A simple prescription to flatten isolated Bloch bands with a nonzero Chern number is presented and perfect flattening can be attained with further range hoppings that decrease exponentially with distance.Expand

This Letter presents solvable examples of quantum many-body Hamiltonians of systems that are unable to reach their ground states as the environment temperature is lowered to absolute zero. These… Expand

It is shown that for a fixed computation time, the optimal evolution has a bang-bang (square pulse) form, both for closed and open quantum systems with Markovian decoherence, and support the choice of evolution ansatz in the recently proposed Quantum Approximate Optimization Algorithm.Expand

This Letter shows that fractionally charged topological excitations exist on graphenelike structures, where quasiparticles are described by two flavors of Dirac fermions and time-reversal symmetry is respected.Expand

The presence of an electronic inhomogeneity is reported in Bi2Sr2CaCu2O8+x, a consequence of proximity to a Mott insulator resulting in poor screening of the charge potentials associated with the oxygen ions left in the BiO plane after doping, and is indicative of the local nature of the superconducting state.Expand

We propose a device, consisting of a Hall bar with two weak barriers, that can be used to study quantum interference effects in a strongly correlated system. We show how the device provides a way of… Expand

We classify all possible 36 gap-opening instabilities in graphenelike structures in two dimensions, i.e., masses of Dirac Hamiltonian when the spin, valley, and superconducting channels are included.… Expand

We present a class of time-reversal-symmetric fractional topological liquid states in two dimensions that support fractionalized excitations. These are incompressible liquids made of electrons, for… Expand

Local fluctuations and responses are shown to be connected by a generalized local out-of-equilibrium fluctuation-dissipation relation and scaling relationships are uncovered for the slow evolution of heterogeneities at all time scales.Expand