Insulator/Chern-insulator transition in the Haldane model
نویسنده
چکیده
We study the behavior of several physical properties of the Haldane model as the system undergoes its transition from the normal-insulator to the Chern-insulator phase. We find that the density matrix has exponential decay in both insulating phases, while having a power-law decay, more characteristic of a metallic system, precisely at the phase boundary. The total spread of the maximally localized Wannier functions is found to diverge in the Chern-insulator phase. However, its gauge-invariant part, related to the localization length of Resta and Sorella, is finite in both insulating phases and diverges as the phase boundary is approached. We also clarify how the usual algorithms for constructing Wannier functions break down as one crosses into the Chern-insulator region of the phase diagram.
منابع مشابه
Realising Haldane's vision for a Chern insulator in buckled lattices
The Chern insulator displays a quantum Hall effect with no net magnetic field. Proposed by Haldane over 20 years ago, it laid the foundation for the fields of topological order, unconventional quantum Hall effects, and topological insulators. Despite enormous impact over two decades, Haldane's original vision of a staggered magnetic field within a crystal lattice has been prohibitively difficul...
متن کاملخواص ساختاری، الکتریکی و مغناطیسی منگنایتLa1-xCaxMnO3
Manganites are considered as subbranches of condensed matter physics with a great wealth of physical mechanisms. In this investigation we have studied the structural, electrical and magnetic properties of a series of La1-xCaxMnO3 manganite with x=0.1, 0.2, …,0.5. We observed that the crystal structure of this manganite, with small dopping, at room temperature is orthorhombic and by increasi...
متن کاملContinuous Preparation of a Fractional Chern Insulator.
We present evidence of a direct, continuous quantum phase transition between a Bose superfluid and the ν=1/2 fractional Chern insulator in a microscopic lattice model. In the process, we develop a detailed field theoretic description of this transition in terms of the low energy vortex dynamics. The theory explicitly accounts for the structure of lattice symmetries and predicts a Landau forbidd...
متن کاملMeasuring Topological Number of a Chern-Insulator from Quench Dynamics
In this letter we address the issue that whether the topological number of a static Hamiltonian can be measured from a dynamical quench process. We focus on a two-band Chern insulator in twodimension, for instance, the Haldane model, whose quantum state is a pseudo-spin on the Bloch sphere. The dynamical process is described by a mapping from the [kx, ky, t] space to the Bloch sphere, character...
متن کاملHole doping and disorder effects on the one-dimensional Kondo lattice, for ferromagnetic Kondo couplings
We investigate the one-dimensional Kondo lattice model (1D KLM) for ferromagnetic Kondo couplings. The so-called ferromagnetic 2-leg spin ladder and the S=1 antiferromagnet occur as new one-dimensional Kondo insulators. Both exhibit a spin gap. But, in contrast to the strong coupling limit, the Haldane state which characterizes the 2-leg spin ladder Kondo insulator cannot fight against very wea...
متن کامل