Jing-Nan Wu, Zhi-Hao Xu, Zhan-Peng Lu, Yun-Bo Zhang. Topological quantum phase transitions in one-dimensional p-wave superconductors with modulated chemical potentials [J]. Acta Physica Sinica, 2020, 69(7): 070302-1
- Acta Physica Sinica
- Vol. 69, Issue 7, 070302-1 (2020)
Fig. 1. Hofstadter butterfly: the energy spectrum varying with
. The red dotted point denotes the Majorana Fermion.
and
. The red dotted point denotes the Majorana Fermion.
and
Fig. 2. Topological phase diagram in
plane with
. (a)
; (b)
; (c)
, L = 2584
plane with
. (a)
; (b)
; (c)
, 
Fig. 3. Energy varying with phase shift
with
,
and
under open boundary condition.
with
,
and
under open boundary condition. Fig. 4. (a) The lowest excitation energies,
, varying with the quasi-periodic modulation amplitude, V, under OBC and PBC, respectively. The spatial distribution of the lowest excited state
(b),
(c).
,
,
,
.
, varying with the quasi-periodic modulation amplitude, V, under OBC and PBC, respectively. The spatial distribution of the lowest excited state
(b),
(c).
,
,
,
. Fig. 5. (a)
topological invariant varying with the strength of the potential V ; (b) the scaling of
; (c) the scaling of
. Here,
,
,
,
.
topological invariant varying with the strength of the potential ; (c) the scaling of
. Here,
,
,
,
. Fig. 6. 
varying with the amplitude of quasi-periodic modulation V and energy
.
,
,
: (a)
; (b)
; (c)
; (d)
varying with the amplitude of quasi-periodic modulation .
,
,
: (a)
; (b)
; (c)
; (d)
Set citation alerts for the article
Please enter your email address
© Copyright 2018-2021 | Chinese Laser Press. All Rights Reserved 沪ICP备15018463号-20