Ferromagnetic transition in a one-dimensional spin-orbit-coupled metal and its mapping to a critical point in smectic liquid crystals

Kozii, Vladyslav; Ruhman, Jonathan; Fu, Liang; Radzihovsky, Leo

doi:10.1103/physrevb.96.094419

Title: Ferromagnetic transition in a one-dimensional spin-orbit-coupled metal and its mapping to a critical point in smectic liquid crystals

Journal Article · Mon Sep 18 00:00:00 EDT 2017 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.96.094419· OSTI ID:1505621

Kozii, Vladyslav ^[1]; Ruhman, Jonathan ^[1]; Fu, Liang ^[1]; Radzihovsky, Leo ^[2]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Univ. of Colorado, Boulder, CO (United States); Univ. of California, Santa Barbara, CA (United States)

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.

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Research Organization:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0010526

OSTI ID:: 1505621

Alternate ID(s):: OSTI ID: 1392172

Journal Information:: Physical Review. B, Vol. 96, Issue 9; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 7 works

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References (45)

Quantum critical phenomena Hertz, John A. Physical Review B, Vol. 14, Issue 3 https://doi.org/10.1103/PhysRevB.14.1165	journal	August 1976
Bosonization approach to charge and spin dynamics of one-dimensional spin- $\frac{1}{2}$ fermions with band curvature in a clean quantum wire Teber, Sofian Physical Review B, Vol. 76, Issue 4 https://doi.org/10.1103/PhysRevB.76.045309	journal	July 2007
Kardar-Parisi-Zhang model and anomalous elasticity of two- and three-dimensional smectic- A liquid crystals Golubović, Leonardo; Wang, Zhen-Gang Physical Review E, Vol. 49, Issue 4 https://doi.org/10.1103/PhysRevE.49.2567	journal	April 1994
First-Order Phase Transitions in Superconductors and Smectic- $A$ Liquid Crystals Halperin, B. I.; Lubensky, T. C.; Ma, Shang-keng Physical Review Letters, Vol. 32, Issue 6 https://doi.org/10.1103/PhysRevLett.32.292	journal	February 1974
Ferromagnetic and nematic non-Fermi liquids in spin-orbit-coupled two-dimensional Fermi gases Ruhman, Jonathan; Berg, Erez Physical Review B, Vol. 90, Issue 23 https://doi.org/10.1103/PhysRevB.90.235119	journal	December 2014
Anharmonic elasticity of smectics A and the Kardar-Parisi-Zhang model Golubović, Leonardo; Wang, Zhen-Gang Physical Review Letters, Vol. 69, Issue 17 https://doi.org/10.1103/PhysRevLett.69.2535	journal	October 1992
Crossover near fluctuation-induced first-order phase transitions in superconductors Chen, Jing-Huei; Lubensky, T. C.; Nelson, David R. Physical Review B, Vol. 17, Issue 11 https://doi.org/10.1103/PhysRevB.17.4274	journal	June 1978
Controlled expansion for certain non-Fermi-liquid metals Mross, David F.; McGreevy, John; Liu, Hong Physical Review B, Vol. 82, Issue 4 https://doi.org/10.1103/PhysRevB.82.045121	journal	July 2010
Equations of state and renormalization-group recursion relations Rudnick, Joseph; Nelson, David R. Physical Review B, Vol. 13, Issue 5 https://doi.org/10.1103/PhysRevB.13.2208	journal	March 1976
Anharmonic Effects in Bulk Smectic Liquid Crystals and Other "One-Dimensional Solids" Grinstein, G.; Pelcovits, Robert A. Physical Review Letters, Vol. 47, Issue 12 https://doi.org/10.1103/PhysRevLett.47.856	journal	September 1981
Fluctuation-driven 1st-order isotropic-to-tetrahedratic phase transition Radzihovsky, L.; Lubensky, T. C. Europhysics Letters (EPL), Vol. 54, Issue 2 https://doi.org/10.1209/epl/i2001-00296-0	journal	April 2001
Metallic quantum ferromagnets Brando, M.; Belitz, D.; Grosche, F. M. Reviews of Modern Physics, Vol. 88, Issue 2 https://doi.org/10.1103/RevModPhys.88.025006	journal	May 2016
Ferromagnetic Transition in One-Dimensional Itinerant Electron Systems Yang, Kun Physical Review Letters, Vol. 93, Issue 6 https://doi.org/10.1103/PhysRevLett.93.066401	journal	August 2004
Backward Scattering in the One-Dimensional Electron Gas Luther, A.; Emery, V. J. Physical Review Letters, Vol. 33, Issue 10 https://doi.org/10.1103/PhysRevLett.33.589	journal	September 1974
Epitaxy of semiconductor–superconductor nanowires Krogstrup, P.; Ziino, N. L. B.; Chang, W. Nature Materials, Vol. 14, Issue 4 https://doi.org/10.1038/nmat4176	journal	January 2015
Signatures of Majorana Fermions in Hybrid Superconductor-Semiconductor Nanowire Devices Mourik, V.; Zuo, K.; Frolov, S. M. Science, Vol. 336, Issue 6084 https://doi.org/10.1126/science.1222360	journal	April 2012
Principles of Condensed Matter Physics Chaikin, P. M.; Lubensky, T. C. https://doi.org/10.1017/CBO9780511813467	book	January 1995
Nature of the quantum phase transition in clean itinerant Heisenberg ferromagnets Kirkpatrick, T. R.; Belitz, D. Physical Review B, Vol. 67, Issue 2 https://doi.org/10.1103/PhysRevB.67.024419	journal	January 2003
Quantum phase transitions of metals in two spatial dimensions. II. Spin density wave order Metlitski, Max A.; Sachdev, Subir Physical Review B, Vol. 82, Issue 7 https://doi.org/10.1103/PhysRevB.82.075128	journal	August 2010
Fluctuations and phase transitions in Larkin-Ovchinnikov liquid-crystal states of a population-imbalanced resonant Fermi gas Radzihovsky, Leo Physical Review A, Vol. 84, Issue 2 https://doi.org/10.1103/PhysRevA.84.023611	journal	August 2011
The renormalization group in the theory of critical behavior Fisher, Michael E. Reviews of Modern Physics, Vol. 46, Issue 4 https://doi.org/10.1103/RevModPhys.46.597	journal	October 1974
Huse, Henley, and Fisher respond Huse, David A.; Henley, Christopher L.; Fisher, Daniel S. Physical Review Letters, Vol. 55, Issue 26 https://doi.org/10.1103/PhysRevLett.55.2924	journal	December 1985
Non-Fermi-liquid fixed point in a Wilsonian theory of quantum critical metals Fitzpatrick, A. Liam; Kachru, Shamit; Kaplan, Jared Physical Review B, Vol. 88, Issue 12 https://doi.org/10.1103/PhysRevB.88.125116	journal	September 2013
Critical Exponents in 3.99 Dimensions Wilson, Kenneth G.; Fisher, Michael E. Physical Review Letters, Vol. 28, Issue 4 https://doi.org/10.1103/PhysRevLett.28.240	journal	January 1972
Ferromagnetic transition and phase diagram of the one-dimensional Hubbard model with next-nearest-neighbor hopping Daul, S.; Noack, R. M. Physical Review B, Vol. 58, Issue 5 https://doi.org/10.1103/PhysRevB.58.2635	journal	August 1998
Quantum critical behavior in itinerant electron systems: Eliashberg theory and instability of a ferromagnetic quantum critical point Rech, Jérôme; Pépin, Catherine; Chubukov, Andrey V. Physical Review B, Vol. 74, Issue 19 https://doi.org/10.1103/PhysRevB.74.195126	journal	November 2006
Local field theory for disordered itinerant quantum ferromagnets Belitz, D.; Kirkpatrick, T. R.; Mercaldo, Maria Teresa Physical Review B, Vol. 63, Issue 17 https://doi.org/10.1103/PhysRevB.63.174427	journal	April 2001
Odd-Parity Superconductivity near an Inversion Breaking Quantum Critical Point in One Dimension Ruhman, Jonathan; Kozii, Vladyslav; Fu, Liang Physical Review Letters, Vol. 118, Issue 22 https://doi.org/10.1103/PhysRevLett.118.227001	journal	May 2017
Quantum critical behavior in disordered itinerant ferromagnets: Logarithmic corrections to scaling Belitz, D.; Kirkpatrick, T. R.; Mercaldo, Maria Teresa Physical Review B, Vol. 63, Issue 17 https://doi.org/10.1103/PhysRevB.63.174428	journal	April 2001
One-dimensional itinerant ferromagnets with Heisenberg symmetry and the ferromagnetic quantum critical point Sengupta, K.; Kim, Yong Baek Physical Review B, Vol. 71, Issue 17 https://doi.org/10.1103/PhysRevB.71.174427	journal	May 2005
Fluctuation-Driven Quantum Phase Transitions in Clean Itinerant Ferromagnets Belitz, D.; Kirkpatrick, T. R. Physical Review Letters, Vol. 89, Issue 24 https://doi.org/10.1103/PhysRevLett.89.247202	journal	November 2002
Instability of the Quantum-Critical Point of Itinerant Ferromagnets Chubukov, Andrey V.; Pépin, Catherine; Rech, Jerome Physical Review Letters, Vol. 92, Issue 14 https://doi.org/10.1103/PhysRevLett.92.147003	journal	April 2004
Smectic- $A - C$ transition in three dimensions Grinstein, G.; Pelcovits, R. A. Physical Review A, Vol. 26, Issue 4 https://doi.org/10.1103/PhysRevA.26.2196	journal	October 1982
Quantum-critical theory of the spin-fermion model and its application to cuprates: Normal state analysis Abanov, Ar.; Chubukov, Andrey V.; Schmalian, J. Advances in Physics, Vol. 52, Issue 3 https://doi.org/10.1080/0001873021000057123	journal	March 2003
Quantum Phase Transitions Sachdev, Subir https://doi.org/10.1017/CBO9780511973765	book	January 2011
Phase Transition in a Lattice Model of Superconductivity Dasgupta, C.; Halperin, B. I. Physical Review Letters, Vol. 47, Issue 21 https://doi.org/10.1103/PhysRevLett.47.1556	journal	November 1981
Low-energy effective theory of Fermi surface coupled with U(1) gauge field in $2 + 1$ dimensions Lee, Sung-Sik Physical Review B, Vol. 80, Issue 16 https://doi.org/10.1103/PhysRevB.80.165102	journal	October 2009
Smectic, cholesteric, and Rayleigh-Benard order in two dimensions Toner, John; Nelson, David R. Physical Review B, Vol. 23, Issue 1 https://doi.org/10.1103/PhysRevB.23.316	journal	January 1981
Zero-bias peaks and splitting in an Al–InAs nanowire topological superconductor as a signature of Majorana fermions Das, Anindya; Ronen, Yuval; Most, Yonatan Nature Physics, Vol. 8, Issue 12 https://doi.org/10.1038/nphys2479	journal	November 2012
Effect of a nonzero temperature on quantum critical points in itinerant fermion systems Millis, A. J. Physical Review B, Vol. 48, Issue 10 https://doi.org/10.1103/PhysRevB.48.7183	journal	September 1993
Critical behavior of an Ising model on a cubic compressible lattice Bergman, D. J.; Halperin, B. I. Physical Review B, Vol. 13, Issue 5 https://doi.org/10.1103/PhysRevB.13.2145	journal	March 1976
Dynamic Scaling of Growing Interfaces Kardar, Mehran; Parisi, Giorgio; Zhang, Yi-Cheng Physical Review Letters, Vol. 56, Issue 9 https://doi.org/10.1103/PhysRevLett.56.889	journal	March 1986
Landau-Ginzburg mean-field theory for the nematic to smectic- $C$ and nematic to smectic- $A$ phase transitions Chen, Jing-huei; Lubensky, T. C. Physical Review A, Vol. 14, Issue 3 https://doi.org/10.1103/PhysRevA.14.1202	journal	September 1976
Quantum phase transitions of metals in two spatial dimensions. I. Ising-nematic order Metlitski, Max A.; Sachdev, Subir Physical Review B, Vol. 82, Issue 7 https://doi.org/10.1103/PhysRevB.82.075127	journal	August 2010
Quantum Physics in One Dimension Giamarchi, Thierry https://doi.org/10.1093/acprof:oso/9780198525004.001.0001	book	December 2003

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Ferroelectromagnetic Properties of PbFe1/2Nb1/2O3 (PFN) Material Synthesized by Chemical-Wet Technology Bochenek, Dariusz; Niemiec, Przemysław Materials, Vol. 11, Issue 12 https://doi.org/10.3390/ma11122504	journal	December 2018

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