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

Title: Spin-related phenomena in spin 3/2 charge carrier holes systems

Journal Article · · Solid State Communications

Charge carrier holes provide a remarkable system for spintronics and quantum information technology. In this review paper, I discuss spin-related phenomena in three-dimensional and low-dimensional hole systems. Special attention is paid to the mutual transformation of heavy and light holes at the boundary of quantum wells and wires that governs values of parameters defining hole spectra in quantum wells, wires and dots, such as effective masses, g-factors and Rashba and Dresselhaus spin–orbit constants. Recently, topological phenomena in condensed matter systems, such as emergence of Majorana zero modes and non-Abelian phases in the fractional quantum Hall effect, sparked considerable interest of researchers. Charge carrier holes turn out to be a remarkable setting for possible observation of these phenomena and advancing topological quantum computing. I discuss the spectra and wavefunctions of two-dimensional holes in magnetic field. While there is a semiclassical range of parameters when heavy and light holes can be described by equidistant Landau levels, ground-level holes and holes in a few low-lying excited states behave as species completely different from electrons. Especially interesting are crossings in hole spectra in magnetic field. Hole–hole interactions can substantially differ from electron–electron interactions. Apart from the difference in exchange splitting, this shows in possible emergence of even denominator fractional quantum Hall state in the ground hole level in magnetic field. I also briefly discuss spintronic phenomena, such as mutual transformation of angular momentum (spin) of holes and electric current, as well as spin-related interference effects in hole transport. Recent developments in a system of Ge hole quantum dots offer new perspectives for hole-based systems.

Research Organization:
Purdue Univ., West Lafayette, IN (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division (MSE)
Grant/Contract Number:
SC0010544
OSTI ID:
1961029
Alternate ID(s):
OSTI ID: 1977670
Journal Information:
Solid State Communications, Journal Name: Solid State Communications Vol. 352 Journal Issue: C; ISSN 0038-1098
Publisher:
ElsevierCopyright Statement
Country of Publication:
United Kingdom
Language:
English

References (88)

Aharonov-Bohm Oscillations in the Presence of Strong Spin-Orbit Interactions journal October 2007
Topological transitions in Berry’s phase interference effects journal August 1993
Energy Structure and Quantized Hall Effect of Two-Dimensional Holes journal July 1983
Charge carrier holes and Majorana fermions journal May 2017
Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures journal August 2010
Fractional Quantization of the Hall Effect: A Hierarchy of Incompressible Quantum Fluid States journal August 1983
Hole-Doped Semiconductor Nanowire on Top of an s -Wave Superconductor: A New and Experimentally Accessible System for Majorana Fermions journal April 2012
Intrinsic Spin Hall Effect in the Two-Dimensional Hole Gas journal June 2005
Exact results for interacting electrons in high Landau levels journal August 1996
Helical Liquids and Majorana Bound States in Quantum Wires journal October 2010
Quantum Interference and Electron-Electron Interactions at Strong Spin-Orbit Coupling in Disordered Systems journal May 1998
Ge/Si nanowire mesoscopic Josephson junctions journal December 2006
Andreev reflection and pair-breaking effects at the superconductor/magnetic semiconductor interface journal August 2005
Induced superconductivity in the quantum spin Hall edge journal August 2014
Quantum Theory of Cyclotron Resonance in Semiconductors: General Theory journal May 1956
In-Plane Magnetic Field-Induced Spin Polarization and Transition to Insulating Behavior in Two-Dimensional Hole Systems journal March 2001
New directions in the pursuit of Majorana fermions in solid state systems journal June 2012
Effect of Strain on Stripe Phases in the Quantum Hall Regime journal January 2011
Spin-orbit splitting of valence subbands in semiconductor nanostructures journal February 2014
Spontaneous Spin Polarization in Quantum Point Contacts journal April 2006
Landau-Level Mixing and the Emergence of Pfaffian Excitations for the 5 / 2 Fractional Quantum Hall Effect journal August 2010
Topological Entanglement Entropy journal March 2006
Weak antilocalization and spin precession in quantum wells journal February 1996
Generic New Platform for Topological Quantum Computation Using Semiconductor Heterostructures journal January 2010
Particle-Hole Symmetry and the Pfaffian State journal December 2007
Making Nonmagnetic Semiconductors Ferromagnetic journal August 1998
Non-Abelian gauge structure in nuclear quadrupole resonance journal July 1988
Non-Abelian statistics and topological quantum information processing in 1D wire networks journal February 2011
Weak localization in Ga 1 x Mn x As : Evidence of impurity band transport journal October 2007
Two-dimensional electron liquid in a weak magnetic field journal October 1995
Evidence for reversible control of magnetization in a ferromagnetic material by means of spin–orbit magnetic field journal August 2009
Charge Density Wave in Two-Dimensional Electron Liquid in Weak Magnetic Field journal January 1996
Quantum beating in ring conductance: Observation of spin chiral states and Berry's phase journal June 2004
Spin Relaxation and Decoherence of Holes in Quantum Dots journal August 2005
Enhancement of proximity-induced superconductivity in a planar Ge hole gas journal April 2021
Nonabelions in the fractional quantum hall effect journal August 1991
Anomalous Hall effect journal May 2010
Spin-orbital band splitting in symmetric quantum wells journal May 1988
Measuring hole g -factor anisotropies using transverse magnetic focusing journal February 2019
Domain Walls and Conductivity of Mesoscopic Ferromagnets journal October 1998
Manifestation of a non-Abelian Berry phase in ap-type semiconductor system journal May 2016
Energy Band Structures in Semiconductors journal April 1950
Weak localization inAl0.5Ga0.5As/GaAsp-type quantum wells journal August 1999
Search for Majorana Fermions in Multiband Semiconducting Nanowires journal March 2011
Majorana fermions in semiconductor nanowires journal October 2011
Observation of a one-dimensional spin–orbit gap in a quantum wire journal March 2010
Fractional quantum hall effect and electron correlations in partially filled first excited Landau level journal October 2008
Nonlinear Quantum Electrodynamics in Dirac Materials journal February 2022
Comparison of the density-matrix renormalization group method applied to fractional quantum Hall systems in different geometries journal June 2012
Interaction Effects in Disordered Fermi Systems in Two Dimensions journal May 1980
Spin-galvanic effect journal May 2002
A four-qubit germanium quantum processor journal March 2021
Magnetic field spectral crossings of Luttinger holes in quantum wells journal November 2014
Spin-orbit splitting and effective masses in p -type GaAs two-dimensional hole gases journal February 2014
Spin Current and Polarization in Impure Two-Dimensional Electron Systems with Spin-Orbit Coupling journal November 2004
Electric-field control of ferromagnetism journal December 2000
Signatures of Majorana Fermions in Hybrid Superconductor-Semiconductor Nanowire Devices journal April 2012
Spin-Orbit Interaction and Magnetoresistance in the Two Dimensional Random System journal February 1980
Al–Ge–Al Nanowire Heterostructure: From Single‐Hole Quantum Dot to Josephson Effect journal August 2021
Spin Separation in Cyclotron Motion journal September 2004
Anomalous Rashba spin splitting in two-dimensional hole systems journal March 2002
Effect of Inversion Symmetry on the Band Structure of Semiconductor Heterostructures journal December 1984
Bipartite entanglement entropy in fractional quantum Hall states journal September 2007
Cyclotron resonance of carbon-doped two-dimensional hole systems: From the magnetic quantum limit to low magnetic fields journal March 2009
Fine Structure of Excitons inInAs/GaAsCoupled Quantum Dots: A Sensitive Test of Electronic Coupling journal February 2003
Experimental and materials considerations for the topological superconducting state in electron- and hole-doped semiconductors: Searching for non-Abelian Majorana modes in 1D nanowires and 2D heterostructures journal February 2012
Non-Abelian anyons and topological quantum computation journal September 2008
Topological Entanglement Entropy from the Holographic Partition Function journal January 2007
Generating a Topological Anomalous Hall Effect in a Nonmagnetic Conductor: An In-Plane Magnetic Field as a Direct Probe of the Berry Curvature journal June 2021
Weak localization in semiconductor structures with strong spin-orbit coupling journal April 1998
Fault-tolerant quantum computation by anyons journal January 2003
Superconducting Proximity Effect and Majorana Fermions at the Surface of a Topological Insulator journal March 2008
Non-Abelian ν = 1 2 quantum Hall state in Γ 8 valence band hole liquid journal April 2017
Spin splitting in GaAs (100) two-dimensional holes journal March 2004
The fractional a.c. Josephson effect in a semiconductor–superconductor nanowire as a signature of Majorana particles journal September 2012
Two-dimensional electron density of states in a transverse magnetic field journal January 1988
Zeeman Splitting in Ballistic Hole Quantum Wires journal July 2006
Gate-Controlled Spin-Orbit Quantum Interference Effects in Lateral Transport journal February 2003
Ground state of a two-dimensional electron liquid in a weak magnetic field journal July 1996
Universal Intrinsic Spin Hall Effect journal March 2004
Phase diagram and edge states of the ν = 5 / 2 fractional quantum Hall state with Landau level mixing and finite well thickness journal May 2015
Exciton fine structure in coupled quantum dots journal April 2004
Non-Abelian quantum order in spin-orbit-coupled semiconductors: Search for topological Majorana particles in solid-state systems journal December 2010
Non-Abelian geometric phases and conductance of spin- 3 2 holes journal May 1998
Edge-mode superconductivity in a two-dimensional topological insulator journal May 2015
All-electric qubit control in heavy hole quantum dots via non-Abelian geometric phases journal May 2012
(Ga,Mn)As: A new diluted magnetic semiconductor based on GaAs journal July 1996
Spin-orbit Berry phase in conducting rings journal January 1993