Jackiw-Rebbi-type bound state carrying fractional fermion parity
نویسندگان
چکیده
منابع مشابه
Topological superconductors as nonrelativistic limits of Jackiw-Rossi and Jackiw-Rebbi models
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. We argue that the nonrelativistic Hamiltonian of p x + ip y superconductor in two dimensions can be derived from th...
متن کاملFermion-fermion Bound State Condition for Scalar Exchanges
Since the experimental discovery of the mass of the neutrinos [1] a legitimate question has been posed. Is there a possibility of a bound state between weakly interacting particles such as an electron and a neutrino? If the particles involved where nonrelativistic the answer would be immediate and negative. From numerical studies of the Schrödinger equation [2] the existence of a bound state pr...
متن کاملProbing the topological properties of the Jackiw-Rebbi model with light
The Jackiw-Rebbi model describes a one-dimensional Dirac field coupled to a soliton field and can be equivalently thought of as a model describing a Dirac field with a spatially dependent mass term. Neglecting the dynamics of the soliton field, a kink in the background soliton profile yields a topologically protected zero-energy mode for the field, which in turn leads to charge fractionalisatio...
متن کاملMajorana Zero-modes and Topological Phases of Multi-flavored Jackiw-Rebbi model
Shih-Hao Ho, Feng-Li Lin, 3 and Xiao-Gang Wen Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA Department of Physics, National Taiwan Normal University, Taipei, 116, Taiwan Abstract Motivated by the recent Kitaev’s K-theory analysis of topological insu...
متن کاملA Z2 Classification for 2D Fermion Level Crossing
We demonstrate that the number of fermionic zero modes of the static 2-dimensional Dirac operator in the background of SU(2) static gauge-Higgs field configurations is a topological invariant modulo four. Static configurations which are everywhere odd under parity with even-parity pure gauge behaviour at infinity admit 4n, n ∈ Z, zero modes of the Jackiw-Rebbi (JR) type. Odd-parity configuratio...
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: Journal of Statistical Mechanics: Theory and Experiment
سال: 2015
ISSN: 1742-5468
DOI: 10.1088/1742-5468/2015/02/p02013