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Title: Topological Quantum Materials for Realizing Majorana Quasiparticles

Journal Article · · Chemistry of Materials
 [1];  [1];  [1];  [2]; ORCiD logo [1]
  1. Sandia National Laboratories, Albuquerque, New Mexico 87185, United States
  2. Sandia National Laboratories, Livermore, California 94551-0969, United States

In the past decade, basic physics, chemistry, and materials science research on topological quantum materials and their potential use to implement reliable quantum computershas rapidly expanded to become a major endeavor. A pivotal goal of this research has been to realize materials hosting Majorana quasiparticles, thereby making topological quantum computing a technological reality. While this goal remains elusive, recent data-mining studies, performed using topological quantum chemistry methodologies, have identified thousands of potential topological materialssome, and perhaps many, with potential for hosting Majoranas. We write this Review for advanced materials researchers who are interested in joining this expanding search, but who are not currently specialists in topology. The first half of the Review addresses, in readily understood terms, three main areas associated with topological sciences: (1) a description of topological quantum materials and how they enable quantum computing; (2) an explanation of Majorana quasiparticles, the important topologically endowed properties, and how it arises quantum mechanically; and (3) a description of the basic classes of topological materials where Majoranas might be found. The second half of the Review details selected materials systems where intense research efforts are underway to demonstrate nontrivial topological phenomena in the search for Majoranas. Specific materials reviewed include the groups II-V semiconductors (Cd3As2), the layered chalcogenides (MX2, ZrTe5), and the rare-earth pyrochlore iridates (A2Ir2O7, A = Eu, Pr). In each case, we describe crystallographic structures, bulk phase diagrams, materials synthesis methods (bulk, thin film, and/or nanowire forms), methods used to characterize topological phenomena, and potential evidence for the existence of Majorana quasiparticles.

Research Organization:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States); Sandia National Lab. (SNL-CA), Livermore, CA (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
AC04-94AL85000; NA0003525
OSTI ID:
1485186
Alternate ID(s):
OSTI ID: 1485823; OSTI ID: 1508791
Report Number(s):
SAND-2018-11285J
Journal Information:
Chemistry of Materials, Journal Name: Chemistry of Materials Vol. 31 Journal Issue: 1; ISSN 0897-4756
Publisher:
American Chemical SocietyCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 25 works
Citation information provided by
Web of Science

References (217)

Majorana Fermions and Topology in Superconductors journal July 2016
Imaging electronic states on topological semimetals using scanning tunneling microscopy journal October 2016
Growth and characterization of single crystals of ternary chalcogenides for laser applications
  • Isaenko, Ludmila I.; Yelisseyev, Alexander P.; Zondy, Jean-Jacques
  • International Conference on Solid State Crystals 2000, SPIE Proceedings https://doi.org/10.1117/12.435857
conference August 2001
Topological Materials: Weyl Semimetals journal March 2017
Odd-Parity Topological Superconductors: Theory and Application to Cu x Bi 2 Se 3 journal August 2010
Majorana fermions of a two-dimensional p x + i p y superconductor journal April 2009
A missing step is a key step journal September 2018
Electrically Detected Interferometry of Majorana Fermions in a Topological Insulator journal May 2009
Unpaired Majorana fermions in quantum wires journal October 2001
Dirac and Weyl Superconductors in Three Dimensions journal July 2014
Generic New Platform for Topological Quantum Computation Using Semiconductor Heterostructures journal January 2010
Direct imaging of the two-dimensional Fermi contour: Fourier-transform STM journal March 1998
Topological quantum computation journal July 2006
Non-Abelian statistics and topological quantum information processing in 1D wire networks journal February 2011
Gate-tuned quantum Hall states in Dirac semimetal (Cd 1− x Zn x ) 3 As 2 journal May 2018
Majorana zero modes in superconductor–semiconductor heterostructures journal May 2018
Superconducting proximity effect and Majorana flat bands at the surface of a Weyl semimetal journal May 2016
On the search for the chiral anomaly in Weyl semimetals: the negative longitudinal magnetoresistance journal August 2016
Tetradymites as thermoelectrics and topological insulators journal September 2017
Nonabelions in the fractional quantum hall effect journal August 1991
Probing Neutral Majorana Fermion Edge Modes with Charge Transport journal May 2009
Transition between strong and weak topological insulator in ZrTe5 and HfTe5 journal April 2017
Towards properties on demand in quantum materials journal October 2017
The superconducting phases of UPt 3 journal March 2002
Superconductivity at 5.2 K in ZrTe 3 polycrystals and the effect of Cu and Ag intercalation journal May 2012
Topological phases and quasiparticle braiding journal July 2012
Gate-tunable negative longitudinal magnetoresistance in the predicted type-II Weyl semimetal WTe2 journal October 2016
Topological insulators with inversion symmetry journal July 2007
Dislocation Majorana zero modes in perovskite oxide 2DEG journal May 2016
Direct observation of nonequivalent Fermi-arc states of opposite surfaces in the noncentrosymmetric Weyl semimetal NbP journal April 2016
The physics of quantum materials journal October 2017
Electronic structure, Dirac points and Fermi arc surface states in three-dimensional Dirac semimetal Na 3 Bi from angle-resolved photoemission spectroscopy journal July 2016
Stable Dirac semimetal in the allotropes of group-IV elements journal June 2016
2D transition metal dichalcogenides journal June 2017
Polycrystalline ZrTe 5 Parametrized as a Narrow-Band-Gap Semiconductor for Thermoelectric Performance journal January 2018
Topological Insulator Materials journal October 2013
Quantum transport in Dirac and Weyl semimetals: a review journal May 2017
Majorana-Based Fermionic Quantum Computation journal June 2018
Dirac semimetal and topological phase transitions in A 3 Bi ( A = Na , K, Rb) journal May 2012
The As-Cd (arsenic-cadmium) system journal April 1992
Spin--Orbit Coupling Effects in Two-Dimensional Electron and Hole Systems book January 2003
Origin of polymorphism of the two-dimensional group-IV monochalcogenides journal November 2017
Crystal growth and structure of R2Ir2O7 (R=Pr, Eu) using molten KF journal May 2007
Superconducting Proximity Effect and Majorana Fermions at the Surface of a Topological Insulator journal March 2008
Class D Spectral Peak in Majorana Quantum Wires journal November 2012
Majorana fermions in a tunable semiconductor device journal March 2010
The Property, Preparation and Application of Topological Insulators: A Review journal July 2017
Negative magnetoresistance in Dirac semimetal Cd3As2 journal January 2016
Topological superconductors: a review journal May 2017
Manipulation of the Majorana Fermion, Andreev Reflection, and Josephson Current on Topological Insulators journal September 2009
The intercalation chemistry of layered iron chalcogenide superconductors journal October 2016
Pressure-induced superconductivity in a three-dimensional topological material ZrTe 5 journal February 2016
A stable three-dimensional topological Dirac semimetal Cd3As2 journal May 2014
Majorana returns journal September 2009
Proposal to stabilize and detect half-quantum vortices in strontium ruthenate thin films: Non-Abelian braiding statistics of vortices in a p x + i p y superconductor journal June 2006
Quantum materials discovery from a synthesis perspective journal October 2017
Topological semimetals journal October 2016
Massless Dirac Fermions in ZrTe 2 Semimetal Grown on InAs(111) by van der Waals Epitaxy journal January 2018
Dependence of the Superconducting Transition Temperature on Carrier Concentration in Semiconducting SrTi O 3 journal March 1965
Metal-Nonmetal Changeover in Pyrochlore Iridates journal October 2001
Observation of Fermi arc surface states in a topological metal journal December 2014
Quantum Phase Transitions across a p-Wave Feshbach Resonance journal June 2005
Growth of Large-Area and Highly Crystalline MoS2 Thin Layers on Insulating Substrates journal February 2012
Stability of Majorana fermions in proximity-coupled topological insulator nanowires journal October 2012
Scaling of Majorana Zero-Bias Conductance Peaks journal September 2017
Breakdown of three-dimensional Dirac semimetal state in pressurized C d 3 A s 2 journal April 2015
Magnetic field driven nodal topological superconductivity in monolayer transition metal dichalcogenides journal July 2018
Te-Zr (Tellurium-Zirconium) journal April 1999
Experimental observation of topological Fermi arcs in type-II Weyl semimetal MoTe2 journal September 2016
Intercalation Complexes of Lewis Bases and Layered Sulfides: A Large Class of New Superconductors journal October 1971
Teoria simmetrica dell’elettrone e del positrone journal April 1937
Massless yet real journal August 2015
The quantum spin Hall effect and topological insulators journal January 2010
Classification of topological quantum matter with symmetries journal August 2016
Zero-Bias Peaks in the Tunneling Conductance of Spin-Orbit-Coupled Superconducting Wires with and without Majorana End-States journal December 2012
Quantum Hall states observed in thin films of Dirac semimetal Cd3As2 journal December 2017
Optical evidence for a Weyl semimetal state in pyrochlore Eu 2 Ir 2 O 7 journal December 2015
Topological insulators and metal-insulator transition in the pyrochlore iridates journal August 2010
Magnetoinfrared Spectroscopy of Landau Levels and Zeeman Splitting of Three-Dimensional Massless Dirac Fermions in ZrTe 5 journal October 2015
Ultrathin Films of Superconducting Metals as a Platform for Topological Superconductivity journal November 2018
Ballistic Majorana nanowire devices journal January 2018
Bulk and surface states carried supercurrent in ballistic Nb-Dirac semimetal Cd 3 As 2 nanowire-Nb junctions journal March 2018
Evidence for the chiral anomaly in the Dirac semimetal Na3Bi journal September 2015
Photoemission of quantum materials journal September 2017
Metal–Insulator Transition in Pyrochlore Iridates Ln 2 Ir 2 O 7 ( Ln = Nd, Sm, and Eu) journal April 2007
X-ray scattering study of pyrochlore iridates: Crystal structure, electronic, and magnetic excitations journal July 2016
Weyl and Dirac semimetals in three-dimensional solids journal January 2018
Evidence for topological behavior in superconducting Cu x ZrTe 2 y journal April 2017
Superconducting doped topological materials journal July 2015
Structural, magnetic, and electronic transport properties of pyrochlore iridate Pr2Ir2O7 conference January 2018
Topological and magnetic phases of interacting electrons in the pyrochlore iridates journal January 2012
Chemistry of intercalation compounds: Metal guests in chalcogenide hosts journal January 1978
Intercalation of Metallocenes in the Layered Transition-Metal Dichalcogenides journal June 1975
Negative magnetoresistance due to conductivity fluctuations in films of the topological semimetal C d 3 A s 2 journal June 2017
A road to reality with topological superconductors journal June 2016
Spin-resolved Andreev levels and parity crossings in hybrid superconductor–semiconductor nanostructures journal December 2013
Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid journal July 2018
Observation of a three-dimensional topological Dirac semimetal phase in high-mobility Cd3As2 journal May 2014
Evidence of Topological Surface State in Three-Dimensional Dirac Semimetal Cd3As2 journal August 2014
Braid Topologies for Quantum Computation journal September 2005
Discovery of a Three-Dimensional Topological Dirac Semimetal, Na3Bi journal January 2014
Unconventional Josephson Signatures of Majorana Bound States journal November 2011
Tunable Resistance or Magnetoresistance Cusp and Extremely Large Magnetoresistance in Defect-Engineered HfTe 5 δ Single Crystals journal May 2018
Discovery of a Weyl fermion semimetal and topological Fermi arcs journal July 2015
Chiral anomaly in Dirac semimetals due to dislocations journal March 2017
Observation of Half-Height Magnetization Steps in Sr2RuO4 journal January 2011
Topological properties and functionalities in oxide thin films and interfaces journal March 2018
Non-Abelian anyons and topological quantum computation journal September 2008
Carrier-concentration dependence of critical superconducting current induced by the proximity effect in silicon journal February 1986
Crystal structure and chemistry of topological insulators journal January 2013
The fractional a.c. Josephson effect in a semiconductor–superconductor nanowire as a signature of Majorana particles journal September 2012
Observation of Fermi arcs in the type-II Weyl semimetal candidate WTe 2 journal September 2016
Evidence for Topological Edge States in a Large Energy Gap near the Step Edges on the Surface of ZrTe 5 journal May 2016
Experimental Realization of a Three-Dimensional Dirac Semimetal journal July 2014
Fermi Surface with Dirac Fermions in CaFeAsF Determined via Quantum Oscillation Measurements journal February 2018
Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals journal July 2016
Chiral magnetic effect in ZrTe5 journal February 2016
Signature of type-II Weyl semimetal phase in MoTe2 journal January 2017
Non-Abelian quantum order in spin-orbit-coupled semiconductors: Search for topological Majorana particles in solid-state systems journal December 2010
Time-reversal invariant realization of the Weyl semimetal phase journal January 2012
Criteria for Directly Detecting Topological Fermi Arcs in Weyl Semimetals journal February 2016
Quantum computers journal March 2010
Magnetic susceptibility in three-dimensional nodal semimetals journal January 2016
Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures journal August 2010
Three-dimensional Dirac semimetal and quantum transport in Cd 3 As 2 journal September 2013
Midgap edge states and pairing symmetry of quasi-one-dimensional organic superconductors journal March 2001
A theoretical description of the new phases of liquid He 3 journal April 1975
Chiral superconductors journal April 2016
Chemical Principles of Topological Semimetals journal April 2018
Chern Semimetal and the Quantized Anomalous Hall Effect in HgCr 2 Se 4 journal October 2011
Stabilization and Band-Gap Tuning of the 1T-MoS 2 Monolayer by Covalent Functionalization journal May 2015
Weyl Semimetal Phase in Noncentrosymmetric Transition-Metal Monophosphides journal March 2015
Dirac Semimetal in Three Dimensions journal April 2012
Quantum computing journal February 1998
Unconventional superconductivity at mesoscopic point contacts on the 3D Dirac semimetal Cd3As2 journal November 2015
α RuCl 3 : A spin-orbit assisted Mott insulator on a honeycomb lattice journal July 2014
Observation of superconductivity induced by a point contact on 3D Dirac semimetal Cd3As2 crystals journal November 2015
Quadratic Fermi node in a 3D strongly correlated semimetal journal December 2015
Epitaxial growth of iridate pyrochlore Nd2Ir2O7 films journal February 2016
Anyons in an exactly solved model and beyond journal January 2006
Spin-Orbit Physics Giving Rise to Novel Phases in Correlated Systems: Iridates and Related Materials journal March 2016
Extremely Strong Dependence of Superconductivity on Disorder in Sr 2 RuO 4 journal January 1998
Transport evidence for the three-dimensional Dirac semimetal phase in ZrT e 5 journal March 2016
Search for Majorana Fermions in Superconductors journal April 2013
Topological Insulators in Three Dimensions journal March 2007
Spin splitting in 2D monochalcogenide semiconductors journal November 2015
Josephson current signatures of Majorana flat bands on the surface of time-reversal-invariant Weyl and Dirac semimetals journal May 2017
Majorana Fermion Induced Resonant Andreev Reflection journal December 2009
Prediction of Weyl semimetal in orthorhombic MoTe 2 journal October 2015
Majorana zero modes in dislocations of Sr 2 RuO 4 journal December 2014
The chemistry of two-dimensional layered transition metal dichalcogenide nanosheets journal April 2013
Josephson current and noise at a superconductor/quantum-spin-Hall-insulator/superconductor junction journal April 2009
Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase journal September 2007
Pressure-induced superconductivity in the three-dimensional topological Dirac semimetal Cd3As2 journal September 2016
Emerging opportunities in the two-dimensional chalcogenide systems and architecture journal December 2016
Flexible transition metal dichalcogenide nanosheets for band-selective photodetection journal September 2015
Topological semimetal and Fermi-arc surface states in the electronic structure of pyrochlore iridates journal May 2011
Metallic 1T phase MoS2 nanosheets as supercapacitor electrode materials journal March 2015
Topological insulators and superconductors journal October 2011
Longitudinal Negative Magnetoresistance and Magnetotransport Phenomena in Conventional and Topological Conductors journal January 2018
Tunneling characteristics of a chain of Majorana bound states journal November 2010
Majorana's wires journal March 2013
Observation of Fermi-Arc Spin Texture in TaAs journal November 2015
Topological insulators for thermoelectrics journal September 2017
Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells journal December 2006
Observation of the Quantum Hall Effect in Confined Films of the Three-Dimensional Dirac Semimetal Cd 3 As 2 journal January 2018
Scheme for reducing decoherence in quantum computer memory journal October 1995
Spontaneous Hall effect in the Weyl semimetal candidate of all-in all-out pyrochlore iridate journal August 2018
New directions in the pursuit of Majorana fermions in solid state systems journal June 2012
Three-dimensional nature of the band structure of ZrTe 5 measured by high-momentum-resolution photoemission spectroscopy journal May 2017
Transition Metal Dichalcogenides and Beyond: Synthesis, Properties, and Applications of Single- and Few-Layer Nanosheets journal December 2014
Crystal Chemical Constraints on the Formation of Actinide Pyrochlores journal January 1984
The Proximity Effect Between Superconducting and Normal thin Films in zero Field journal February 1968
Experimental properties of superfluid He 3 journal April 1975
Symmetry-based indicators of band topology in the 230 space groups journal June 2017
Optical spectroscopy study of the three-dimensional Dirac semimetal ZrTe 5 journal August 2015
Synthetic approaches to two-dimensional transition metal dichalcogenide nanosheets journal August 2017
Large single crystal growth, transport property and spectroscopic characterizations of three-dimensional Dirac semimetal Cd3As2 journal August 2015
Fractional ac Josephson effect in p- and d-wave superconductors journal February 2003
Self-organized pseudo-graphene on grain boundaries in topological band insulators journal June 2016
A tunable topological insulator in the spin helical Dirac transport regime journal July 2009
Ultrahigh mobility and giant magnetoresistance in the Dirac semimetal Cd3As2 journal November 2014
Landau quantization and quasiparticle interference in the three-dimensional Dirac semimetal Cd3As2 journal June 2014
A Topological Look at the Quantum Hall Effect journal August 2003
Fine structure of zero-mode Landau levels in HgTe/Hg x Cd 1 x Te quantum wells journal March 2011
π and 4 π Josephson Effects Mediated by a Dirac Semimetal journal April 2018
Quantized Hall Conductance in a Two-Dimensional Periodic Potential journal August 1982
Type-II Weyl semimetals journal November 2015
Anomalous Zero-Bias Conductance Peak in a Nb–InSb Nanowire–Nb Hybrid Device journal February 2012
Topological Magnon Bands and Unconventional Superconductivity in Pyrochlore Iridate Thin Films journal April 2017
Electronics and optoelectronics of two-dimensional transition metal dichalcogenides journal November 2012
Colloquium: Topological insulators journal November 2010
Weyl Semimetal in a Topological Insulator Multilayer journal September 2011
Detecting topological superconductivity using low-frequency doubled Shapiro steps journal February 2017
Transition-Metal Pentatelluride ZrTe 5 and HfTe 5 : A Paradigm for Large-Gap Quantum Spin Hall Insulators journal January 2014
Prediction of an arc-tunable Weyl Fermion metallic state in MoxW1−xTe2 journal February 2016
Topological quantum chemistry journal July 2017
Negative longitudinal magnetoresistance in Dirac and Weyl metals journal June 2015
Nontrivial superconductivity in topological MoTe 2− x S x crystals journal August 2018
Controllable synthesis and magnetotransport properties of Cd 3 As 2 Dirac semimetal nanostructures journal January 2017
Exponential protection of zero modes in Majorana islands journal March 2016
Disruption of the Accidental Dirac Semimetal State in ZrTe 5 under Hydrostatic Pressure journal May 2017
Formation enthalpies of rare earth titanate pyrochlores journal June 2004
Fault-tolerant quantum computation by anyons journal January 2003
Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries and the fractional quantum Hall effect journal April 2000
Thousands of exotic ‘topological’ materials discovered through sweeping search journal August 2018
Molecular beam epitaxy of Cd 3 As 2 on a III-V substrate journal December 2016
Majorana zero modes and topological quantum computation journal October 2015
Coexistence of Bulk Superconductivity and Charge Density Wave in Cu x ZrTe 3 journal June 2011
Magnetic-field induced multiple topological phases in pyrochlore iridates with Mott criticality journal May 2017
Thermodynamic signature of Dirac electrons across a possible topological transition in ZrTe 5 journal January 2018
Superconductivity in Weyl semimetal candidate MoTe2 journal March 2016
Negative magnetoresistance suppressed through a topological phase transition in ( Cd 1 x Zn x ) 3 As 2 thin films journal June 2018
Microstructure, growth mechanism and anisotropic resistivity of quasi-one-dimensional ZrTe5 crystal journal January 2017
The Crystal and Electronic Structures of Cd 3 As 2 , the Three-Dimensional Electronic Analogue of Graphene journal March 2014
New perspectives for Rashba spin–orbit coupling journal August 2015
Andreev bound states versus Majorana bound states in quantum dot-nanowire-superconductor hybrid structures: Trivial versus topological zero-bias conductance peaks journal August 2017

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