Energy Spectrum and the Critical Wavefunctions of the Quasiperiodic Harper Equation –the Silver Mean Case–

1994 ◽  
Vol 63 (6) ◽  
pp. 2261-2268 ◽  
Author(s):  
Kazuhiro Ikezawa ◽  
Mahito Kohmoto
1998 ◽  
Vol 12 (18) ◽  
pp. 1847-1870 ◽  
Author(s):  
C. Micu ◽  
E. Papp

Proofs are given for the first time that the energy-spectrum of the Harper-equation can be derived in a closed implicit form by using the one-dimensional limit of the 1/N-description. Explicitly solvable cases are discussed in some more detail for Δ=1. Here Δ expresses the Harper-parameter discriminating between metallic (Δ<1) and insulator (Δ>1) phases. Related magnetizations have been established by applying both Dingle- and quantum-gas approaches, now for a fixed value of the Fermi-level. The first description leads to large paramagnetic-like magnetizations oscillating with nearly field-independent amplitudes increasing with the temperature. In the second case one deals with magnetization-oscillations centered around the zero-value, such that the amplitudes decrease both with the field and the temperature.


1976 ◽  
Vol 120 (11) ◽  
pp. 337 ◽  
Author(s):  
B.L. Gel'mont ◽  
V.I. Ivanov-Omskii ◽  
I.M. Tsidil'kovskii

2019 ◽  
Author(s):  
Lei R. Cao ◽  
Lei Pan ◽  
Yuanxiang Feng ◽  
Praneeth Kandlakunta ◽  
Jinsong Huang
Keyword(s):  

2019 ◽  
Vol 11 (3) ◽  
pp. 03028-1-03028-7 ◽  
Author(s):  
V. V. Marasanov ◽  
◽  
A. V. Sharko ◽  
A. A. Sharko ◽  
◽  
...  

2016 ◽  
Vol 8 (1) ◽  
pp. 01019-1-01019-3
Author(s):  
D. V. Zav’yalov ◽  
◽  
S. V. Kruchkov ◽  
E. S. Ionkina ◽  
◽  
...  

Author(s):  
M. M. Glazov

In this chapter, some prospects in the field of electron and nuclear spin dynamics are outlined. Particular emphasis is put ona situation where the hyperfine interaction is so strong that it leads to a qualitative rearrangement of the energy spectrum resulting in the coherent excitation transfer between the electron and nucleus. The strong coupling between the spin of the charge carrier and of the nucleus is realized, for example in the case of deep impurity centers in semiconductors or in isotopically purified systems. We also discuss the effect of the nuclear spin polaron, that is ordered state, formation at low enough temperatures of nuclear spins, where the orientation of the carrier spin results in alignment of the spins of nucleus interacting with the electron or hole.


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