Structure of the Hilbert-space of the infinite-dimensional Hubbard model
C. Gros, W. Wenzel
Abstract
An iterative procedure for the explicit construction of the nontrivial subspace of all symmetry-adapted configurations with non-zero weight in the ground-state of the infinite-dimensional Hubbard model is developed on the basis of a symmetrized representation of the transition operators on a sequence of Bethe-Lattices of finite depth. The relation ship between these operators and the well known mapping of the infinite-dimensional Hubbard model onto an effective impurity problem coupled to a (self-consistent) bath on non-interacting electrons is given. As an application we calculate the properties of various Hubbard stars and give estimates for the half-filled Hubbard model with up to 0.1% accuracy.
Create a lesson
Related papers
Metallogenic quantum criticality: Fermi surface nucleation at transitions between gapped phases
Zhengyan Darius Shi
Exact Stiffness and Dynamical Responses from Fock-Space Fragmentation
Jonah Herzog-Arbeitman, Eslam Khalaf, Zhaoyu Han
A continuous confinement-deconfinement transition in a triangular quantum magnet
Suguru Hosoi, Sejun Park, Michihiro Hirata et al.
Multi-orbital physics in inverse Lieb lattice altermagnets
Mercè Roig, Jannik Gondolf, Andreas Kreisel et al.
3D- (H-theta-phi) magnetic phase diagram of antiferromagnetic metal GdB6 with electron and lattice instability
A. N. Azarevich, A. V. Bogach, T. F. Garipova et al.
Interlayer-engineering of Charge Order Wave Vector in Kagome Metals
Muntafa M. Mahi, Quazi D. M. Khosru, M. Zahid Hasan et al.