Matrix product states and projected entangled pair states: Concepts, symmetries, theorems
The theory of entanglement provides a fundamentally new language for describing
interactions and correlations in many-body systems. Its vocabulary consists of qubits and …
interactions and correlations in many-body systems. Its vocabulary consists of qubits and …
Superconductivity and strong correlations in moiré flat bands
Strongly correlated systems can give rise to spectacular phenomenology, from high-
temperature superconductivity to the emergence of states of matter characterized by long …
temperature superconductivity to the emergence of states of matter characterized by long …
Majorana zero modes and topological quantum computation
We provide a current perspective on the rapidly develo** field of Majorana zero modes
(MZMs) in solid-state systems. We emphasise the theoretical prediction, experimental …
(MZMs) in solid-state systems. We emphasise the theoretical prediction, experimental …
Efficient simulation of moiré materials using the density matrix renormalization group
We present an infinite density-matrix renormalization group (DMRG) study of an interacting
continuum model of twisted bilayer graphene (tBLG) near the magic angle. Because of the …
continuum model of twisted bilayer graphene (tBLG) near the magic angle. Because of the …
Observation of fractional Chern insulators in a van der Waals heterostructure
Topologically ordered phases are characterized by long-range quantum entanglement and
fractional statistics rather than by symmetry breaking. First observed in a fractionally filled …
fractional statistics rather than by symmetry breaking. First observed in a fractionally filled …
Tunable interacting composite fermion phases in a half-filled bilayer-graphene Landau level
Non-Abelian anyons are a type of quasiparticle with the potential to encode quantum
information in topological qubits protected from decoherence. Experimental systems that are …
information in topological qubits protected from decoherence. Experimental systems that are …
Fractional charge and fractional statistics in the quantum Hall effects
DE Feldman, BI Halperin - Reports on Progress in Physics, 2021 - iopscience.iop.org
Quasiparticles with fractional charge and fractional statistics are key features of the fractional
quantum Hall effect. We discuss in detail the definitions of fractional charge and statistics …
quantum Hall effect. We discuss in detail the definitions of fractional charge and statistics …
Four-spin terms and the origin of the chiral spin liquid in Mott insulators on the triangular lattice
At strong repulsion, the triangular-lattice Hubbard model is described by s= 1/2 spins with
nearest-neighbor antiferromagnetic Heisenberg interactions and exhibits conventional 120° …
nearest-neighbor antiferromagnetic Heisenberg interactions and exhibits conventional 120° …
Particle-vortex duality of two-dimensional Dirac fermion from electric-magnetic duality of three-dimensional topological insulators
Particle-vortex duality is a powerful theoretical tool that has been used to study bosonic
systems. Here, we propose an analogous duality for Dirac fermions in 2+ 1 dimensions. The …
systems. Here, we propose an analogous duality for Dirac fermions in 2+ 1 dimensions. The …
Valley isospin controlled fractional quantum Hall states in bilayer graphene
A two-dimensional electron system placed in a magnetic field develops Landau levels,
where strong Coulomb interactions lead to the appearance of many-body correlated ground …
where strong Coulomb interactions lead to the appearance of many-body correlated ground …