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Silicon spin qubits are marred by the valley degeneracy of the conduction band. In a nanodevice, the degeneracy is lifted by interfaces and alloy disorder, but the arising valley splitting is small, of order 100 $\mu$eV in Si/SiGe quantum…

Mesoscale and Nanoscale Physics · Physics 2026-03-23 Lukas Cvitkovich , Peter Stano , Dominique Bougeard , Yann-Michel Niquet , Daniel Loss

Effect of electric field on spin splitting in SiGe quantum wells (QWs) has been studied theoretically. Microscopical calculations of valley and spin splittings are performed in the effective $sp^3d^5s^*$ tight-binding model. The splittings…

Mesoscale and Nanoscale Physics · Physics 2008-10-07 M. O. Nestoklon , E. L. Ivchenko , J. -M. Jancu , P. Voisin

Silicon has many attractive properties for quantum computing, and the quantum dot architecture is appealing because of its controllability and scalability. However, the multiple valleys in the silicon conduction band are potentially a…

We present the theory and measurement of valley splitting in a quantum point contact (QPC) in a modulation doped Si/SiGe heterostructure. Our measurements are performed on a submicron Schottky-gated device. An effective mass theory is…

Mesoscale and Nanoscale Physics · Physics 2010-03-30 L. M. McGuire , Mark Friesen , K. A. Slinker , S. N. Coppersmith , M. A. Eriksson

Si/SiGe heterostructures on bulk Si substrates have been shown to host high fidelity electron spin qubits. Building a scalable quantum processor would, however, benefit from further improvement of critical material properties such as the…

Mesoscale and Nanoscale Physics · Physics 2026-01-29 Lucas Marcogliese , Ouviyan Sabapathy , Rudolf Richter , Jhih-Sian Tu , Dominique Bougeard , Lars R. Schreiber

The presence of low-energy valley excitations in Si/SiGe heterostructures often causes spin qubits to fail. It is therefore important to develop robust protocols for characterizing the valley coupling. Here, we show that realistically sized…

Mesoscale and Nanoscale Physics · Physics 2025-07-08 Benjamin D. Woods , Merritt P. Losert , Nasir R. Elston , M. A. Eriksson , S. N. Coppersmith , Robert Joynt , Mark Friesen

We show that Ge concentration oscillations within the quantum well region of a Si/SiGe heterostructure can significantly enhance the spin-orbit coupling of the low-energy conduction-band valleys. Specifically, we find that for Ge…

Mesoscale and Nanoscale Physics · Physics 2023-01-23 Benjamin D. Woods , M. A. Eriksson , Robert Joynt , Mark Friesen

Engineering conduction-band valley couplings is a key challenge for Si-based spin qubits. Recent work has shown that the most reliable method for enhancing valley couplings entails adding Ge concentration oscillations to the quantum well.…

Mesoscale and Nanoscale Physics · Physics 2024-06-03 Benjamin D. Woods , Hudaiba Soomro , E. S. Joseph , Collin C. D. Frink , Robert Joynt , M. A. Eriksson , Mark Friesen

The performance and scalability of silicon spin qubits depend directly on the value of the conduction band valley splitting. In this work, we investigate the influence of electromagnetic fields and the interface width on the valley…

Mesoscale and Nanoscale Physics · Physics 2024-05-07 Jonas R. F. Lima , Guido Burkard

We theoretically investigate the properties of holes in a Si$_{x}$Ge$_{1-x}$/Ge/ Si$_{x}$Ge$_{1-x}$ quantum well in a perpendicular magnetic field that make them advantageous as qubits, including a large ($>$100~meV) intrinsic splitting…

The valley splitting in Si two-dimensional electron systems is studied using Si/SiGe single quantum wells (QWs) with different well widths. The energy gaps for 4 and 5.3 nm QWs, obtained from the temperature dependence of the longitudinal…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Kohei Sasaki , Ryuichi Masutomi , Kiyohiko Toyama , Kentarou Sawano , Yasuhiro Shiraki , Tohru Okamoto

A theory based on localized-orbital approaches is developed to describe the valley splitting observed in silicon quantum wells. The theory is appropriate in the limit of low electron density and relevant for proposed quantum computing…

Electronic spins in Silicon (Si) are rising contenders for qubits -- the logical unit of quantum computation-- owing to its outstanding spin coherence properties and compatibility to standard electronics. A remarkable limitation for spin…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Lijun Zhang , Jun-Wei Luo , A. L. Saraiva , Belita Koiller , Alex Zunger

Si/SiGe quantum wells that incorporate Ge concentration oscillations, known as long-period Wiggle Wells, have previously been shown to enhance the Dresselhaus spin-orbit coupling (SOC) of conduction-band electrons. Such intrinsic SOC is…

Mesoscale and Nanoscale Physics · Physics 2026-05-26 Hudaiba Soomro , Minyoung Kim , Avani Vivrekar , M. A. Eriksson , Benjamin D. Woods , Mark Friesen

Germanium (Ge) quantum wells are emerging as versatile platforms for quantum devices, supporting high-quality spin qubits and integration with superconducting leads. These applications benefit from strong intrinsic spin-orbit interaction…

Mesoscale and Nanoscale Physics · Physics 2026-04-24 Patrick Del Vecchio , Kevin Rossi , Giordano Scappucci , Stefano Bosco

The electrical characterisation of classical and quantum devices is a critical step in the development cycle of heterogeneous material stacks for semiconductor spin qubits. In the case of silicon, properties such as disorder and energy…

Strong spin-orbit coupling and relatively weak hyperfine interactions make germanium hole spin qubits a promising candidate for semiconductor quantum processors. The two-dimensional hole gas structure of strained Ge quantum wells serves as…

Mesoscale and Nanoscale Physics · Physics 2024-10-02 Zhenzhen Kong , Zonghu Li , Yuchen Zhou , Gang Cao , Hai-Ou Li , Jiale Su , Yiwen Zhang , Jinbiao Liu , Guo-Ping Guo , Junfeng Li , Jun Luo , Chao Zhao , Tianchun Ye , Guilei Wang

We determine the energy splitting of the conduction-band valleys in two-dimensional electrons confined to low-disorder Si quantum wells. We probe the valley splitting dependence on both perpendicular magnetic field $B$ and Hall density by…

Spins in SiGe quantum dots are promising candidates for quantum bits but are also challenging due to the valley degeneracy which could potentially cause spin decoherence and weak spin-orbital coupling. In this work we demonstrate that…

Mesoscale and Nanoscale Physics · Physics 2021-08-25 Y. -Y. Liu , L. A. Orona , Samuel F. Neyens , E. R. MacQuarrie , M. A. Eriksson , A. Yacoby

Silicon quantum dot qubits must contend with low-lying valley excited states which are sensitive functions of the quantum well heterostructure and disorder; quantifying and maximizing the energies of these states are critical to improving…