Anomalous Hall Effect due to Magnetic Fluctuations in a Ferromagnetic Weyl Semimetal
The anomalous Hall effect (AHE) has emerged as a key indicator of time-reversal symmetry breaking (TRSB) and topological features in electronic band structures. Absent of a magnetic field, the AHE requires spontaneous TRSB but has proven hard to probe due to averaging over domains. The anomalous component of the Hall effect is thus frequently derived from extrapolating the magnetic field dependence of the Hall response. We show that discerning whether the AHE is an intrinsic property of the field-free system becomes intricate in the presence of strong magnetic fluctuations. As a study case, we use the Weyl semimetal PrAlGe, where TRSB can be toggled via a ferromagnetic transition, providing a transparent view of the AHE's topological origin. Through a combination of thermodynamic, transport, and muon spin relaxation measurements, we contrast the behavior below the ferromagnetic transition temperature to that of strong magnetic fluctuations above. Our results on PrAlGe provide general insights into the interpretation of anomalous Hall signals in systems where TRSB is debated, such as families of kagome metals or certain transition metal dichalcogenides.
Authors
- Ekaterina V. Pomjakushina (ORCID: https://orcid.org/0000-0002-2446-3830)
- S. Mukherjee
- Chennan Wang (ORCID: https://orcid.org/0000-0001-7366-2994)
- Victor Ukleev (ORCID: https://orcid.org/0000-0003-3703-264X)
- Qisi Wang (ORCID: https://orcid.org/0000-0002-8741-7559)
- Xiaoxiong Liu (ORCID: https://orcid.org/0000-0002-2187-0035)
- J. Chang (ORCID: https://orcid.org/0000-0002-4655-1516)
- Chun Lin (ORCID: https://orcid.org/0000-0001-8335-2471)
- Céphise Cacho (ORCID: https://orcid.org/0000-0002-0058-5817)
- Soohyeon Shin (ORCID: https://orcid.org/0000-0002-5668-630X)
- Masafumi Horio (ORCID: https://orcid.org/0000-0003-2669-5368)
- Pascal Puphal (ORCID: https://orcid.org/0000-0003-3574-2170)
- Tian Shang (ORCID: https://orcid.org/0000-0002-5916-0020)
- Ola Kenji Forslund (ORCID: https://orcid.org/0000-0001-8879-7875)
- Titus Neupert (ORCID: https://orcid.org/0000-0003-0604-041X)
- T. K. Kim (ORCID: https://orcid.org/0000-0003-4201-4462)
- Yasmine Sassa (ORCID: https://orcid.org/0000-0003-1416-5642)
- Kevin Kramer (ORCID: https://orcid.org/0000-0001-5523-6924)
- J. S. White (ORCID: https://orcid.org/0000-0001-7738-0150)
Institutions
- Uppsala University (SE)
- Chinese University of Hong Kong (HK)
- University of Zurich (CH)
- Helmholtz-Zentrum Berlin für Materialien und Energie (DE)
- Paul Scherrer Institute (CH)
- Diamond Light Source (GB)
- Southern University of Science and Technology (CN)
- Max Planck Institute for Solid State Research (DE)
- East China Normal University (CN)
- KTH Royal Institute of Technology (SE)
Publication Details
- Journal
- Physical Review Letters
- Published
- 2025-03-24
- DOI
- https://doi.org/10.1103/physrevlett.134.126602
- Citations
- 12
- Primary Topic
- Topological Materials and Phenomena
- Type
- article
- Field-Weighted Citation Impact
- 14.96
Funders
- National Science Foundation
- Diamond Light Source
- Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung
- National Natural Science Foundation of China
- Research Grants Council, University Grants Committee
- Knut och Alice Wallenbergs Stiftelse
- Paul Scherrer Institut
- Vetenskapsrådet
- National Key Research and Development Program of China