Abstract
Supersymmetry, a symmetry between fermions and bosons, provides a promising extension of the standard model but is still lacking experimental evidence. Recently, the interest in supersymmetry has arisen in the condensed matter community owing to its potential emergence at the continuous quantum phase transition. In this paper, we demonstrate that 2+1D supersymmetry, relating massive Majorana and Ising fields, might emerge at the first-order quantum phase transition of the Ising magnetization by tuning a single parameter. Although the emergence of the SUSY is only allowed in a finite range of scales due to the existence of relevant masses, the scale range can be large when the masses before scaling are small. We show that the emergence of supersymmetry is accompanied by a topological phase transition for the Majorana field, where its non-zero mass changes the sign but keeps the magnitude. An experimental realization of this scenario is proposed using the surface state of a 3+1D time-reversal invariant topological superconductor with surface magnetic doping.
| Original language | English (US) |
|---|---|
| Article number | 075153 |
| Journal | Physical Review B |
| Volume | 100 |
| Issue number | 7 |
| DOIs | |
| State | Published - Aug 28 2019 |
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All Science Journal Classification (ASJC) codes
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics
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Finite-scale emergence of 2+1 D supersymmetry at first-order quantum phase transition. / Yu, Jiabin; Roiban, Radu; Jian, Shao Kai; Liu, Chao Xing.
In: Physical Review B, Vol. 100, No. 7, 075153, 28.08.2019.Research output: Contribution to journal › Article
TY - JOUR
T1 - Finite-scale emergence of 2+1 D supersymmetry at first-order quantum phase transition
AU - Yu, Jiabin
AU - Roiban, Radu
AU - Jian, Shao Kai
AU - Liu, Chao Xing
PY - 2019/8/28
Y1 - 2019/8/28
N2 - Supersymmetry, a symmetry between fermions and bosons, provides a promising extension of the standard model but is still lacking experimental evidence. Recently, the interest in supersymmetry has arisen in the condensed matter community owing to its potential emergence at the continuous quantum phase transition. In this paper, we demonstrate that 2+1D supersymmetry, relating massive Majorana and Ising fields, might emerge at the first-order quantum phase transition of the Ising magnetization by tuning a single parameter. Although the emergence of the SUSY is only allowed in a finite range of scales due to the existence of relevant masses, the scale range can be large when the masses before scaling are small. We show that the emergence of supersymmetry is accompanied by a topological phase transition for the Majorana field, where its non-zero mass changes the sign but keeps the magnitude. An experimental realization of this scenario is proposed using the surface state of a 3+1D time-reversal invariant topological superconductor with surface magnetic doping.
AB - Supersymmetry, a symmetry between fermions and bosons, provides a promising extension of the standard model but is still lacking experimental evidence. Recently, the interest in supersymmetry has arisen in the condensed matter community owing to its potential emergence at the continuous quantum phase transition. In this paper, we demonstrate that 2+1D supersymmetry, relating massive Majorana and Ising fields, might emerge at the first-order quantum phase transition of the Ising magnetization by tuning a single parameter. Although the emergence of the SUSY is only allowed in a finite range of scales due to the existence of relevant masses, the scale range can be large when the masses before scaling are small. We show that the emergence of supersymmetry is accompanied by a topological phase transition for the Majorana field, where its non-zero mass changes the sign but keeps the magnitude. An experimental realization of this scenario is proposed using the surface state of a 3+1D time-reversal invariant topological superconductor with surface magnetic doping.
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U2 - 10.1103/PhysRevB.100.075153
DO - 10.1103/PhysRevB.100.075153
M3 - Article
AN - SCOPUS:85072540002
VL - 100
JO - Physical Review B-Condensed Matter
JF - Physical Review B-Condensed Matter
SN - 2469-9950
IS - 7
M1 - 075153
ER -