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Title: 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:
 [1];  [1];  [1];  [2]
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
  2. 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) (SC-22)
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. doi: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. doi: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 = {2017},
month = {9}
}

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Cited by: 3 works
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