5 papers
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…
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…
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…
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…
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…