18 citations · 35 across the 8 of their papers we have counts for
9 papers
A hierarchy of exact lower bounds on the Laughlin spectral gap
Michael G. Scheer, Eslam Khalaf
We develop a bootstrap approach to deriving lower bounds on the spectral gap of the first Haldane pseudopotential Hamiltonian on the sphere with flux quanta for arbitrary $N_…
Bootstrapping Classical Systems with Quenched Disorder
Minjae Cho, Yaprak Önder, Eslam Khalaf +1
We introduce a bootstrap method for deriving bounds on disorder-averaged observables in classical statistical systems with quenched disorder. The three main ingredients of the boot…
Bootstrapping Disordered Quantum Systems
Yaprak Önder, Michael G. Scheer, Minjae Cho +1
We present a bootstrap framework that yields rigorous two-sided bounds on ground-state observables of quantum systems with quenched disorder. The key idea is to extend the operator…
Bootstrap bounds for Quantum Spin Systems using String Operators
Nisarg Chadha, Michael G. Scheer, Eslam Khalaf
Bootstrap is a numerical many-body method that provides rigorous bounds on ground-state observables by imposing a set of necessary constraints on the expectation values of operator…
Defect Bootstrap: Tight Ground State Bounds in Spontaneous Symmetry Breaking Phases
Michael G. Scheer, Nisarg Chadha, Da-Chuan Lu +1
The recent development of bootstrap methods based on semidefinite relaxations of positivity constraints has enabled rigorous two-sided bounds on local observables directly in the t…
Intervalley-Coupled Twisted Bilayer Graphene from Substrate Commensuration
Bo-Ting Chen, Michael G. Scheer, Biao Lian
We show that intervalley coupling can be induced in twisted bilayer graphene (TBG) by aligning the bottom graphene layer with either of two types of commensurate insulating triangu…
Spectroscopy of the Fractal Hofstadter Energy Spectrum
Kevin P. Nuckolls, Michael G. Scheer, Dillon Wong +7
Hofstadter's butterfly, the predicted energy spectrum for non-interacting electrons confined to a two-dimensional lattice in a magnetic field, is one of the most remarkable fractal…
Correlated topological flat bands in rhombohedral graphite
Hongyun Zhang, Qian Li, Michael G. Scheer +22
Flat bands and nontrivial topological physics are two important topics of condensed matter physics. With a unique stacking configuration analogous to the Su-Schrieffer-Heeger (SSH)…
Bootstrapping Quantum Hamiltonians with Symmetry
Michael G. Scheer
We describe a semidefinite relaxation method which finds lower bounds to the ground state energy of a quantum Hamiltonian subject to Hermitian linear constraints along with approxi…