Interaction-range effects for fermions in one dimension
نویسندگان
چکیده
منابع مشابه
Topological phases of fermions in one dimension
In this paper we show how the classification of topological phases in insulators and superconductors is changed by interactions, in the case of one-dimensional systems. We focus on the time-reversal-invariant Majorana chain (BDI symmetry class). While the band classification yields an integer topological index k, it is known that phases characterized by values of k in the same equivalence class...
متن کاملThe Casimir Effect for Fermions in One Dimension
We study the Casimir problem for a fermion coupled to a static background field in one space dimension. We examine the relationship between interactions and boundary conditions for the Dirac field. In the limit that the background becomes concentrated at a point (a “Dirac spike”) and couples strongly, it implements a confining boundary condition. We compute the Casimir energy for a masslike bac...
متن کاملOptimal Color Range Reporting in One Dimension
Color (or categorical) range reporting is a variant of the orthogonal range reporting problem in which every point in the input is assigned a color. While the answer to an orthogonal point reporting query contains all points in the query range Q, the answer to a color reporting query contains only distinct colors of points in Q. In this paper we describe an O(N)-space data structure that answer...
متن کاملVariable-range hopping and quantum creep in one dimension.
We study the quantum nonlinear response to an applied electric field E of a one-dimensional pinned charge-density wave or Luttinger liquid in the presence of disorder. From an explicit construction of low-lying metastable states and of bounce instanton solutions between them, we demonstrate quantum creep v=e(-c/E(1/2)) as well as a sharp crossover at E=E(*) towards a linear response form consis...
متن کاملCasimir Effect for Massless Fermions in One Dimension: A Force-Operator Approach
We calculate the Casimir interaction between two short-range scatterers embedded in a background of onedimensional massless Dirac fermions using a force-operator approach. We obtain the force between two finitewidth square barriers and take the limit of zero width and infinite potential strength to study the Casimir force mediated by the fermions. For the case of identical scatterers, we recove...
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: 2012
ISSN: 1098-0121,1550-235X
DOI: 10.1103/physrevb.85.195115