Magnetization of electronic ground states in frustrated superstable graphs
arXiv:2509.07079 · doi:10.1103/wqwf-3cbl
Abstract
Geometric frustration lies at the heart of many unconventional quantum phases in strongly interacting electron systems. Here, we analytically determine the ground state magnetization of the half-filled Hubbard model on frustrated geometries where superstable states -- eigenstates which are robust against frustration -- are manifest. Our results apply to a broad class of lattices, including those where altermagnetic and superconducting states are known to emerge. Furthermore, they provide evidence for phase transitions involving a geometric rearrangement of magnetic correlations in the thermodynamic limit.
Main Text: 5 pages, 3 figures. Published in Phys. Rev. Lett
References in corpus (32)
- The density-matrix renormalization group in the age of matrix product states
- Experimental identification of quantum spin liquids
- Quantum states and intertwining phases in kagome materials
- Effective spin model for the spin-liquid phase of the Hubbard model on the triangular lattice
- Frustration- and doping-induced magnetism in a Fermi-Hubbard simulator
- Heating-Induced Long-Range -Pairing in the Hubbard Model
- Superconductivity in repulsively interacting fermions on a diamond chain: flat-band induced pairing
- Absence of superconductivity in the half-filled band Hubbard model on the anisotropic triangular lattice
- Finite-size scaling at first-order quantum transitions
- Crystal Net Catalog of Model Flat Band Materials
- Dynamical order and superconductivity in a frustrated many-body system
- Transformer Wave Function for two dimensional frustrated magnets: emergence of a Spin-Liquid Phase in the Shastry-Sutherland Model
- Altermagnetism on the Shastry-Sutherland lattice
- Local Plaquette Physics as Key Ingredient of High-Temperature Superconductivity in Cuprates
- The sawtooth chain: From Heisenberg spins to Hubbard electrons
- Magnetic and spin-liquid phases in the frustrated Hubbard model on the triangular lattice
- Frustrated magnetism of spin-1/2 Heisenberg diamond and octahedral chains as a statistical-mechanical monomer-dimer problem
- Analytical Solution for the Steady States of the Driven Hubbard model
- Modeling the spin-Peierls transition of spin- chains with correlated states: model, CuGeO and TTF-CuSC(CF)
- Phases of the spin-1/2 Heisenberg antiferromagnet on the diamond-decorated square lattice in a magnetic field
- Electric control of spin states in frustrated triangular molecular magnets
- Thermal first-order phase transitions, Ising critical points, and reentrance in the Ising-Heisenberg model on the diamond-decorated square lattice in a magnetic field
- Exact Hole-induced Resonating-Valence-Bond Ground State in Certain Hubbard Models
- Superconductivity and Mottness in Organic Charge Transfer Materials
- Quantum dimer model containing Rokhsar-Kivelson point expressed by spin-1/2 Heisenberg antiferromagnets
- Novel Dipole-Lattice coupling in the Quantum-Spin-Liquid Material -(BEDT-TTF)Cu(CN)
- Frustration-Induced Superconductivity in the - Hubbard Model
- Thermodynamic properties of the macroscopically degenerate tetramer-dimer phase of the spin-1/2 Heisenberg model on the diamond-decorated square lattice
- All product eigenstates in Heisenberg models from a graphical construction
- Exact hole-induced flavor-singlets in certain Hubbard models
- Observation of a gapped phase in the one-dimensional Heisenberg antiferromagnetic chain Cu(Ampy)ClBr
- Photoinduced Frustration Modulation in -type Quantum Spin Liquid Candidates