Transverse fields to tune an Ising-nematic quantum phase transition
Abstract
Here, the paradigmatic example of a continuous quantum phase transition is the transverse field Ising ferromagnet. In contrast to classical critical systems, whose properties depend only on symmetry and the dimension of space, the nature of a quantum phase transition also depends on the dynamics. In the transverse field Ising model, the order parameter is not conserved, and increasing the transverse field enhances quantum fluctuations until they become strong enough to restore the symmetry of the ground state. Ising pseudospins can represent the order parameter of any system with a twofold degenerate broken-symmetry phase, including electronic nematic order associated with spontaneous point-group symmetry breaking. Here, we show for the representative example of orbital-nematic ordering of a non-Kramers doublet that an orthogonal strain or a perpendicular magnetic field plays the role of the transverse field, thereby providing a practical route for tuning appropriate materials to a quantum critical point. While the transverse fields are conjugate to seemingly unrelated order parameters, their nontrivial commutation relations with the nematic order parameter, which can be represented by a Berry-phase term in an effective field theory, intrinsically intertwine the different order parameters.
- Authors:
-
- Department of Physics, Stanford University, Stanford, CA 94305,, Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, Menlo Park, CA 94025,
- Department of Applied Physics, Stanford University, Stanford, CA 94305,
- Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot, Israel 761001,, Department of Physics, University of Chicago, Chicago, IL 60637,
- School of Physics and Astronomy, University of Minnesota, Minneapolis, MN 55455
- Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, Menlo Park, CA 94025,, Department of Applied Physics, Stanford University, Stanford, CA 94305,
- Publication Date:
- Research Org.:
- SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1411287
- Alternate Identifier(s):
- OSTI ID: 1416346
- Grant/Contract Number:
- AC02-76SF00515; SC0012336; DGE-114747; GBMF4414; 1291/12; 2014209
- Resource Type:
- Published Article
- Journal Name:
- Proceedings of the National Academy of Sciences of the United States of America
- Additional Journal Information:
- Journal Name: Proceedings of the National Academy of Sciences of the United States of America Journal Volume: 114 Journal Issue: 51; Journal ID: ISSN 0027-8424
- Publisher:
- Proceedings of the National Academy of Sciences
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; quantum phase transitions; electronic nematicity; strongly correlated electrons; condensed matter physics
Citation Formats
Maharaj, Akash V., Rosenberg, Elliott W., Hristov, Alexander T., Berg, Erez, Fernandes, Rafael M., Fisher, Ian R., and Kivelson, Steven A. Transverse fields to tune an Ising-nematic quantum phase transition. United States: N. p., 2017.
Web. doi:10.1073/pnas.1712533114.
Maharaj, Akash V., Rosenberg, Elliott W., Hristov, Alexander T., Berg, Erez, Fernandes, Rafael M., Fisher, Ian R., & Kivelson, Steven A. Transverse fields to tune an Ising-nematic quantum phase transition. United States. https://doi.org/10.1073/pnas.1712533114
Maharaj, Akash V., Rosenberg, Elliott W., Hristov, Alexander T., Berg, Erez, Fernandes, Rafael M., Fisher, Ian R., and Kivelson, Steven A. Tue .
"Transverse fields to tune an Ising-nematic quantum phase transition". United States. https://doi.org/10.1073/pnas.1712533114.
@article{osti_1411287,
title = {Transverse fields to tune an Ising-nematic quantum phase transition},
author = {Maharaj, Akash V. and Rosenberg, Elliott W. and Hristov, Alexander T. and Berg, Erez and Fernandes, Rafael M. and Fisher, Ian R. and Kivelson, Steven A.},
abstractNote = {Here, the paradigmatic example of a continuous quantum phase transition is the transverse field Ising ferromagnet. In contrast to classical critical systems, whose properties depend only on symmetry and the dimension of space, the nature of a quantum phase transition also depends on the dynamics. In the transverse field Ising model, the order parameter is not conserved, and increasing the transverse field enhances quantum fluctuations until they become strong enough to restore the symmetry of the ground state. Ising pseudospins can represent the order parameter of any system with a twofold degenerate broken-symmetry phase, including electronic nematic order associated with spontaneous point-group symmetry breaking. Here, we show for the representative example of orbital-nematic ordering of a non-Kramers doublet that an orthogonal strain or a perpendicular magnetic field plays the role of the transverse field, thereby providing a practical route for tuning appropriate materials to a quantum critical point. While the transverse fields are conjugate to seemingly unrelated order parameters, their nontrivial commutation relations with the nematic order parameter, which can be represented by a Berry-phase term in an effective field theory, intrinsically intertwine the different order parameters.},
doi = {10.1073/pnas.1712533114},
journal = {Proceedings of the National Academy of Sciences of the United States of America},
number = 51,
volume = 114,
place = {United States},
year = {Tue Dec 05 00:00:00 EST 2017},
month = {Tue Dec 05 00:00:00 EST 2017}
}
https://doi.org/10.1073/pnas.1712533114
Web of Science
Works referenced in this record:
Symmetry-breaking orbital anisotropy observed for detwinned Ba(Fe1-xCox)2As2 above the spin density wave transition
journal, April 2011
- Yi, M.; Lu, D.; Chu, J. -H.
- Proceedings of the National Academy of Sciences, Vol. 108, Issue 17
Quadrupolar couplings and magnetic phase diagrams in tetragonal TmAu 2
journal, January 1999
- Morin, P.; Kazei, Z.; Lejay, P.
- Journal of Physics: Condensed Matter, Vol. 11, Issue 5
Formation of an electronic nematic phase in interacting fermion systems
journal, October 2004
- Khavkine, Igor; Chung, Chung-Hou; Oganesyan, Vadim
- Physical Review B, Vol. 70, Issue 15
Orbital order driven quantum criticality
journal, October 2008
- Nussinov, Z.; Ortiz, G.
- EPL (Europhysics Letters), Vol. 84, Issue 3
Quadrupolar ordering in tetragonal
journal, July 1993
- Morin, P.; Rouchy, J.
- Physical Review B, Vol. 48, Issue 1
Colloquium : Theory of intertwined orders in high temperature superconductors
journal, May 2015
- Fradkin, Eduardo; Kivelson, Steven A.; Tranquada, John M.
- Reviews of Modern Physics, Vol. 87, Issue 2
Nematic spin correlations in the tetragonal state of uniaxial-strained BaFe2-xNixAs2
journal, July 2014
- Lu, X.; Park, J. T.; Zhang, R.
- Science, Vol. 345, Issue 6197
Competing orders, nonlinear sigma models, and topological terms in quantum magnets
journal, August 2006
- Senthil, T.; Fisher, Matthew P. A.
- Physical Review B, Vol. 74, Issue 6
Pairing instability in a nematic Fermi liquid
journal, April 2004
- Kim, Yong Baek; Kee, Hae-Young
- Journal of Physics: Condensed Matter, Vol. 16, Issue 18
Anisotropic charge dynamics in detwinned Ba(Fe 1-x Co x ) 2 As 2
journal, February 2011
- Dusza, A.; Lucarelli, A.; Pfuner, F.
- EPL (Europhysics Letters), Vol. 93, Issue 3
Enhancement of Superconductivity near a Nematic Quantum Critical Point
journal, March 2015
- Lederer, S.; Schattner, Y.; Berg, E.
- Physical Review Letters, Vol. 114, Issue 9
Continuous quantum phase transitions
journal, January 1997
- Sondhi, S. L.; Girvin, S. M.; Carini, J. P.
- Reviews of Modern Physics, Vol. 69, Issue 1
Cooper pairing in non-Fermi liquids
journal, March 2015
- Metlitski, Max A.; Mross, David F.; Sachdev, Subir
- Physical Review B, Vol. 91, Issue 11
Periodic density-of-states modulations in superconducting
journal, January 2003
- Howald, C.; Eisaki, H.; Kaneko, N.
- Physical Review B, Vol. 67, Issue 1
Pairing interaction near a nematic quantum critical point of a three-band model
journal, November 2014
- Maier, T. A.; Scalapino, D. J.
- Physical Review B, Vol. 90, Issue 17
Superconductivity in FeSe Thin Films Driven by the Interplay between Nematic Fluctuations and Spin-Orbit Coupling
journal, November 2016
- Kang, Jian; Fernandes, Rafael M.
- Physical Review Letters, Vol. 117, Issue 21
Lattice symmetry breaking in cuprate superconductors: stripes, nematics, and superconductivity
journal, November 2009
- Vojta, Matthias
- Advances in Physics, Vol. 58, Issue 6
Mean-field theory for symmetry-breaking Fermi surface deformations on a square lattice
journal, July 2005
- Yamase, Hiroyuki; Oganesyan, Vadim; Metzner, Walter
- Physical Review B, Vol. 72, Issue 3
Electronic liquid-crystal phases of a doped Mott insulator
journal, June 1998
- Kivelson, S. A.; Fradkin, E.; Emery, V. J.
- Nature, Vol. 393, Issue 6685
Quadrupole Interactions in Rare-Earth Intermetallic Compounds
journal, December 1988
- Morin, P.; Schmitt, D.
- Le Journal de Physique Colloques, Vol. 49, Issue C8
Quadrupolar ordering and magnetic properties of tetragonal
journal, September 1998
- Kosaka, Masashi; Onodera, Hideya; Ohoyama, Kenji
- Physical Review B, Vol. 58, Issue 10
Electrical Resistivity Anisotropy from Self-Organized One Dimensionality in High-Temperature Superconductors
journal, March 2002
- Ando, Yoichi; Segawa, Kouji; Komiya, Seiki
- Physical Review Letters, Vol. 88, Issue 13
Measurement of the elastoresistivity coefficients of the underdoped iron arsenide Ba(Fe Co ) As
journal, August 2013
- Kuo, Hsueh-Hui; Shapiro, Maxwell C.; Riggs, Scott C.
- Physical Review B, Vol. 88, Issue 8
What drives nematic order in iron-based superconductors?
journal, January 2014
- Fernandes, R. M.; Chubukov, A. V.; Schmalian, J.
- Nature Physics, Vol. 10, Issue 2
Two types of nematicity in the phase diagram of the cuprate superconductor
journal, December 2015
- Cyr-Choinière, O.; Grissonnanche, G.; Badoux, S.
- Physical Review B, Vol. 92, Issue 22
Co-operative Jahn-Teller effects
journal, January 1975
- Gehring, G. A.; Gehring, K. A.
- Reports on Progress in Physics, Vol. 38, Issue 1
In-Plane Resistivity Anisotropy in an Underdoped Iron Arsenide Superconductor
journal, August 2010
- Chu, J. -H.; Analytis, J. G.; De Greve, K.
- Science, Vol. 329, Issue 5993
Electronic Liquid Crystal State in the High-Temperature Superconductor YBa2Cu3O6.45
journal, January 2008
- Hinkov, V.; Haug, D.; Fauque, B.
- Science, Vol. 319, Issue 5863
Multipolar interactions in -electron systems: The paradigm of actinide dioxides
journal, June 2009
- Santini, Paolo; Carretta, Stefano; Amoretti, Giuseppe
- Reviews of Modern Physics, Vol. 81, Issue 2
Ab-initio calculation of indirect multipolar pair interactions in intermetallic rare-earth compounds
journal, March 1985
- Schmitt, D.; Levy, P. M.
- Journal of Magnetism and Magnetic Materials, Vol. 49, Issue 1-2
Ubiquitous signatures of nematic quantum criticality in optimally doped Fe-based superconductors
journal, May 2016
- Kuo, H. -H.; Chu, J. -H.; Palmstrom, J. C.
- Science, Vol. 352, Issue 6288
Intra-unit-cell electronic nematicity of the high-Tc copper-oxide pseudogap states
journal, July 2010
- Lawler, M. J.; Fujita, K.; Lee, Jhinhwan
- Nature, Vol. 466, Issue 7304
Nematic quantum critical point without magnetism in FeSe 1− x S x superconductors
journal, July 2016
- Hosoi, Suguru; Matsuura, Kohei; Ishida, Kousuke
- Proceedings of the National Academy of Sciences, Vol. 113, Issue 29
Quadrupolar interactions in rare earth intermetallics
journal, March 1990
- Aléonard, R.; Morin, P.
- Journal of Magnetism and Magnetic Materials, Vol. 84, Issue 3
Nematic Electronic Structure in the “Parent” State of the Iron-Based Superconductor Ca(Fe 1– x Co x ) 2 As 2
journal, January 2010
- Chuang, T. -M.; Allan, M. P.; Lee, Jinho
- Science, Vol. 327, Issue 5962