Field-induced ferrohastatic phase in cubic non-Kramers doublet systems

Van Dyke, John S.; Zhang, Guanghua; Flint, Rebecca

doi:10.1103/PhysRevB.100.205122

Title: Field-induced ferrohastatic phase in cubic non-Kramers doublet systems

Abstract

Cubic Pr-based compounds with $$Γ$$₃ non-Kramers doublet ground states can realize a novel heavy Fermi liquid with spinorial hybridization (“hastatic” order) that breaks time-reversal symmetry. Several Pr-“1-2-20” materials exhibit a suggestive heavy Fermi liquid stabilized in intermediate magnetic fields; these provide key insight into the quadrupolar Kondo lattice. In this work, we develop a simple yet realistic microscopic model of ferrohastatic order and elaborate its experimental signatures and behavior in field, where it is a good candidate to explain the observed heavy Fermi liquids at intermediate fields in Pr(Ir,Rh)₂Zn₂₀. In addition, we develop the Landau theory of ferrohastatic order, which allows us to understand its behavior close to the transition and explore thermodynamic signatures from magnetic susceptibility to thermal expansion.

Authors:

^[1]; Zhang, Guanghua ^[1]; Flint, Rebecca ^[1]

Iowa State Univ., Ames, IA (United States)

Publication Date:: Mon Nov 18 00:00:00 EST 2019

Research Org.:: Iowa State Univ., Ames, IA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; National Science Foundation (NSF)

OSTI Identifier:: 1595302

Grant/Contract Number:: SC0015891; PHYS-1066293

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review B

Additional Journal Information:: Journal Volume: 100; Journal Issue: 20; Journal ID: ISSN 2469-9950

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Kondo effect; Heavy-fermion systems; Large-N expansion in field theory

Citation Formats


                    Van Dyke, John S., Zhang, Guanghua, and Flint, Rebecca. Field-induced ferrohastatic phase in cubic non-Kramers doublet systems.  United States: N. p., 2019. 
Web.  doi:10.1103/PhysRevB.100.205122.

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                    Van Dyke, John S., Zhang, Guanghua, & Flint, Rebecca. Field-induced ferrohastatic phase in cubic non-Kramers doublet systems.  United States.  https://doi.org/10.1103/PhysRevB.100.205122

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                    Van Dyke, John S., Zhang, Guanghua, and Flint, Rebecca. Mon .  
"Field-induced ferrohastatic phase in cubic non-Kramers doublet systems".  United States.  https://doi.org/10.1103/PhysRevB.100.205122.  https://www.osti.gov/servlets/purl/1595302.

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@article{osti_1595302,

  title        = {Field-induced ferrohastatic phase in cubic non-Kramers doublet systems},

  author       = {Van Dyke, John S. and Zhang, Guanghua and Flint, Rebecca},

  abstractNote = {Cubic Pr-based compounds with $Γ$3 non-Kramers doublet ground states can realize a novel heavy Fermi liquid with spinorial hybridization (“hastatic” order) that breaks time-reversal symmetry. Several Pr-“1-2-20” materials exhibit a suggestive heavy Fermi liquid stabilized in intermediate magnetic fields; these provide key insight into the quadrupolar Kondo lattice. In this work, we develop a simple yet realistic microscopic model of ferrohastatic order and elaborate its experimental signatures and behavior in field, where it is a good candidate to explain the observed heavy Fermi liquids at intermediate fields in Pr(Ir,Rh)2Zn20. In addition, we develop the Landau theory of ferrohastatic order, which allows us to understand its behavior close to the transition and explore thermodynamic signatures from magnetic susceptibility to thermal expansion.},

  doi          = {10.1103/PhysRevB.100.205122},

  journal      = {Physical Review B},

  number       = 20,

  volume       = 100,

  place        = {United States},

  year         = {Mon Nov 18 00:00:00 EST 2019},

  month        = {Mon Nov 18 00:00:00 EST 2019}

}

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Title: Field-induced ferrohastatic phase in cubic non-Kramers doublet systems

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Superconductivity and Structural Phase Transitions in Caged Compounds RT 2 Zn 20 (R = La, Pr, T = Ru, Ir) journal, March 2010

Simplified LCAO Method for the Periodic Potential Problem journal, June 1954

Heavy-Fermion Superconductivity in the Quadrupole Ordered State of PrV 2 Al 20 journal, December 2014

Collective excitations from composite orders in Kondo lattice with non-Kramers doublets journal, March 2015

Superconductivity of Composite Particles in a Two-Channel Kondo Lattice journal, April 2014

The Kondo Problem to Heavy Fermions book, January 1993

Quantum criticality journal, January 2005

Two-stage multipolar ordering in Pr T 2 Al 20 Kondo materials journal, March 2018

Classical Monte Carlo Study for Antiferro Quadrupole Orders in a Diamond Lattice journal, September 2016

Exotic Kondo effects in metals: Magnetic ions in a crystalline electric field and tunnelling centres journal, September 1998

Non-Fermi Liquid and Fermi Liquid in Two-Channel Anderson Lattice Model: Theory for Pr A 2 Al 20 ( A = V, Ti) and PrIr 2 Zn 20 journal, November 2015

Pressure-Induced Heavy Fermion Superconductivity in the Nonmagnetic Quadrupolar System PrTi 2 Al 20 journal, November 2012

Entropy Evolution in the Magnetic Phases of Partially Frustrated CePdAl journal, March 2017

Superconductivity in the Ferroquadrupolar State in the Quadrupolar Kondo Lattice PrTi 2 Al 20 journal, August 2012

Unveiling hidden multipolar orders with magnetostriction journal, September 2019

Heavy electrons and the symplectic symmetry of spin journal, July 2008

Simultaneous superconducting and antiferroquadrupolar transitions in PrRh 2 Zn 20 journal, November 2012

Scanning tunneling spectroscopy and surface quasiparticle interference in models for the strongly correlated topological insulators SmB 6 and PuB 6 journal, November 2014

Role of infrared divergences in the 1/N expansion of the U=∞ Anderson model journal, May 1985

Field-induced quadrupolar quantum criticality in PrV 2 Al 20 journal, June 2015

Phase Diagram of the Two-Channel Kondo Lattice Model in One Dimension journal, April 2005

Quantum criticality journal, February 2011

Unconventional superconductivity journal, November 1995

Quantum Criticality in Heavy Fermion Metals text, January 2007

Superconductivity of Composite Particles in Two-Channel Kondo Lattice text, January 2013

Hidden Order Behaviour in URu2Si2 (A Critical Review of the Status of Hidden Order in 2014) text, January 2014

Scanning tunneling spectroscopy and surface quasiparticle interference in models for the strongly correlated topological insulators SmB6 and PuB6 text, January 2014

Anomalous specific heat behaviour in the quadrupolar Kondo system PrV2Al20 text, January 2014

Mass-Imbalanced Superconductivity in Effective Two-Channel Kondo Lattice text, January 2016

Cubic hastatic order in the two-channel Kondo-Heisenberg model text, January 2018

Antiferroquadrupolar ordering and magnetic-field-induced phase transition in the cage compound PrRh 2 Zn 20
journal, May 2013

Diagonal Composite Order in a Two-Channel Kondo Lattice
journal, December 2011

Hastatic order in the heavy-fermion compound URu2Si2
journal, January 2013

Ferromagnetism in a Narrow, Almost Half-Filled $s$ Band
journal, July 1966

Unconventional superconductivity
journal, April 2017

New Phase Diagram of PrPb ₃ in [100] Magnetic Filed Direction
journal, September 2010

Cubic hastatic order in the two-channel Kondo-Heisenberg model
journal, December 2018

Magnetic excitations and $c$ - $f$ hybridization effect in PrTi $_{2}$ Al $_{20}$ and PrV $_{2}$ Al $_{20}$
journal, August 2013

Quadrupole-driven non-Fermi-liquid and magnetic-field-induced heavy fermion states in a non-Kramers doublet system
journal, August 2016

A new functional integral formalism for the degenerate Anderson model
journal, October 1983

Cubic Topological Kondo Insulators
journal, November 2013

New approach to the mixed-valence problem
journal, March 1984

Quadrupolar Kondo effect in uranium heavy-electron materials?
journal, September 1987

Kondo Effects and Multipolar Order in the Cubic Pr Tr ₂ Al ₂₀ ( Tr =Ti, V)
journal, June 2011

Antiferroquadrupolar Ordering in a Pr-Based Superconductor ${PrIr}_{2} {Zn}_{20}$
journal, April 2011

NMR Observation of Ferro-Quadrupole Order in PrTi ₂ Al ₂₀
journal, November 2016

Possible Correlated-Electron Behavior from Quadrupolar Fluctuations in PrInA $g_{2}$
journal, October 1996

Highly anisotropic strain dependencies in PrIr 2 Zn 20
journal, February 2019

Mass-Imbalanced Superconductivity in Effective Two-Channel Kondo Lattice
journal, November 2016

µSR Evidence of Nonmagnetic Order and ¹⁴¹ Pr Hyperfine-Enhanced Nuclear Magnetism in the Cubic Γ ₃ Ground Doublet System PrTi ₂ Al ₂₀
journal, November 2011

Kondo resonance in PrTi $_{2}$ Al $_{20}$ : Photoemission spectroscopy and single-impurity Anderson model calculations
journal, November 2011

Quantum criticality in heavy-fermion metals
journal, March 2008

Topological Kondo Insulators
journal, March 2016

Measuring magnetostriction with neutrons
journal, February 2008

Hidden order behaviour in URu ₂ Si ₂ (A critical review of the status of hidden order in 2014)
journal, May 2014

Exotic Quadrupolar Phenomena in Non-Kramers Doublet Systems — The Cases of Pr T ₂ Zn ₂₀ ( T = Ir, Rh) and Pr T ₂ Al ₂₀ ( T = V, Ti) —
journal, August 2016

Ternary Aluminides AT2Al20 (A = Rare Earth Elements and Uranium; T = Ti, Nb, Ta, Mo, and W) with CeCr2Al20-Type Structure
journal, February 1995

Hastatic order in ${URu}_{2} {Si}_{2}$ : Hybridization with a twist
journal, May 2015

Landau theory of multipolar orders in Pr ( Y ) 2 X 20 Kondo materials ( Y = Ti , V, Rh, Ir; X = Al , Zn)
journal, October 2018

Evidence for antiferromagnetic-type ordering of $f$ -electron multipoles in ${PrIr}_{2} {Zn}_{20}$
journal, April 2017

Anomalous specific heat behaviour in the quadrupolar Kondo system PrV ₂ Al ₂₀
journal, March 2015

Cooper Instability in the Presence of a Spin Liquid
journal, January 1989

Antiferro Quadrupole Orders in Non-Kramers Doublet Systems
journal, March 2014

Resolution of Entropy \(\ln\sqrt{2}\) by Ordering in Two-Channel Kondo Lattice
journal, April 2013

Anisotropic B – T Phase Diagram of Non-Kramers System PrRh ₂ Zn ₂₀
journal, April 2017

Composite Orders and Lifshitz Transition of Heavy Electrons
journal, June 2014

Ferroquadrupolar ordering in PrTi $_{2}$ Al $_{20}$
journal, November 2012

Superconductivity and Structural Phase Transitions in Caged Compounds RT ₂ Zn ₂₀ (R = La, Pr, T = Ru, Ir)
journal, March 2010

Simplified LCAO Method for the Periodic Potential Problem
journal, June 1954

Heavy-Fermion Superconductivity in the Quadrupole Ordered State of ${PrV}_{2} {Al}_{20}$
journal, December 2014

Collective excitations from composite orders in Kondo lattice with non-Kramers doublets
journal, March 2015

Superconductivity of Composite Particles in a Two-Channel Kondo Lattice
journal, April 2014

The Kondo Problem to Heavy Fermions
book, January 1993

Quantum criticality
journal, January 2005

Two-stage multipolar ordering in $\Pr T_{2} {Al}_{20}$ Kondo materials
journal, March 2018

Classical Monte Carlo Study for Antiferro Quadrupole Orders in a Diamond Lattice
journal, September 2016

Exotic Kondo effects in metals: Magnetic ions in a crystalline electric field and tunnelling centres
journal, September 1998

Non-Fermi Liquid and Fermi Liquid in Two-Channel Anderson Lattice Model: Theory for Pr A 2 Al 20 ( A = V, Ti) and PrIr 2 Zn 20
journal, November 2015

Pressure-Induced Heavy Fermion Superconductivity in the Nonmagnetic Quadrupolar System ${PrTi}_{2} {Al}_{20}$
journal, November 2012

Entropy Evolution in the Magnetic Phases of Partially Frustrated CePdAl
journal, March 2017

Superconductivity in the Ferroquadrupolar State in the Quadrupolar Kondo Lattice PrTi 2 Al 20
journal, August 2012

Unveiling hidden multipolar orders with magnetostriction
journal, September 2019

Heavy electrons and the symplectic symmetry of spin
journal, July 2008

Simultaneous superconducting and antiferroquadrupolar transitions in PrRh $_{2}$ Zn $_{20}$
journal, November 2012

Scanning tunneling spectroscopy and surface quasiparticle interference in models for the strongly correlated topological insulators ${SmB}_{6}$ and ${PuB}_{6}$
journal, November 2014

Role of infrared divergences in the 1/N expansion of the U=∞ Anderson model
journal, May 1985

Field-induced quadrupolar quantum criticality in ${PrV}_{2} {Al}_{20}$
journal, June 2015

Phase Diagram of the Two-Channel Kondo Lattice Model in One Dimension
journal, April 2005

Quantum criticality
journal, February 2011

Unconventional superconductivity
journal, November 1995

Quantum Criticality in Heavy Fermion Metals
text, January 2007

Superconductivity of Composite Particles in Two-Channel Kondo Lattice
text, January 2013

Hidden Order Behaviour in URu2Si2 (A Critical Review of the Status of Hidden Order in 2014)
text, January 2014

Scanning tunneling spectroscopy and surface quasiparticle interference in models for the strongly correlated topological insulators SmB6 and PuB6
text, January 2014

Anomalous specific heat behaviour in the quadrupolar Kondo system PrV2Al20
text, January 2014

Mass-Imbalanced Superconductivity in Effective Two-Channel Kondo Lattice
text, January 2016

Cubic hastatic order in the two-channel Kondo-Heisenberg model
text, January 2018