extended repulsive interactions in doped graphene