Abstract
We explore the structure of the energy spectra of quasi-one dimensional (Q1D) system subjected to spin-density-wave SDW states. The structure of the energy spectra opens energy gaps with Zeeman field. Theses gaps result in plateaus for the Quantum Hall conductivity which is associated with edge states. Different from the SSH Hofstadter model, here we show that there are a doublet of edge states contribution to zero Hall conductivity. These edge states are allowed for magnetic control of spin currents. The topological effects predicted here could be tested directly in organic conductors system.
Highlights
Electronic properties under a uniform magnetic field have attracted wide attention over the past decades.[1,2,3,4,5,6,7,8,9,10] One of them is the quantum Hall effect (QHE)
The integer QHE is classified into the first topological state of matter according to topological invariants of the bulk bands known as the Chern numbers and a property known as the bulk boundary correspondence: the bulk is gapped when a two-dimensional election system subjected to a uniform perpendicular magnetic field, but there are edge states that carry quantized charge currents at the edges
To the general trend in consideration the lattice topology under a perpendicular magnetic field, here we explore the structure of the energy spectra of Q1D system subjected to the SDW order, which may be caused by electron-electron interaction or electronic/magnetic field
Summary
Electronic properties under a uniform magnetic field have attracted wide attention over the past decades.[1,2,3,4,5,6,7,8,9,10] One of them is the quantum Hall effect (QHE). We study the interplay between SDW order and Zeeman field to investigate the topological states in this system. When we change Zeeman field and the system filling, the system will go into different topological phases. This is different from the situation of SSH Hofstadter model where the potential in the Hamiltonian is spin independent.[20,21,22] Later we will see the spin dependent edge states have strongly repulsive effect in gaps, so we can not see edge states in this case.
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