Non-uniform Berry curvature in parent Chern bands induces momentum-space vortices in the chiral superconducting gap function, with the parent Chern number constraining vortex count independently of model details.
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Phase diagrams of trivial phases in class A non-interacting fermions exhibit topological textures from non-trivial state families, computed via higher Berry phases, with diabolical points hosting robust boundary modes.
Exact diagonalization provides evidence that the antiferromagnetic Chern insulator phase with quantized Chern number C=1 exists in the Kane-Mele-Hubbard model, shown by gap closing, anisotropic spin correlations, fidelity susceptibility, and a modified Chern number calculation that accounts for TRS-
Fermi seas with the same Euler characteristic χ_F possess distinct fine-grained topological structures captured by a new structural resolution factor, which topological superconductors inherit to produce anomalous gapless boundary states.
Non-Hermitian knot topology exhibits first-order transitions that mirror Hermitian topological phase transitions when singular values are matched to Hermitian eigenvalues, without exceptional points.
A dimerized ULH texture in liquid crystal microcavities realizes two voltage-tunable coupled SSH chains with orthogonal polarizations as pseudospin.
Long-range interactions in the spin-one Heisenberg chain with anisotropy stabilize continuous symmetry breaking phases with logarithmic corrections to entanglement entropy and continuously varying critical exponents.
In a dimerized staggered Hubbard ring at half filling, the many-body Wilson loop satisfies the exact identity W(-δ) = W(δ)* even in regimes where the Berry phase is unquantized and varies continuously.
Hopf terms govern phases in 2D metals near fluctuating magnetic and spin loop-current orders, realizing an SU(2)-protected topological phase with gapped bulk, chiral edges, and quantized spin-Hall conductance.
Z2-protected Majorana vortex end modes appear in time-reversal invariant higher-order topological insulators and in topologically trivial insulators with all surfaces gapped when chemical potential lies between the two single-TI critical values.
Cavity-mediated interactions in an effective SSH Hamiltonian produce consistent topological phase diagrams across three markers, confirming edge states via correlations.
A class-C N-channel quantum network model with random tunneling is mapped to a nonlinear sigma model in the large-N limit, with triplet modes typically massive except under specific conditions, and Zeeman field breaking additional symmetries.
A review summarizing theoretical and experimental progress on disorder-induced topological phases including TAIs, quasiperiodic extensions, non-Hermitian systems, and many-body realizations.
citing papers explorer
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Chiral superconductors from parent states with non-uniform Berry curvature: Momentum-space vortices, BdG topology, and thermal Hall conductivity
Non-uniform Berry curvature in parent Chern bands induces momentum-space vortices in the chiral superconducting gap function, with the parent Chern number constraining vortex count independently of model details.
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Textured phase diagrams of featureless insulators
Phase diagrams of trivial phases in class A non-interacting fermions exhibit topological textures from non-trivial state families, computed via higher Berry phases, with diabolical points hosting robust boundary modes.
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The antiferromagnetic Chern insulator phase in the Kane-Mele-Hubbard model
Exact diagonalization provides evidence that the antiferromagnetic Chern insulator phase with quantized Chern number C=1 exists in the Kane-Mele-Hubbard model, shown by gap closing, anisotropic spin correlations, fidelity susceptibility, and a modified Chern number calculation that accounts for TRS-
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Fine-grained topological structures hidden in Fermi sea
Fermi seas with the same Euler characteristic χ_F possess distinct fine-grained topological structures captured by a new structural resolution factor, which topological superconductors inherit to produce anomalous gapless boundary states.
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Emergence of Hermitian topology from non-Hermitian knots
Non-Hermitian knot topology exhibits first-order transitions that mirror Hermitian topological phase transitions when singular values are matched to Hermitian eigenvalues, without exceptional points.
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Engineering Tunable Synthetic Su-Schrieffer-Heeger Chains in Liquid Crystal Microcavities
A dimerized ULH texture in liquid crystal microcavities realizes two voltage-tunable coupled SSH chains with orthogonal polarizations as pseudospin.
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Unconventional entanglement scaling and quantum criticality in the long-range spin-one Heisenberg chain with single-ion anisotropy
Long-range interactions in the spin-one Heisenberg chain with anisotropy stabilize continuous symmetry breaking phases with logarithmic corrections to entanglement entropy and continuously varying critical exponents.
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An Exact Conjugation Identity for the Many-Body Wilson-Loop Beyond Quantization
In a dimerized staggered Hubbard ring at half filling, the many-body Wilson loop satisfies the exact identity W(-δ) = W(δ)* even in regimes where the Berry phase is unquantized and varies continuously.
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Hopf symmetry protected topological phases in the vicinity of spin orders
Hopf terms govern phases in 2D metals near fluctuating magnetic and spin loop-current orders, realizing an SU(2)-protected topological phase with gapped bulk, chiral edges, and quantized spin-Hall conductance.
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Majorana vortex phases in time-reversal invariant higher-order topological insulators and topologically trivial insulators
Z2-protected Majorana vortex end modes appear in time-reversal invariant higher-order topological insulators and in topologically trivial insulators with all surfaces gapped when chemical potential lies between the two single-TI critical values.
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Topological markers for a one-dimensional fermionic chain coupled to a single-mode cavity
Cavity-mediated interactions in an effective SSH Hamiltonian produce consistent topological phase diagrams across three markers, confirming edge states via correlations.
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The class C quantum network model with random tunneling and its nonlinear sigma model representation
A class-C N-channel quantum network model with random tunneling is mapped to a nonlinear sigma model in the large-N limit, with triplet modes typically massive except under specific conditions, and Zeeman field breaking additional symmetries.
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Recent progress on disorder-induced topological phases
A review summarizing theoretical and experimental progress on disorder-induced topological phases including TAIs, quasiperiodic extensions, non-Hermitian systems, and many-body realizations.