Ferromagnetic transition in a one-dimensional spin-orbit-coupled metal and its mapping to a critical point in smectic liquid crystals
Name
PhysRevB.96.094419.pdf
Size
902.99 KB
Format
Adobe PDF
Checksum (MD5)
1b71efd9678b9485201f26160e141d0e
Author(s)
Radzihovsky, Leo
Kozii, Vladyslav
Ruhman, Yehonatan
Fu, Liang
Date Issued
September 2017
Journal
Physical Review B
Publisher
American Physical Society
Citation
Kozii, Vladyslav et al. "Ferromagnetic transition in a one-dimensional spin-orbit-coupled metal and its mapping to a critical point in smectic liquid crystals." Physical Review B 96, 9 (September 2017): 094419 © 2017 American Physical Society
Version
Final published version
Abstract
We study the quantum phase transition between a paramagnetic and ferromagnetic metal in the presence of Rashba spin-orbit coupling in one dimension. Using bosonization, we analyze the transition by means of renormalization group, controlled by an ɛ expansion around the upper critical dimension of two. We show that the presence of Rashba spin-orbit coupling allows for a new nonlinear term in the bosonized action, which generically leads to a fluctuation driven first-order transition. We further demonstrate that the Euclidean action of this system maps onto a classical smectic-A–C phase transition in a magnetic field in two dimensions. We show that the smectic transition is second order and is controlled by a new critical point.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevB.96.094419
