Seven exact theorems for the Hubbard model on bipartite lattices d>1 are established from the [SU(2)×SU(2)×U(1)]/Z₂² symmetry.
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A 3D array of coupled Rashba nanowires forms a helical second-order topological superconductor with gapless helical Z_{2q} parafermionic modes localized on hinges.
For 3D Dirac fermions at charge neutrality the diffusion constant is purely quantum geometric in origin because the band velocity contribution cancels exactly, unlike in 2D.
Strain-induced square moire superlattices in graphene exhibit narrow bands and split Van Hove singularities reproduced by a continuum model under twist-strain conditions that minimize elastic energy.
DMFT study of extended Hubbard model on triangular lattice reveals rich charge-order phase diagram with distinct pinball-liquid phases, tunable transition orders, and unexpected metallic region on electron-doped side.
Thermoelectric and non-reciprocal transport effects are predicted as accessible probes for spin- and valley-polarized states in hybrid Ising superconductor and van der Waals material junctions.
A geometric-loop theory predicts giant, tunable nonlinear photon-drag currents in twisted bilayer graphene triggered by finite photon momentum.
Charge transfer between TDBG and CrOCl enhances valley-polarized correlated insulating states at half-filling under high magnetic fields, without magnetic proximity effects.
Nonlinear anomalous Hall response computed from the Berry curvature dipole in strained moiré dice lattices reverses sign across topological phase boundaries, providing a probe for valley-specific topology far from charge neutrality.
Systematic variation of interlayer couplings and hBN potentials in TBG/hBN reveals enriched Chern number phase diagrams with states of C=3,4,5 linked to specific band inversions.
DMRG on honeycomb cylinders and slave-boson mean-field theory find a robust t'-induced d-wave SC phase coexisting with armchair stripes for moderate t', transitioning to uniform nematic SC at large t' for doping 1/8.
Symmetry analysis of ZnPc-MOF shows two-fold degenerate bands along Y lines in AB-stacked bilayers due to 2D irreps, polarization-dependent optical conductivity, and quasicrystalline states closer to the Fermi energy than in graphene.
Mean-field Hubbard calculations on mirror-symmetric magic-angle twisted trilayer graphene predict antiferromagnetic order at neutrality with reduced critical U and non-trivial multiband Berry curvature despite zero Chern numbers.
citing papers explorer
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Exact results for the Hubbard model on bipartite lattices in spatial dimensions $d>1$: Seven theorems from the full [SU(2)$\times$SU(2)$\times$U(1)]/$\mathbb{Z}_2^2$ symmetry
Seven exact theorems for the Hubbard model on bipartite lattices d>1 are established from the [SU(2)×SU(2)×U(1)]/Z₂² symmetry.
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$\mathbb Z_{2q}$ parafermionic hinge states in a three-dimensional array of coupled nanowires
A 3D array of coupled Rashba nanowires forms a helical second-order topological superconductor with gapless helical Z_{2q} parafermionic modes localized on hinges.
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Quantum geometric contribution to the diffusion constant
For 3D Dirac fermions at charge neutrality the diffusion constant is purely quantum geometric in origin because the band velocity contribution cancels exactly, unlike in 2D.
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Twistraintronics in Square Moire Superlattices of Stacked Graphene Layers
Strain-induced square moire superlattices in graphene exhibit narrow bands and split Van Hove singularities reproduced by a continuum model under twist-strain conditions that minimize elastic energy.
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Charge order on a triangular lattice with Mott physics and arbitrary charge density
DMFT study of extended Hubbard model on triangular lattice reveals rich charge-order phase diagram with distinct pinball-liquid phases, tunable transition orders, and unexpected metallic region on electron-doped side.
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Detection of spin- and valley-polarized states in van der Waals materials via thermoelectric and non-reciprocal transport
Thermoelectric and non-reciprocal transport effects are predicted as accessible probes for spin- and valley-polarized states in hybrid Ising superconductor and van der Waals material junctions.
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Giant Nonlinear Photon-Drag Currents in Moir\'e Bilayers
A geometric-loop theory predicts giant, tunable nonlinear photon-drag currents in twisted bilayer graphene triggered by finite photon momentum.
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Correlated Insulating States in Twisted Double Bilayer Graphene Enhanced by Interfacial Effect on CrOCl
Charge transfer between TDBG and CrOCl enhances valley-polarized correlated insulating states at half-filling under high magnetic fields, without magnetic proximity effects.
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Probing topological phase transitions via nonlinear Hall response in strained moir\'e dice lattice
Nonlinear anomalous Hall response computed from the Berry curvature dipole in strained moiré dice lattices reverses sign across topological phase boundaries, providing a probe for valley-specific topology far from charge neutrality.
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Topological phase transitions in twisted bilayer graphene/hBN from interlayer coupling and substrate potentials
Systematic variation of interlayer couplings and hBN potentials in TBG/hBN reveals enriched Chern number phase diagrams with states of C=3,4,5 linked to specific band inversions.
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Superconductivity and competing orders in honeycomb $t$-$J$ model: interplay of lattice geometry and next-nearest-neighbor hopping
DMRG on honeycomb cylinders and slave-boson mean-field theory find a robust t'-induced d-wave SC phase coexisting with armchair stripes for moderate t', transitioning to uniform nematic SC at large t' for doping 1/8.
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Symmetry-directed electronic and optical properties in a two-dimensional square-lattice ZnPc-MOF
Symmetry analysis of ZnPc-MOF shows two-fold degenerate bands along Y lines in AB-stacked bilayers due to 2D irreps, polarization-dependent optical conductivity, and quasicrystalline states closer to the Fermi energy than in graphene.
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Magnetism and hidden quantum geometry in charge neutral twisted trilayer graphene
Mean-field Hubbard calculations on mirror-symmetric magic-angle twisted trilayer graphene predict antiferromagnetic order at neutrality with reduced critical U and non-trivial multiband Berry curvature despite zero Chern numbers.