High-field impurity magneto-optics of Si:Se

Abstract

Just as phosphorus in silicon produces a hydrogenic defect, the double donor selenium in silicon is an analog of helium. We have measured the impurity absorption spectrum at high magnetic field, and we show that the odd-parity excited states of Si:Se behave identically to those of Si:P. This fact allows us to isolate the electron-electron interactions (exchange and correlation) in the ground state from the quadratic Zeeman effect. The field tuning allows us to put upper limits on the strength of some of these interactions (e.g., at 30 T the electron-electron correlation interaction in the ground state of Se is less than about 40 μeV; at 30 T the quadratic Zeeman energy in the ground state of P is less than about 200 μeV).

The quadratic Zeeman effect used for state-radius determination in neutral donors and donor bound excitons in Si:P

“…A pair of Si:P and Si:Se samples, which are fully described in [20], were used to measure their absorption spectra. The samples were mounted in the same magnet as described above.…”

Radii of Rydberg states of isolated silicon donors

“…We investigated the QZE in bulk-doped silicon with single substitutional donors Bi, Sb or P [35,36], the single interstitial donor Li, substitutional double donors S [37,38] and Se [33,39], the interstitial double donor Mg [40], and double donor complexes S 2 and Se 2 . The doping of each was in the range 1 × 10 14 −2 × 10 15 cm −3 , low enough that the distance between the donors is far larger than the orbit radius of any of the states of interest.…”

“…The envelope functions f j,μ are solutions ofĤ μ f j,μ = ε j f j,μ . In the case that a magnetic field is applied parallel to the axis of the z valley, the Hamiltonian for that valley is [14,[33][34][35][36] …”

“…ESR and tunneling spectroscopy have only been used to extract the state radius for the ground state. Extraction of ground-state dimensions from the QZE is also possible, but more assumptions are required [33,34].…”

Bonding in the helium dimer in strong magnetic fields: the role of spin and angular momentum

“…While the highest field strengths available in the laboratory are two to three orders of magnitude below B 0 [31][32][33][34], quasiparticles in semiconductors can have effective masses much below that of a bare electron and exhibit analogous effects at lower field strengths. Notably, quasiparticle analogues to perpendicular paramagnetic bonding have already been reported [35,36]. Rydberg states, which are sensitive to magnetic fields due to their diffuseness and high angular momenta [37,38], are another promising candidate for analogous effects.…”