Nieh-Yan anomaly: Torsional Landau levels, central charge, and anomalous thermal Hall effect
نویسندگان
چکیده
منابع مشابه
Fractional quantum Hall effect without Landau levels
The quantum Hall effect (QHE) is the remarkable observation of quantized transport in two dimensional electron gases placed in a transverse magnetic field: the longitudinal resistance vanishes while the Hall resistance is quantized to a rational multiple of h/e2. The theory of the QHE is built largely around the special properties of single-particle free-electron states in a magnetic field—the ...
متن کاملOn Torsion and Nieh-Yan Form
Using the well-known Chern-Weil formula and its generalization, we systematically construct the Chern-Simons forms and their generalization induced by torsion as well as the Nieh-Yan (N-Y) forms. We also give an argument on the vanishing of integration of N-Y form on any compact manifold without boundary. A systematic construction of N-Y forms in D=4n dimension is also given.
متن کاملModel for a quantum Hall effect without Landau levels: Condensed-matter realization of the "parity anomaly"
The quantum Hall effect' (QHE) in two-dimensional (2D) electron systems is usually associated with the presence of a uniform externally generated magnetic field, which splits the spectrum of electron energy levels into Landau levels. In this Letter I show how, in principle, a QHE may also result from breaking of time-reversal symmetry (i.e., magnetic ordering) without any net magnetic fiux thro...
متن کاملThe Topological Structure of Nieh-Yan Form and Chiral Anomaly in Spaces with Torsion
The topological structure of the Nieh-Yan form in 4-dimensional manifold is given by making use of the decomposition of spin connection. The case of the generalized Nieh-Yan form on 2d-dimensional manifold is discussed with an example of 8-dimensional case studied in detail. The chiral anomaly with nonvanishing torsion is studied also. The further contributions from torsional part to chiral ano...
متن کاملFractional quantum Hall effect in the absence of Landau levels
It is well known that the topological phenomena with fractional excitations, the fractional quantum Hall effect, will emerge when electrons move in Landau levels. Here we show the theoretical discovery of the fractional quantum Hall effect in the absence of Landau levels in an interacting fermion model. The non-interacting part of our Hamiltonian is the recently proposed topologically non-trivi...
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: 2020
ISSN: 2469-9950,2469-9969
DOI: 10.1103/physrevb.101.125201