Pseudopotential formalism for fractional Chern insulators
نویسندگان
چکیده
منابع مشابه
Floquet fractional Chern insulators.
We show theoretically that periodically driven systems with short range Hubbard interactions offer a feasible platform to experimentally realize fractional Chern insulator states. We exemplify the procedure for both the driven honeycomb and the square lattice, where we derive the effective steady state band structure of the driven system by using the Floquet theory and subsequently study the in...
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N. Y. Yao1†∗, A. V. Gorshkov2†, C. R. Laumann1,3†, A. M. Läuchli, J. Ye, M. D. Lukin Physics Department, Harvard University, Cambridge, MA 02138, U.S.A. Institute for Quantum Information and Matter, California Institute of Technology, Pasadena, CA 91125, U.S.A. ITAMP, Harvard-Smithsonian Center for Astrophysics, Cambridge, MA 02138, U.S.A. Institute for Theoretical Physics, University of Innsbr...
متن کاملRealizing fractional Chern insulators in dipolar spin systems.
Strongly correlated quantum systems can exhibit exotic behavior controlled by topology. We predict that the ν = 1/2 fractional Chern insulator arises naturally in a two-dimensional array of driven, dipolar-interacting spins. As a specific implementation, we analyze how to prepare and detect synthetic gauge potentials for the rotational excitations of ultracold polar molecules trapped in a deep ...
متن کاملSupplemental Material for Realizing Fractional Chern Insulators with Dipolar Spins I. DERIVATION OF THE EFFECTIVE HAMILTONIAN
Here, we derive the effective Hamiltonian, HB = − ∑ ij tija † iaj + 1 2 ∑ i6=j Vijninj (Eqn. 3 of the main text). The geometry is shown in the inset of Fig. 1A. The molecules lie in the X-Y plane and are governed by a Hamiltonian Hm = BJ − dE, where E is the applied electric field, which has spherical coordinates (Θ0,Φ0) in the {X,Y, Z} basis. To simplify the notation, we define |↑〉 = s|1,−1〉 +...
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We explore the nonequilibrium response of Chern insulators. Focusing on the Haldane model, we study the dynamics induced by quantum quenches between topological and nontopological phases. A notable feature is that the Chern number, calculated for an infinite system, is unchanged under the dynamics following such a quench. However, in finite geometries, the initial and final Hamiltonians are dis...
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ژورنال
عنوان ژورنال: Physical Review B
سال: 2013
ISSN: 1098-0121,1550-235X
DOI: 10.1103/physrevb.88.035101