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Title: Random strain induced correlations in materials with intertwined nematic and magnetic orders

Journal Article · · Physical Review. B

Electronic nematicity is rarely observed as an isolated instability of a correlated electron system. Instead, in iron pnictides and in certain cuprates and heavy-fermion materials, nematicity is intertwined with an underlying spin-stripe or charge-stripe state. As a result, random strain, ubiquitous in any real crystal, creates both random-field disorder for the nematic degrees of freedom and random-bond disorder for the spin or charge ones. Here, we put forward an Ashkin-Teller model with random Baxter fields to capture the dual role of random strain in nematic systems for which nematicity is a composite order arising from a stripe state. Using Monte Carlo to simulate this random Baxter-field model, we find not only the expected break-up of the system into nematic domains, but also the emergence of nontrivial disorder-promoted magnetic correlations. Such correlations enhance and tie up the fluctuations associated with the two degenerate magnetic stripe states from which nematicity arises, leaving characteristic signatures in the spatial profile of the magnetic domains, in the configurational space of the spin variables, and in the magnetic noise spectrum. We discuss possible experimental manifestations of these effects in iron-pnictide superconductors. Furthermore, our work establishes the random Baxter-field model as a more complete alternative to the random-field Ising model to describe complex electronic nematic phenomena in the presence of disorder.

Research Organization:
Univ. of Minnesota, Minneapolis, MN (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division; National Science Foundation (NSF)
Grant/Contract Number:
SC0020045; DMR1828489; NSF PHY-1748958
OSTI ID:
1961326
Journal Information:
Physical Review. B, Vol. 106, Issue 11; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (76)

Evidence for a vestigial nematic state in the cuprate pseudogap phase journal June 2019
Local structural variation as source of magnetic moment reduction in BaFe 2 As 2 journal November 2012
Ising and spin orders in the iron-based superconductors journal July 2008
Theory of spin glasses journal May 1975
Nanoscale Electronic Order in Iron Pnictides journal March 2010
Vestigial nematicity from spin and/or charge order in the cuprates journal August 2017
Scaling between Magnetic and Lattice Fluctuations in Iron Pnictide Superconductors journal September 2013
Topological Defects Coupling Smectic Modulations to Intra-Unit-Cell Nematicity in Cuprates journal July 2011
Using disorder to detect locally ordered electron nematics via hysteresis journal July 2011
Rare region effects at classical, quantum and nonequilibrium phase transitions journal May 2006
Nematic Susceptibility of Hole-Doped and Electron-Doped Ba F e 2 As 2 Iron-Based Superconductors from Shear Modulus Measurements journal January 2014
Determining the density of states for classical statistical models: A random walk algorithm to produce a flat histogram journal October 2001
Nematic State in CeAuSb 2 journal February 2020
Interplay of magnetic and structural transitions in iron-based pnictide superconductors journal July 2010
A practical guide to replica-exchange Wang—Landau simulations journal April 2018
Coupling between the structural and magnetic transition in CeFeAsO journal April 2010
Enhanced nematic fluctuations near an antiferromagnetic Mott insulator and possible application to high-Tc cuprates journal January 2019
Random-Field Instability of the Ordered State of Continuous Symmetry journal November 1975
The effects of post-growth annealing on the structural and magnetic properties of BaFe 2 As 2 journal February 2016
Electronic liquid-crystal phases of a doped Mott insulator journal June 1998
Divergent Nematic Susceptibility in an Iron Arsenide Superconductor journal August 2012
Random-field induced interface widths in Ising systems journal December 1983
Generic, Hierarchical Framework for Massively Parallel Wang-Landau Sampling journal May 2013
Efficient, Multiple-Range Random Walk Algorithm to Calculate the Density of States journal March 2001
Two types of nematicity in the phase diagram of the cuprate superconductor YBa 2 Cu 3 O y journal December 2015
Spatial complexity due to bulk electronic nematicity in a superconducting underdoped cuprate journal January 2012
Low-frequency fluctuations in solids: 1 f noise journal July 1981
Effects of Nematic Fluctuations on the Elastic Properties of Iron Arsenide Superconductors journal October 2010
Equation of State Calculations by Fast Computing Machines journal June 1953
Nematic Fermi Fluids in Condensed Matter Physics journal August 2010
Ordering due to disorder in a frustrated vector antiferromagnet journal April 1989
Impurity Scattering and Triplet Superconductivity in U Pt 3 journal November 1995
Ubiquitous signatures of nematic quantum criticality in optimally doped Fe-based superconductors journal May 2016
Sixfold enhancement of superconductivity in a tunable electronic nematic system journal December 2019
Nematicity in stripe-ordered cuprates probed via resonant x-ray scattering journal February 2016
Intra-unit-cell electronic nematicity of the high-Tc copper-oxide pseudogap states journal July 2010
Superconductivity with Pairs in a Relative p Wave journal August 1963
Spin reorientation driven by the interplay between spin-orbit coupling and Hund's rule coupling in iron pnictides journal December 2015
Antiferromagnetic order and spin dynamics in iron-based superconductors journal August 2015
Disorder in Quantum Many-Body Systems journal March 2019
Theory of dynamic critical phenomena journal July 1977
Colloquium : Theory of intertwined orders in high temperature superconductors journal May 2015
Extremely Strong Dependence of Superconductivity on Disorder in Sr 2 RuO 4 journal January 1998
Phase transitions in the frustrated Ising model on the square lattice journal April 2013
Progressive slowing down of spin fluctuations in underdoped LaFeAsO 1 x F x journal September 2013
Ashkin-Teller Criticality and Pseudo-First-Order Behavior in a Frustrated Ising Model on the Square Lattice journal January 2012
1 f noise and other slow, nonexponential kinetics in condensed matter journal April 1988
Strong Correlations and Magnetic Frustration in the High T c Iron Pnictides journal August 2008
Scalable replica-exchange framework for Wang-Landau sampling journal August 2014
Stabilization of an ambient-pressure collapsed tetragonal phase in CaFe 2 As 2 and tuning of the orthorhombic-antiferromagnetic transition temperature by over 70 K via control of nanoscale precipitates journal April 2011
Tuning a random-field mechanism in a frustrated magnet journal July 2018
NMR evidence for inhomogeneous glassy behavior driven by nematic fluctuations in iron arsenide superconductors journal October 2015
Ultrafast observation of critical nematic fluctuations and giant magnetoelastic coupling in iron pnictides journal February 2014
Phase diagram for the Ashkin-Teller model in three dimensions journal September 1980
Quenched disorder and vestigial nematicity in the pseudogap regime of the cuprates journal May 2014
New Universality of Critical Exponents journal June 1974
Rounding of first-order phase transitions in systems with quenched disorder journal May 1989
Principles of Condensed Matter Physics book January 1995
Ising transition in frustrated Heisenberg models journal January 1990
Dimensional crossover in the quasi-two-dimensional Ising-O(3) model journal December 2011
Hysteresis and Noise from Electronic Nematicity in High-Temperature Superconductors journal March 2006
Intertwined Vestigial Order in Quantum Materials: Nematicity and Beyond journal March 2019
Decoding Spatial Complexity in Strongly Correlated Electronic Systems journal January 2015
Spin glasses: Experimental facts, theoretical concepts, and open questions journal October 1986
Stripe order, impurities, and symmetry breaking in a diluted frustrated magnet journal January 2022
What drives nematic order in iron-based superconductors? journal January 2014
NMR Evidence for Inhomogeneous Nematic Fluctuations in BaFe 2 ( As 1 x P x ) 2 journal March 2016
Theory of electron nematic order in LaFeAsO journal June 2008
Charge-density-wave order with momentum ( 2 Q , 0 ) and ( 0 , 2 Q ) within the spin-fermion model: Continuous and discrete symmetry breaking, preemptive composite order, and relation to pseudogap in hole-doped cuprates journal July 2014
Noise predictions for STM in systems with local electron nematic order journal June 2010
Dimensional Crossover and Charge Order in Half-Doped Manganites and Cobaltites journal July 2003
Preemptive nematic order, pseudogap, and orbital order in the iron pnictides journal January 2012
Global phase diagram for magnetism and lattice distortion of iron-pnictide materials journal September 2009
Elastic theory of pinned flux lattices journal March 1994
Edwards-Anderson parameter and local Ising nematicity in FeSe revealed via NMR spectral broadening journal September 2021
The puzzle of high temperature superconductivity in layered iron pnictides and chalcogenides journal October 2010