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

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:
ORCiD logo [1];  [1];  [1]
  1. Iowa State Univ., Ames, IA (United States)
Publication Date:
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.
Van Dyke, John S., Zhang, Guanghua, & Flint, Rebecca. Field-induced ferrohastatic phase in cubic non-Kramers doublet systems. United States. doi:https://doi.org/10.1103/PhysRevB.100.205122
Van Dyke, John S., Zhang, Guanghua, and Flint, Rebecca. Mon . "Field-induced ferrohastatic phase in cubic non-Kramers doublet systems". United States. doi:https://doi.org/10.1103/PhysRevB.100.205122. https://www.osti.gov/servlets/purl/1595302.
@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 = {2019},
month = {11}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

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

Save / Share:

Works referenced in this record:

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


Topological Kondo Insulators
journal, March 2010


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


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

  • Chandra, Premala; Coleman, Piers; Flint, Rebecca
  • Nature, Vol. 493, Issue 7434
  • DOI: 10.1038/nature11820

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

  • Sato, Yoshiaki; Morodomi, Hiroki; Ienaga, Koichiro
  • Journal of the Physical Society of Japan, Vol. 79, Issue 9
  • DOI: 10.1143/JPSJ.79.093708

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

  • Sakai, Akito; Nakatsuji, Satoru
  • Journal of the Physical Society of Japan, Vol. 80, Issue 6
  • DOI: 10.1143/JPSJ.80.063701

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

  • Taniguchi, Takanori; Yoshida, Makoto; Takeda, Hikaru
  • Journal of the Physical Society of Japan, Vol. 85, Issue 11
  • DOI: 10.7566/JPSJ.85.113703

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

  • U. Ito, Takashi; Higemoto, Wataru; Ninomiya, Kazuhiko
  • Journal of the Physical Society of Japan, Vol. 80, Issue 11
  • DOI: 10.1143/JPSJ.80.113703

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

  • Gegenwart, Philipp; Si, Qimiao; Steglich, Frank
  • Nature Physics, Vol. 4, Issue 3
  • DOI: 10.1038/nphys892

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

  • Onimaru, Takahiro; Kusunose, Hiroaki
  • Journal of the Physical Society of Japan, Vol. 85, Issue 8
  • DOI: 10.7566/JPSJ.85.082002

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

  • Niemann, Sabine; Jeitschko, Wolfgang
  • Journal of Solid State Chemistry, Vol. 114, Issue 2
  • DOI: 10.1006/jssc.1995.1052

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

  • Hattori, Kazumasa; Tsunetsugu, Hirokazu
  • Journal of the Physical Society of Japan, Vol. 83, Issue 3
  • DOI: 10.7566/JPSJ.83.034709

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

  • Hoshino, Shintaro; Otsuki, Junya; Kuramoto, Yoshio
  • Journal of the Physical Society of Japan, Vol. 82, Issue 4
  • DOI: 10.7566/JPSJ.82.044707

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

  • Yoshida, Taichi; Machida, Yo; Izawa, Koichi
  • Journal of the Physical Society of Japan, Vol. 86, Issue 4
  • DOI: 10.7566/JPSJ.86.044711

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

  • Kuramoto, Yoshio; Hoshino, Shintaro
  • Journal of the Physical Society of Japan, Vol. 83, Issue 6
  • DOI: 10.7566/JPSJ.83.061007

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

  • Onimaru, Takahiro; T. Matsumoto, Keisuke; F. Inoue, Yukihiro
  • Journal of the Physical Society of Japan, Vol. 79, Issue 3
  • DOI: 10.1143/JPSJ.79.033704

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

  • Hattori, Kazumasa; Tsunetsugu, Hirokazu
  • Journal of the Physical Society of Japan, Vol. 85, Issue 9
  • DOI: 10.7566/JPSJ.85.094001

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

  • Tsuruta, Atsushi; Miyake, Kazumasa
  • Journal of the Physical Society of Japan, Vol. 84, Issue 11
  • DOI: 10.7566/JPSJ.84.114714

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

  • Sakai, Akito; Kuga, Kentaro; Nakatsuji, Satoru
  • Journal of the Physical Society of Japan, Vol. 81, Issue 8
  • DOI: 10.1143/JPSJ.81.083702

Unveiling hidden multipolar orders with magnetostriction
journal, September 2019


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

  • Flint, Rebecca; Dzero, M.; Coleman, P.
  • Nature Physics, Vol. 4, Issue 8
  • DOI: 10.1038/nphys1024

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


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