Defect-induced electronic smectic state at the surface of nematic materials

Lahiri, Aritra; Klein, Avraham; Fernandes, Rafael M.

doi:10.1103/physrevb.106.l140503

Defect-induced electronic smectic state at the surface of nematic materials

Journal Article · Mon Oct 10 00:00:00 EDT 2022 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.106.l140503· OSTI ID:1962327

^[1]; ^[2]; Fernandes, Rafael M. ^[3]

Univ. of Minnesota, Minneapolis, MN (United States); Univ. of Würzburg (Germany); University of Minnesota
Ariel Univ. (Israel)
Univ. of Minnesota, Minneapolis, MN (United States)

Due to the intertwining between electronic nematic and elastic degrees of freedom, lattice defects and structural inhomogeneities commonly found in crystals can have a significant impact on the electronic properties of nematic materials. Here, we show that defects commonly present at the surface of crystals generally shift the wave-vector of the nematic instability to a non-zero value, resulting in an incommensurate electronic smectic phase. Such a smectic state onsets above the bulk nematic transition temperature and is localized near the surface of the sample. We argue that this effect may explain not only recent observations of a modulated nematic phase in iron-based superconductors, but also several previous puzzling experiments that reported signatures consistent with nematic order before the onset of a bulk structural distortion.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Minnesota, Minneapolis, MN (United States)

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

Grant/Contract Number:: SC0020045

OSTI ID:: 1962327

Alternate ID(s):: OSTI ID: 1896557

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 14 Vol. 106; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (73)

Data for Science paper 2021 Shimojima, Takahiro Zenodo https://doi.org/10.5281/zenodo.4885407	dataset	January 2021
The Crystal Lattice Kosevich, Arnold M. Wiley‐VCH Verlag GmbH & Co. https://doi.org/10.1002/352760667X	book	January 2005
Elastic Models of Crystal Defects Teodosiu, Cristian Springer Berlin, Heidelberg https://doi.org/10.1007/978-3-662-11634-0	book	January 1982
Anisotropic continuum theory of lattice defects Bacon, D. J.; Barnett, D. M.; Scattergood, R. O. Progress in Materials Science, Vol. 23 https://doi.org/10.1016/0079-6425(80)90007-9	journal	January 1980
Elastic modeling of point-defects and their interaction Clouet, Emmanuel; Varvenne, Céline; Jourdan, Thomas Computational Materials Science, Vol. 147 https://doi.org/10.1016/j.commatsci.2018.01.053	journal	May 2018
Electronic nematic susceptibility of iron-based superconductors Böhmer, Anna E.; Meingast, Christoph Comptes Rendus Physique, Vol. 17, Issue 1-2 https://doi.org/10.1016/j.crhy.2015.07.001	journal	January 2016
Charge nematicity and electronic Raman scattering in iron-based superconductors Gallais, Yann; Paul, Indranil Comptes Rendus Physique, Vol. 17, Issue 1-2 https://doi.org/10.1016/j.crhy.2015.10.001	journal	January 2016
Elastic properties of mono- and poly-crystalline PbO-type FeSe1−xTex (x=0–1.0): A first-principles study Chandra, S.; Islam, A. K. M. A. Physica C: Superconductivity, Vol. 470, Issue 22 https://doi.org/10.1016/j.physc.2010.10.001	journal	December 2010
Elastic effects on surface physics Muller, P. Surface Science Reports, Vol. 54, Issue 5-8 https://doi.org/10.1016/j.surfrep.2004.05.001	journal	August 2004
Introduction to the Replica Theory of Disordered Statistical Systems Dotsenko, Viktor Cambridge University Press https://doi.org/10.1017/CBO9780511524592	book	January 2009
Scaling and Renormalization in Statistical Physics Cardy, John Cambridge University Press https://doi.org/10.1017/CBO9781316036440	book	January 2015
Intra-unit-cell electronic nematicity of the high-Tc copper-oxide pseudogap states Lawler, M. J.; Fujita, K.; Lee, Jhinhwan Nature, Vol. 466, Issue 7304 https://doi.org/10.1038/nature09169	journal	July 2010
Electronic nematicity above the structural and superconducting transition in BaFe2(As1−xP x )2 Kasahara, S.; Shi, H. J.; Hashimoto, K. Nature, Vol. 486, Issue 7403 https://doi.org/10.1038/nature11178	journal	June 2012
Electronic in-plane symmetry breaking at field-tuned quantum criticality in CeRhIn5 Ronning, F.; Helm, T.; Shirer, K. R. Nature, Vol. 548, Issue 7667 https://doi.org/10.1038/nature23315	journal	August 2017
Visualization of electron nematicity and unidirectional antiferroic fluctuations at high temperatures in NaFeAs Rosenthal, E. P.; Andrade, E. F.; Arguello, C. J. Nature Physics, Vol. 10, Issue 3 https://doi.org/10.1038/nphys2870	journal	February 2014
What drives nematic order in iron-based superconductors? Fernandes, R. M.; Chubukov, A. V.; Schmalian, J. Nature Physics, Vol. 10, Issue 2 https://doi.org/10.1038/nphys2877	journal	January 2014
Stripes developed at the strong limit of nematicity in FeSe film Li, Wei; Zhang, Yan; Deng, Peng Nature Physics, Vol. 13, Issue 10 https://doi.org/10.1038/nphys4186	journal	July 2017
Discovery of a strain-stabilised smectic electronic order in LiFeAs Yim, Chi Ming; Trainer, Christopher; Aluru, Ramakrishna Nature Communications, Vol. 9, Issue 1 https://doi.org/10.1038/s41467-018-04909-y	journal	July 2018
Diagonal nematicity in the pseudogap phase of HgBa2CuO4+δ Murayama, H.; Sato, Y.; Kurihara, R. Nature Communications, Vol. 10, Issue 1 https://doi.org/10.1038/s41467-019-11200-1	journal	July 2019
Z3-vestigial nematic order due to superconducting fluctuations in the doped topological insulators NbxBi2Se3 and CuxBi2Se3 Cho, Chang-woo; Shen, Junying; Lyu, Jian Nature Communications, Vol. 11, Issue 1 https://doi.org/10.1038/s41467-020-16871-9	journal	June 2020
Incommensurate smectic phase in close proximity to the high-Tc superconductor FeSe/SrTiO3 Yuan, Yonghao; Fan, Xuemin; Wang, Xintong Nature Communications, Vol. 12, Issue 1 https://doi.org/10.1038/s41467-021-22516-2	journal	April 2021
Vestigial nematic order and superconductivity in the doped topological insulator Cu x Bi2Se3 Hecker, Matthias; Schmalian, Jörg npj Quantum Materials, Vol. 3, Issue 1 https://doi.org/10.1038/s41535-018-0098-z	journal	May 2018
Lattice-shifted nematic quantum critical point in FeSe1−xSx Chibani, S.; Farina, D.; Massat, P. npj Quantum Materials, Vol. 6, Issue 1 https://doi.org/10.1038/s41535-021-00336-3	journal	April 2021
Enhanced superconductivity and ferroelectric quantum criticality in plastically deformed strontium titanate Hameed, S.; Pelc, D.; Anderson, Z. W. Nature Materials, Vol. 21, Issue 1 https://doi.org/10.1038/s41563-021-01102-3	journal	October 2021
Moiré nematic phase in twisted double bilayer graphene Rubio-Verdú, Carmen; Turkel, Simon; Song, Yuan Nature Physics, Vol. 18, Issue 2 https://doi.org/10.1038/s41567-021-01438-2	journal	December 2021
Orbital-anisotropic electronic structure in the nonmagnetic state of BaFe2(As1−xP x )2 superconductors Sonobe, T.; Shimojima, T.; Nakamura, A. Scientific Reports, Vol. 8, Issue 1 https://doi.org/10.1038/s41598-018-20332-1	journal	February 2018
Quenched disorder and vestigial nematicity in the pseudogap regime of the cuprates Nie, L.; Tarjus, G.; Kivelson, S. A. Proceedings of the National Academy of Sciences, Vol. 111, Issue 22 https://doi.org/10.1073/pnas.1406019111	journal	May 2014
On the lowering of dimensionality in phase transitions with random fields Young, A. P. Journal of Physics C: Solid State Physics, Vol. 10, Issue 9 https://doi.org/10.1088/0022-3719/10/9/007	journal	May 1977
Manifestations of nematic degrees of freedom in the magnetic, elastic, and superconducting properties of the iron pnictides Fernandes, Rafael M.; Schmalian, Jörg Superconductor Science and Technology, Vol. 25, Issue 8 https://doi.org/10.1088/0953-2048/25/8/084005	journal	July 2012
Resistivity near a nematic quantum critical point: Impact of acoustic phonons de Carvalho, V. S.; Fernandes, R. M. Physical Review B, Vol. 100, Issue 11 https://doi.org/10.1103/PhysRevB.100.115103	journal	September 2019
Inhomogeneous time-reversal symmetry breaking in Sr 2 RuO 4 Willa, Roland; Hecker, Matthias; Fernandes, Rafael M. Physical Review B, Vol. 104, Issue 2 https://doi.org/10.1103/PhysRevB.104.024511	journal	July 2021
Edwards-Anderson parameter and local Ising nematicity in FeSe revealed via NMR spectral broadening Wiecki, Paul; Zhou, Rui; Julien, Marc-Henri Physical Review B, Vol. 104, Issue 12 https://doi.org/10.1103/PhysRevB.104.125134	journal	September 2021
Elastic-displacement field of an isolated surface step Stewart, John; Pohland, Oliver; Gibson, J. Murray Physical Review B, Vol. 49, Issue 19 https://doi.org/10.1103/PhysRevB.49.13848	journal	May 1994
Elastic field of a surface step: Atomistic simulations and anisotropic elastic theory Shilkrot, L. E.; Srolovitz, D. J. Physical Review B, Vol. 53, Issue 16 https://doi.org/10.1103/PhysRevB.53.11120	journal	April 1996
Adatom-step interactions: Atomistic simulations and elastic models Shilkrot, L. E.; Srolovitz, D. J. Physical Review B, Vol. 55, Issue 7 https://doi.org/10.1103/PhysRevB.55.4737	journal	February 1997
Global phase diagram for magnetism and lattice distortion of iron-pnictide materials Qi, Yang; Xu, Cenke Physical Review B, Vol. 80, Issue 9 https://doi.org/10.1103/PhysRevB.80.094402	journal	September 2009
Phase diagram of Ba 1 − x K x Fe 2 As 2 Avci, S.; Chmaissem, O.; Chung, D. Y. Physical Review B, Vol. 85, Issue 18 https://doi.org/10.1103/PhysRevB.85.184507	journal	May 2012
Doping dependence of femtosecond quasiparticle relaxation dynamics in Ba(Fe,Co) 2 As 2 single crystals: Evidence for normal-state nematic fluctuations Stojchevska, L.; Mertelj, T.; Chu, Jiun-Haw Physical Review B, Vol. 86, Issue 2 https://doi.org/10.1103/PhysRevB.86.024519	journal	July 2012
Impact of the two Fe unit cell on the electronic structure measured by ARPES in iron pnictides Brouet, V.; Jensen, M. Fuglsang; Lin, Ping-Hui Physical Review B, Vol. 86, Issue 7 https://doi.org/10.1103/PhysRevB.86.075123	journal	August 2012
Pseudogap formation above the superconducting dome in iron pnictides Shimojima, T.; Sonobe, T.; Malaeb, W. Physical Review B, Vol. 89, Issue 4 https://doi.org/10.1103/PhysRevB.89.045101	journal	January 2014
Antiferromagnetic and nematic phase transitions in BaF e 2 ( A s 1 − x P x ) 2 studied by ac microcalorimetry and SQUID magnetometry Luo, X.; Stanev, V.; Shen, B. Physical Review B, Vol. 91, Issue 9 https://doi.org/10.1103/PhysRevB.91.094512	journal	March 2015
Observation of two distinct d x z / d y z band splittings in FeSe Zhang, P.; Qian, T.; Richard, P. Physical Review B, Vol. 91, Issue 21 https://doi.org/10.1103/PhysRevB.91.214503	journal	June 2015
Electronic nematic correlations in the stress-free tetragonal state of BaFe 2 − x Ni x As 2 Man, Haoran; Lu, Xingye; Chen, Justin S. Physical Review B, Vol. 92, Issue 13 https://doi.org/10.1103/PhysRevB.92.134521	journal	October 2015
Elastic coupling and spin-driven nematicity in iron-based superconductors Karahasanovic, U.; Schmalian, J. Physical Review B, Vol. 93, Issue 6 https://doi.org/10.1103/PhysRevB.93.064520	journal	February 2016
Surface nematic order in iron pnictides Song, Kok Wee; Koshelev, Alexei E. Physical Review B, Vol. 94, Issue 9 https://doi.org/10.1103/PhysRevB.94.094509	journal	September 2016
Suppression of electronic correlations by chemical pressure from FeSe to FeS Reiss, P.; Watson, M. D.; Kim, T. K. Physical Review B, Vol. 96, Issue 12 https://doi.org/10.1103/PhysRevB.96.121103	journal	September 2017
NMR evidence for static local nematicity and its cooperative interplay with low-energy magnetic fluctuations in FeSe under pressure Wiecki, P.; Nandi, M.; Böhmer, A. E. Physical Review B, Vol. 96, Issue 18 https://doi.org/10.1103/PhysRevB.96.180502	journal	November 2017
Nematic fluctuations in iron arsenides NaFeAs and LiFeAs probed by As 75 NMR Toyoda, Masayuki; Kobayashi, Yoshiaki; Itoh, Masayuki Physical Review B, Vol. 97, Issue 9 https://doi.org/10.1103/PhysRevB.97.094515	journal	March 2018
Smeared nematic quantum phase transitions due to rare-region effects in inhomogeneous systems Cui, Tianbai; Fernandes, Rafael M. Physical Review B, Vol. 98, Issue 8 https://doi.org/10.1103/PhysRevB.98.085117	journal	August 2018
Effects of Nematic Fluctuations on the Elastic Properties of Iron Arsenide Superconductors Fernandes, R. M.; VanBebber, L. H.; Bhattacharya, S. Physical Review Letters, Vol. 105, Issue 15 https://doi.org/10.1103/PhysRevLett.105.157003	journal	October 2010
Scaling between Magnetic and Lattice Fluctuations in Iron Pnictide Superconductors Fernandes, Rafael M.; Böhmer, Anna E.; Meingast, Christoph Physical Review Letters, Vol. 111, Issue 13 https://doi.org/10.1103/PhysRevLett.111.137001	journal	September 2013
Lattice Effects on Nematic Quantum Criticality in Metals Paul, I.; Garst, M. Physical Review Letters, Vol. 118, Issue 22 https://doi.org/10.1103/PhysRevLett.118.227601	journal	June 2017
Imaging Anomalous Nematic Order and Strain in Optimally Doped BaFe 2 ( As , P ) 2 Thewalt, Eric; Hayes, Ian M.; Hinton, James P. Physical Review Letters, Vol. 121, Issue 2 https://doi.org/10.1103/PhysRevLett.121.027001	journal	July 2018
Nematic Correlation Length in Iron-Based Superconductors Probed by Inelastic X-Ray Scattering Merritt, A. M.; Weber, F.; Castellan, J. -P. Physical Review Letters, Vol. 124, Issue 15 https://doi.org/10.1103/PhysRevLett.124.157001	journal	April 2020
Evidence of Potts-Nematic Superfluidity in a Hexagonal s p 2 Optical Lattice Jin, Shengjie; Zhang, Wenjun; Guo, Xinxin Physical Review Letters, Vol. 126, Issue 3 https://doi.org/10.1103/PhysRevLett.126.035301	journal	January 2021
Random-Field Instability of the Ordered State of Continuous Symmetry Imry, Yoseph; Ma, Shang-keng Physical Review Letters, Vol. 35, Issue 21 https://doi.org/10.1103/PhysRevLett.35.1399	journal	November 1975
Lowering of Dimensionality in Phase Transitions with Random Fields Aharony, Amnon; Imry, Yoseph; Ma, Shang-keng Physical Review Letters, Vol. 37, Issue 20 https://doi.org/10.1103/PhysRevLett.37.1364	journal	November 1976
Ferromagnetic Phase Transitions in Random Fields: The Breakdown of Scaling Laws Grinstein, G. Physical Review Letters, Vol. 37, Issue 14 https://doi.org/10.1103/PhysRevLett.37.944	journal	October 1976
Hysteresis and Noise from Electronic Nematicity in High-Temperature Superconductors Carlson, E. W.; Dahmen, K. A.; Fradkin, E. Physical Review Letters, Vol. 96, Issue 9 https://doi.org/10.1103/PhysRevLett.96.097003	journal	March 2006
Laser-induced control of an electronic nematic quantum phase transition Klein, Avraham; Christensen, Morten H.; Fernandes, Rafael M. Physical Review Research, Vol. 2, Issue 1 https://doi.org/10.1103/PhysRevResearch.2.013336	journal	March 2020
Nematic State in CeAuSb 2 Seo, S.; Wang, Xiaoyu; Thomas, S. M. Physical Review X, Vol. 10, Issue 1 https://doi.org/10.1103/PhysRevX.10.011035	journal	February 2020
Nematic Electronic Structure in the “Parent” State of the Iron-Based Superconductor Ca(Fe _1– _x Co _x ) ₂ As ₂ Chuang, T. -M.; Allan, M. P.; Lee, Jinho Science, Vol. 327, Issue 5962 https://doi.org/10.1126/science.1181083	journal	January 2010
In-Plane Resistivity Anisotropy in an Underdoped Iron Arsenide Superconductor Chu, J. -H.; Analytis, J. G.; De Greve, K. Science, Vol. 329, Issue 5993 https://doi.org/10.1126/science.1190482	journal	August 2010
Rotational Symmetry Breaking in the Hidden-Order Phase of URu2Si2 Okazaki, R.; Shibauchi, T.; Shi, H. J. Science, Vol. 331, Issue 6016 https://doi.org/10.1126/science.1197358	journal	January 2011
Divergent Nematic Susceptibility in an Iron Arsenide Superconductor Chu, J. -H.; Kuo, H. -H.; Analytis, J. G. Science, Vol. 337, Issue 6095 https://doi.org/10.1126/science.1221713	journal	August 2012
Ubiquitous signatures of nematic quantum criticality in optimally doped Fe-based superconductors Kuo, H. -H.; Chu, J. -H.; Palmstrom, J. C. Science, Vol. 352, Issue 6288 https://doi.org/10.1126/science.aab0103	journal	May 2016
Nematicity and competing orders in superconducting magic-angle graphene Cao, Yuan; Rodan-Legrain, Daniel; Park, Jeong Min Science, Vol. 372, Issue 6539 https://doi.org/10.1126/science.abc2836	journal	April 2021
Discovery of mesoscopic nematicity wave in iron-based superconductors Shimojima, T.; Motoyui, Y.; Taniuchi, T. Science, Vol. 373, Issue 6559 https://doi.org/10.1126/science.abd6701	journal	September 2021
Quadrupole Effects of Layered Iron Pnictide Superconductor Ba(Fe _0.9 Co _0.1 ) ₂ As ₂ Goto, Terutaka; Kurihara, Ryosuke; Araki, Koji Journal of the Physical Society of Japan, Vol. 80, Issue 7 https://doi.org/10.1143/JPSJ.80.073702	journal	July 2011
Structural Quantum Criticality and Superconductivity in Iron-Based Superconductor Ba(Fe _{1- x} Co _x ) ₂ As ₂ Yoshizawa, Masahito; Kimura, Daichi; Chiba, Taiji Journal of the Physical Society of Japan, Vol. 81, Issue 2 https://doi.org/10.1143/JPSJ.81.024604	journal	February 2012
Nematic Fermi Fluids in Condensed Matter Physics Fradkin, Eduardo; Kivelson, Steven A.; Lawler, Michael J. Annual Review of Condensed Matter Physics, Vol. 1, Issue 1 https://doi.org/10.1146/annurev-conmatphys-070909-103925	journal	August 2010
Replica Symmetry Breaking in the Random Field Ising Model Mézard, M.; Young, A. P. Europhysics Letters (EPL), Vol. 18, Issue 7 https://doi.org/10.1209/0295-5075/18/7/014	journal	April 1992
Emergence of Orbital Nematicity in the Tetragonal Phase of BaFe ₂ (As ₁₋ _x P _x ) ₂ Iye, Tetsuya; Julien, Marc-Henri; Mayaffre, Hadrien Journal of the Physical Society of Japan, Vol. 84, Issue 4 https://doi.org/10.7566/JPSJ.84.043705	journal	April 2015

Similar Records

The smectic Z_A phase: Antiferroelectric smectic order as a prelude to the ferroelectric nematic

Journal Article · Tue Feb 14 19:00:00 EST 2023 · Proceedings of the National Academy of Sciences of the United States of America · OSTI ID:2000497

Topological Defects Coupling Smectic Modulations to Intra–Unit-Cell Nematicity in Cuprates

Journal Article · Fri Jul 22 00:00:00 EDT 2011 · Science (Washington, D.C.) · OSTI ID:1040492

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

Journal Article · Sun Sep 18 20:00:00 EDT 2022 · Physical Review. B · OSTI ID:1961326

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
Disordered systems
High-temperature superconductors
Iron-based superconductors
Landau-Ginzburg theory
Nematic phase transition
Superconductivity

Defect-induced electronic smectic state at the surface of nematic materials

Citation Formats

References (73)

Similar Records

Related Subjects