Non-Fermi liquids as ersatz Fermi liquids: general constraints on compressible metals
A system with charge conservation and lattice translation symmetry has a well-defined filling
ν, which is a real number representing the average charge per unit cell. We show that if ν is …
ν, which is a real number representing the average charge per unit cell. We show that if ν is …
Lieb-schultz-mattis theorem in open quantum systems
The Lieb-Schultz-Mattis (LSM) theorem provides a general constraint on quantum many-
body systems and plays a significant role in the Haldane gap phenomena and topological …
body systems and plays a significant role in the Haldane gap phenomena and topological …
[HTML][HTML] Ground state degeneracy on torus in a family of ZN toric code
Topologically ordered phases in 2+ 1 dimensions are generally characterized by three
mutually related features: fractionalized (anyonic) excitations, topological entanglement …
mutually related features: fractionalized (anyonic) excitations, topological entanglement …
Lieb-Schultz-Mattis anomalies and web of dualities induced by gauging in quantum spin chains
Abstract Lieb-Schultz-Mattis (LSM) theorems impose non-perturbative constraints on the
zero-temperature phase diagrams of quantum lattice Hamiltonians (always assumed to be …
zero-temperature phase diagrams of quantum lattice Hamiltonians (always assumed to be …
Nonzero momentum requires long-range entanglement
We show that a quantum state in a lattice spin (boson) system must be long-range entangled
if it has nonzero lattice momentum, ie, if it is an eigenstate of the translation symmetry with …
if it has nonzero lattice momentum, ie, if it is an eigenstate of the translation symmetry with …
Fermi surface symmetric mass generation
Symmetric mass generation (SMG) is a mechanism to give gapless fermions a mass gap by
nonperturbative interactions without generating any fermion bilinear condensation. The …
nonperturbative interactions without generating any fermion bilinear condensation. The …
Twisted boundary condition and Lieb-Schultz-Mattis ingappability for discrete symmetries
We discuss quantum many-body systems with lattice translation and discrete on-site
symmetries. We point out that, under a boundary condition twisted by a symmetry operation …
symmetries. We point out that, under a boundary condition twisted by a symmetry operation …
Understanding the index theorems with massive fermions
H Fukaya - International Journal of Modern Physics A, 2021 - World Scientific
The index theorems relate the gauge field and metric on a manifold to the solution of the
Dirac equation on it. In the standard approach, the Dirac operator must be massless to make …
Dirac equation on it. In the standard approach, the Dirac operator must be massless to make …
Topological theory of Lieb-Schultz-Mattis theorems in quantum spin systems
DV Else, R Thorngren - Physical Review B, 2020 - APS
The Lieb-Schultz-Mattis (LSM) theorem states that a spin system with translation and spin
rotation symmetry and half-integer spin per unit cell does not admit a gapped symmetric …
rotation symmetry and half-integer spin per unit cell does not admit a gapped symmetric …
Lieb-Schultz-Mattis theorem for 1d quantum magnets with antiunitary translation and inversion symmetries
We study quantum many-body systems in the presence of an exotic antiunitary translation or
inversion symmetry involving time reversal. Based on a symmetry-twisting method and …
inversion symmetry involving time reversal. Based on a symmetry-twisting method and …