Ferromagnetic transition in a one-dimensional spin-orbit-coupled metal and its mapping to a critical point in smectic liquid crystals
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 ε 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. In conclusion, we show that the smectic transition is second order and is controlled by a new critical point.
- Authors:
-
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Univ. of Colorado, Boulder, CO (United States); Univ. of California, Santa Barbara, CA (United States)
- Publication Date:
- Research Org.:
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1505621
- Alternate Identifier(s):
- OSTI ID: 1392172
- Grant/Contract Number:
- SC0010526
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. B
- Additional Journal Information:
- Journal Volume: 96; Journal Issue: 9; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
Kozii, Vladyslav, Ruhman, Jonathan, Fu, Liang, and Radzihovsky, Leo. Ferromagnetic transition in a one-dimensional spin-orbit-coupled metal and its mapping to a critical point in smectic liquid crystals. United States: N. p., 2017.
Web. doi:10.1103/physrevb.96.094419.
Kozii, Vladyslav, Ruhman, Jonathan, Fu, Liang, & Radzihovsky, Leo. Ferromagnetic transition in a one-dimensional spin-orbit-coupled metal and its mapping to a critical point in smectic liquid crystals. United States. https://doi.org/10.1103/physrevb.96.094419
Kozii, Vladyslav, Ruhman, Jonathan, Fu, Liang, and Radzihovsky, Leo. Mon .
"Ferromagnetic transition in a one-dimensional spin-orbit-coupled metal and its mapping to a critical point in smectic liquid crystals". United States. https://doi.org/10.1103/physrevb.96.094419. https://www.osti.gov/servlets/purl/1505621.
@article{osti_1505621,
title = {Ferromagnetic transition in a one-dimensional spin-orbit-coupled metal and its mapping to a critical point in smectic liquid crystals},
author = {Kozii, Vladyslav and Ruhman, Jonathan and Fu, Liang and Radzihovsky, Leo},
abstractNote = {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 ε 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. In conclusion, we show that the smectic transition is second order and is controlled by a new critical point.},
doi = {10.1103/physrevb.96.094419},
journal = {Physical Review. B},
number = 9,
volume = 96,
place = {United States},
year = {Mon Sep 18 00:00:00 EDT 2017},
month = {Mon Sep 18 00:00:00 EDT 2017}
}
Web of Science
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Works referencing / citing this record:
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