Tootfinder

Topological Chiral Superconductivity in the Triangular-Lattice Hofstadter-Hubbard Model
Feng Chen, Wen O. Wang, Jia-Xin Zhang, Leon Balents, D. N. Sheng
https://arxiv.org/abs/2509.02757

Topological Chiral Superconductivity in the Triangular-Lattice Hofstadter-Hubbard Model
Moiré materials provide exciting platforms for studying the interplay of strong electronic correlation and large magnetic flux effects. We study the lightly doped Hofstadter-Hubbard model on a triangular lattice through large-scale density matrix renormalization group and determinantal quantum Monte Carlo simulations. We find strong evidence for a robust chiral superconducting (SC) phase with dominant power-law pairing correlations and a quantized spin Chern number. The SC phase emerges at ver…

Robust superconductivity upon doping chiral spin liquid and Chern insulators in a Hubbard-Hofstadter model
Clemens Kuhlenkamp, Stefan Divic, Michael P. Zaletel, Tomohiro Soejima, Ashvin Vishwanath
https://arxiv.org/abs/2509.02675

Robust superconductivity upon doping chiral spin liquid and Chern insulators in a Hubbard-Hofstadter model
Demonstrating superconductivity in purely repulsive Hubbard models is a compelling goal which underscores the counter-intuitive ability of Coulomb interactions to mediate superconductivity. Here, we present numerical evidence for robust superconductivity in a triangular Hubbard-Hofstadter model at $π/2$ flux per plaquette. Employing infinite density matrix renormalization group calculations on infinite cylinders of finite circumference, we observe superconducting ground states for a wide range…

Composite Fermion Theory of Fractional Chern Insulator Stability
Xiaodong Hu, Ying Ran, Di Xiao
https://arxiv.org/abs/2508.03915 https://arxiv.org/pdf/2508…

Composite Fermion Theory of Fractional Chern Insulator Stability
We develop a mean-field theory of the stability of fractional Chern insulators based on the dipole picture of composite fermions (CFs). We construct CFs by binding vortices to Bloch electrons and derive a CF single-particle Hamiltonian that describes a Hofstadter problem in the enlarged CF Hilbert space, with the well-known trace condition emerging naturally in the small-$q$ limit. Applied to twisted MoTe$_2$, the calculated CF phase diagram matches closely with that from exact diagonalization,…

Quantum Hall Effect and Chern Phases in the 1/5-Depleted Square Lattice
Sara Aghtouman, Godfrey Gumbs, Mir Vahid Hosseini
https://arxiv.org/abs/2507.00932 …

Quantum Hall Effect and Chern Phases in the 1/5-Depleted Square Lattice
We investigate the fractional energy spectrum and quantum Hall response of a two-dimensional 1/5-depleted square lattice subjected to a perpendicular magnetic field. Using a tight-binding model that includes both nearest-neighbor (t_1) and next-nearest-neighbor (t_2) hopping, we compute the Hofstadter butterfly and extract quantized Hall conductivities via Chern number calculations. In the absence of diagonal hopping (t_2 =0), the spectrum exhibits exact particle-hole and flux-inversion symmetr…

The Hofstadter Butterfly: Bridging Condensed Matter, Topology, and Number Theory
Indubala Satija
https://arxiv.org/abs/2507.13418 https://

The Hofstadter Butterfly: Bridging Condensed Matter, Topology, and Number Theory
Celebrating its golden jubilee, the Hofstadter butterfly fractal emerges as a remarkable fusion of art and science. This iconic X shaped fractal captivates physicists, mathematicians, and enthusiasts alike by elegantly illustrating the energy spectrum of electrons within a two dimensional crystal lattice influenced by a magnetic field. Enriched with integers of topological origin that serve as quanta of Hall conductivity, this quantum fractal and its variations have become paradigm models for t…

Artificial Gauge Fields and Dimensions in a Polariton Hofstadter Ladder
Simon Widmann, Jonas Bellmann, Johannes D\"ureth, Siddhartha Dam, Christian G. Mayer, Philipp Gagel, Simon Betzold, Monika Emmerling, Subhaskar Mandal, Rimi Banerjee, Timothy C. H. Liew, Ronny Thomale, Sven H\"ofling, Sebastian Klembt
https://arxiv…

Artificial Gauge Fields and Dimensions in a Polariton Hofstadter Ladder
Artificial gauge fields allow uncharged particles to mimic the behavior of charged particles subjected to magnetic fields, providing a powerful platform for exploring topological physics. Neutral particles, like photons, are typically unaffected by real magnetic fields. However, it is possible to introduce artificial gauge fields that control the effective dynamics of these neutral particles. Topological exciton-polariton lasers have attracted considerable interest, in part due to the wide rang…

Exploring light-induced phases of 2D materials in a modulated 1D quasicrystal
Yifei Bai, Anna R. Dardia, Toshihiko Shimasaki, David M. Weld
https://arxiv.org/abs/2506.11984

Exploring light-induced phases of 2D materials in a modulated 1D quasicrystal
Illuminating integer quantum Hall matter with polarized light can drive quantum phase transitions. Technical limitations on laser intensity and material purity make such experiments challenging in the solid state. However, the Harper-Hofstadter mapping which relates a two-dimensional integer quantum Hall system to a 1D quasicrystal enables the same polarization-dependent light-induced phase transitions to be observed using a quantum gas in a driven quasiperiodic optical lattice. We report exper…