Numerical observation of emergent spacetime supersymmetry at quantum criticality.
basic_science · Level V
Where this comes from
- Record sourced from PubMed, PMID 30410984.
- Also identified by DOI 10.1126/sciadv.aau1463 and PMC identifier 6218191.
- Licence recorded as CC BY-NC.
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Abstract
No definitive evidence of spacetime supersymmetry (SUSY) that transmutes fermions into bosons and vice versa has been revealed in nature so far. Moreover, the question of whether spacetime SUSY in 2 + 1 and higher dimensions can emerge in generic lattice microscopic models remains open. Here, we introduce a lattice realization of a single Dirac fermion in 2 + 1 dimensions with attractive interactions that preserves both time-reversal and chiral symmetries. By performing sign problem-free determinant quantum Monte Carlo simulations, we show that an interacting single Dirac fermion in 2 + 1 dimensions features a superconducting quantum critical point (QCP). We demonstrate that the <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow><mrow><mi>N</mi> <mo>=</mo> <mn>2</mn></mrow> </mrow> </math> spacetime SUSY in 2 + 1 dimensions emerges at the superconducting QCP by showing that the fermions and bosons have identical anomalous dimensions 1/3, a hallmark of the emergent SUSY. We further show some experimental signatures that may be measured to test such emergent SUSY in candidate systems.