Finite-scale emergence of 2+1 D supersymmetry at first-order quantum phase transition

Jiabin Yu, Radu Roiban, Shao Kai Jian, Chao Xing Liu

Research output: Contribution to journalArticle

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 languageEnglish (US)
Article number075153
JournalPhysical Review B
Volume100
Issue number7
DOIs
StatePublished - Aug 28 2019

Fingerprint

Supersymmetry
supersymmetry
Phase transitions
Bosons
Fermions
Surface states
Superconducting materials
Magnetization
bosons
Tuning
fermions
tuning
Doping (additives)
scaling
magnetization
symmetry

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

@article{4fa0c12cee3e4687a605a51fd67b7fdd,
title = "Finite-scale emergence of 2+1 D supersymmetry at first-order quantum phase transition",
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.",
author = "Jiabin Yu and Radu Roiban and Jian, {Shao Kai} and Liu, {Chao Xing}",
year = "2019",
month = "8",
day = "28",
doi = "10.1103/PhysRevB.100.075153",
language = "English (US)",
volume = "100",
journal = "Physical Review B-Condensed Matter",
issn = "2469-9950",
publisher = "American Physical Society",
number = "7",

}

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 journalArticle

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.

UR - http://www.scopus.com/inward/record.url?scp=85072540002&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85072540002&partnerID=8YFLogxK

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 -