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.
arXiv commentMain Text: 5 pages, 3 figures. Published in Phys. Rev. Lett
References in corpus (58)
- The density-matrix renormalization group in the age of matrix product states
- Correlated Electrons in High Temperature Superconductors
- Networks beyond pairwise interactions: structure and dynamics
- Multiply periodic states and isolated skyrmions in an anisotropic frustrated magnet
- Schrieffer-Wolff transformation for quantum many-body systems
- Tensor networks for complex quantum systems
- Dimerization and Incommensurate Spiral Spin Correlations in the Zigzag Spin Chain: Analogies to the Kondo Lattice
- Nonthermal pathways to ultrafast control in quantum materials
- The Hubbard Model
- Efficient numerical simulations with Tensor Networks: Tensor Network Python (TeNPy)
- Commensurability, excitation gap and topology in quantum many-particle systems on a periodic lattice
- Macroscopic magnetization jumps due to independent magnons in frustrated quantum spin lattices
- Experimental identification of quantum spin liquids
- Band topology, Hubbard model, Heisenberg model, and Dzyaloshinskii-Moriya interaction in twisted bilayer WSe
- Quantum states and intertwining phases in kagome materials
- Revision of model parameters for kappa-type charge transfer salts: an ab initio study
- Tensor network study of the Shastry-Sutherland model in zero magnetic field
- Non-perturbative approach to Luttinger's theorem in one dimension
- Effective spin model for the spin-liquid phase of the Hubbard model on the triangular lattice
- Multi-step approach to microscopic models for frustrated quantum magnets - the case of the natural mineral azurite
- Ground states with cluster structures in a frustrated Heisenberg chain
- Frustration- and doping-induced magnetism in a Fermi-Hubbard simulator
- Heating-Induced Long-Range -Pairing in the Hubbard Model
- Photo-molecular high temperature superconductivity
- 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
- Decay of Superconducting and Magnetic Correlations in One- and Two-Dimensional Hubbard Models
- Ferromagnetism in single-band Hubbard models with a partially flat band
- 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
- Stability of Ferromagnetism in Hubbard models with degenerate single-particle ground states
- Uniform Density Theorem for the Hubbard Model
- Localized-magnon states in strongly frustrated quantum spin lattices
- A phase diagram for light-induced superconductivity in -(ET)-X
- Altermagnetism on the Shastry-Sutherland lattice
- Transformer Wave Function for two dimensional frustrated magnets: emergence of a Spin-Liquid Phase in the Shastry-Sutherland Model
- Local Plaquette Physics as Key Ingredient of High-Temperature Superconductivity in Cuprates
- Tomonaga-Luttinger spin liquid in the spin-1/2 inequilateral diamond-chain compound KCuAlO(SO)
- The sawtooth chain: From Heisenberg spins to Hubbard electrons
- Magnetic and spin-liquid phases in the frustrated Hubbard model on the triangular lattice
- Analytical Solution for the Steady States of the Driven Hubbard model
- Frustrated magnetism of spin-1/2 Heisenberg diamond and octahedral chains as a statistical-mechanical monomer-dimer problem
- Modeling the spin-Peierls transition of spin- chains with correlated states: model, CuGeO and TTF-CuSC(CF)
- Electric control of spin states in frustrated triangular molecular magnets
- Phases of the spin-1/2 Heisenberg antiferromagnet on the diamond-decorated square lattice in a magnetic field
- 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
- First-principles study of magnetism and electric field effects in 2D systems
- 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
- All product eigenstates in Heisenberg models from a graphical construction
- Thermodynamic properties of the macroscopically degenerate tetramer-dimer phase of the spin-1/2 Heisenberg model on the diamond-decorated square lattice
- 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