Electric polarization as a nonquantized topological response and boundary Luttinger theorem
نویسندگان
چکیده
We develop a nonperturbative approach to the bulk polarization of crystalline electric insulators in d?1 dimensions. Formally, we define via response background fluxes both charge and lattice translation symmetries. In this approach, is related properties magnetic monopoles under Specifically, 2D, monopole source 2? flux, determined by crystal momentum flux. 3D, projective representation symmetries on Dirac monopoles. Our also leads concrete scheme calculate which principle can be applied even strongly interacting systems. For open boundary conditions, an altered Luttinger theorem (constraining Fermi surface states) modified Lieb-Schultz-Mattis theorems boundary, derive.Received 22 February 2021Accepted 5 March 2021DOI:https://doi.org/10.1103/PhysRevResearch.3.023011Published American Physical Society terms Creative Commons Attribution 4.0 International license. Further distribution work must maintain attribution author(s) published article's title, journal citation, DOI.Published SocietyPhysics Subject Headings (PhySH)Research AreasDefectsElectric polarizationSurface & interfacial phenomenaTechniquesEffective field theoryGauge theory techniquesCondensed Matter, Materials Applied Physics
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ژورنال
عنوان ژورنال: Physical review research
سال: 2021
ISSN: ['2643-1564']
DOI: https://doi.org/10.1103/physrevresearch.3.023011