skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Transverse fields to tune an Ising-nematic quantum phase transition

Abstract

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:
; ; ORCiD logo; ; ; ;
Publication Date:
Research Org.:
SLAC National Accelerator Lab., 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. doi: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. doi: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 = {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 = {2017},
month = {12}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1073/pnas.1712533114

Citation Metrics:
Cited by: 2 works
Citation information provided by
Web of Science

Save / Share:

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
  • DOI: 10.1073/pnas.1015572108

Quadrupolar couplings and magnetic phase diagrams in tetragonal TmAu 2
journal, January 1999


Formation of an electronic nematic phase in interacting fermion systems
journal, October 2004


Orbital order driven quantum criticality
journal, October 2008


Quadrupolar ordering in tetragonal TmAg 2
journal, July 1993


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
  • DOI: 10.1103/RevModPhys.87.457

Nematic spin correlations in the tetragonal state of uniaxial-strained BaFe2-xNixAs2
journal, July 2014


Competing orders, nonlinear sigma models, and topological terms in quantum magnets
journal, August 2006


Pairing instability in a nematic Fermi liquid
journal, April 2004


Anisotropic charge dynamics in detwinned Ba(Fe 1-x Co x ) 2 As 2
journal, February 2011


Enhancement of Superconductivity near a Nematic Quantum Critical Point
journal, March 2015


Continuous quantum phase transitions
journal, January 1997


Cooper pairing in non-Fermi liquids
journal, March 2015


Periodic density-of-states modulations in superconducting Bi 2 Sr 2 CaCu 2 O 8 + δ
journal, January 2003


Pairing interaction near a nematic quantum critical point of a three-band CuO 2 model
journal, November 2014


Superconductivity in FeSe Thin Films Driven by the Interplay between Nematic Fluctuations and Spin-Orbit Coupling
journal, November 2016


Lattice symmetry breaking in cuprate superconductors: stripes, nematics, and superconductivity
journal, November 2009


Mean-field theory for symmetry-breaking Fermi surface deformations on a square lattice
journal, July 2005


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
  • DOI: 10.1038/31177

Quadrupole Interactions in Rare-Earth Intermetallic Compounds
journal, December 1988


Quadrupolar ordering and magnetic properties of tetragonal TmAu 2
journal, September 1998


Electrical Resistivity Anisotropy from Self-Organized One Dimensionality in High-Temperature Superconductors
journal, March 2002


Measurement of the elastoresistivity coefficients of the underdoped iron arsenide Ba(Fe 0.975 Co 0.025 ) 2 As 2
journal, August 2013


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
  • DOI: 10.1038/nphys2877

Two types of nematicity in the phase diagram of the cuprate superconductor YBa 2 Cu 3 O y
journal, December 2015


Co-operative Jahn-Teller effects
journal, January 1975


In-Plane Resistivity Anisotropy in an Underdoped Iron Arsenide Superconductor
journal, August 2010


Electronic Liquid Crystal State in the High-Temperature Superconductor YBa2Cu3O6.45
journal, January 2008


Multipolar interactions in f -electron systems: The paradigm of actinide dioxides
journal, June 2009

  • Santini, Paolo; Carretta, Stefano; Amoretti, Giuseppe
  • Reviews of Modern Physics, Vol. 81, Issue 2
  • DOI: 10.1103/RevModPhys.81.807

Ab-initio calculation of indirect multipolar pair interactions in intermetallic rare-earth compounds
journal, March 1985


Ubiquitous signatures of nematic quantum criticality in optimally doped Fe-based superconductors
journal, May 2016


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
  • DOI: 10.1038/nature09169

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
  • DOI: 10.1073/pnas.1605806113

Quadrupolar interactions in rare earth intermetallics
journal, March 1990


Nematic Electronic Structure in the “Parent” State of the Iron-Based Superconductor Ca(Fe 1– x Co x ) 2 As 2
journal, January 2010