Fermionic Lieb-Schultz-Mattis theorems and weak symmetry-protected phases
نویسندگان
چکیده
منابع مشابه
Lieb-Schultz-Mattis theorem for quasitopological systems
Michael Freedman,1 Chetan Nayak,1,2 and Kirill Shtengel3,4,* 1Microsoft Research, Station Q, CNSI Building, University of California, Santa Barbara, California 93106, USA 2Department of Physics, University of California, Santa Barbara, California 93106, USA 3Department of Physics and Astronomy, University of California, Riverside, California 92521, USA 4California Institute of Technology, Pasad...
متن کاملA Multi–Dimensional Lieb–Schultz–Mattis Theorem
For a large class of finite-range quantum spin models with half-integer spins, we prove that uniqueness of the ground state implies the existence of a low-lying excited state. For systems of linear size L, of arbitrary finite dimension, we obtain an upper bound on the excitation energy (i.e., the gap above the ground state) of the form (C logL)/L. This result can be regarded as a multi-dimensio...
متن کاملLieb-Schultz-Mattis in Higher Dimensions
A generalization of the Lieb-Schultz-Mattis theorem to higher dimensional spin systems is shown. The physical motivation for the result is that such spin systems typically either have long-range order, in which case there are gapless modes, or have only short-range correlations, in which case there are topological excitations. The result uses a set of loop operators, analogous to those used in ...
متن کاملFermionic Symmetry Protected Topological Phases and Cobordisms
It has been proposed recently that interacting Symmetry Protected Topological Phases can be classified using cobordism theory. We test this proposal in the case of Fermionic SPT phases with Z2 symmetry, where Z2 is either time-reversal or an internal symmetry. We find that cobordism classification correctly describes all known Fermionic SPT phases in space dimensionD ≤ 3 and also predicts that ...
متن کاملInteracting one-dimensional fermionic symmetry-protected topological phases.
In free fermion systems with given symmetry and dimension, the possible topological phases are labeled by elements of only three types of Abelian groups, 0, Z2, or Z. For example, noninteracting one-dimensional fermionic superconducting phases with S(z) spin rotation and time-reversal symmetries are classified by Z. We show that with weak interactions, this classification reduces to Z4. Using g...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review B
سال: 2019
ISSN: 2469-9950,2469-9969
DOI: 10.1103/physrevb.99.075143