Lieb–Schultz–Mattis Type Theorems for Quantum Spin Chains Without Continuous Symmetry
Sign Up to like & getrecommendations! Published in 2019 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-019-03343-5
Abstract: We prove that a quantum spin chain with half-odd-integral spin cannot have a unique ground state with a gap, provided that the interaction is short ranged, translation invariant, and possesses time-reversal symmetry or $${\mathbb{Z}_{2} \times… read more here.
Keywords: schultz mattis; lieb schultz; quantum spin; mattis type ... See more keywords
Topological theory of Lieb-Schultz-Mattis theorems in quantum spin systems
Sign Up to like & getrecommendations! Published in 2020 at "Physical Review B"
DOI: 10.1103/physrevb.101.224437
Abstract: Exploring the consequences of the arrangement of spins and its space-group symmetry, a systematic theory is given to determine under what circumstances the ground state of a quantum magnet must be a nontrivial quantum spin… read more here.
Keywords: theory; quantum spin; schultz mattis; lieb schultz ... See more keywords
Bootstrapping Lieb-Schultz-Mattis anomalies
Sign Up to like & getrecommendations! Published in 2022 at "Physical Review B"
DOI: 10.1103/physrevb.107.205137
Abstract: We incorporate the microscopic assumptions that lead to a certain generalization of the Lieb-Schultz-Mattis (LSM) theorem for one-dimensional spin chains into the conformal bootstrap. Our approach accounts for the"LSM anomaly"possessed by these spin chains through… read more here.
Keywords: symmetry; lieb schultz; schultz mattis; bootstrap ... See more keywords
Lieb-Schultz-Mattis theorem with long-range interactions
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DOI: 10.1103/physrevb.110.104412
Abstract: We prove the Lieb-Schultz-Mattis theorem in $d$-dimensional spin systems exhibiting $SO(3)$ spin rotation and lattice translation symmetries in the presence of $k-$local interactions decaying as $\sim 1/r^\alpha$ with distance $r$. Two types of Hamiltonians are… read more here.
Keywords: range; mattis theorem; lieb schultz; long range ... See more keywords
Lieb-Schultz-Mattis-type filling constraints in the 1651 magnetic space groups
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DOI: 10.1103/physrevb.97.165117
Abstract: We present the first systematic study of the filling constraints to realize a `trivial' insulator symmetric under magnetic space group $\mathcal{M}$. The filling $\nu$ must be an integer multiple of $m^{\mathcal{M}}$ to avoid spontaneous symmetry… read more here.
Keywords: space; schultz mattis; filling constraints; lieb schultz ... See more keywords
Twisted Boundary Condition and Lieb-Schultz-Mattis Ingappability for Discrete Symmetries.
Sign Up to like & getrecommendations! Published in 2021 at "Physical review letters"
DOI: 10.1103/physrevlett.126.217201
Abstract: 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, there is an exact degeneracy of ground states if the… read more here.
Keywords: boundary condition; lieb schultz; condition; schultz mattis ... See more keywords