Binding energy and triplet-singlet splitting for the hydrogen molecule in ultrahigh magnetic fields

Av, Korolev; Liberman, M. A.

doi:10.1103/physreva.45.1762

Cited by 46 publications

(21 citation statements)

References 3 publications

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“…For intermediate field strengths two studies of almost qualitative character investigate the potential energy curve (PEC) of the lowest 1 Σ g state [14,15]. A few investigations were performed in the high field limit [16][17][18][19], where the magnetic forces dominate over the Coulomb forces and therefore several approximations can be performed. Very recently a first step has been done in order to elucidate the electronic structure of the H 2 molecule for the parallel configuration, i.e.…”

Section: Introductionmentioning

confidence: 99%

Hydrogen molecule in a magnetic field: The lowest states of theΠmanifold and the global ground state of the parallel configuration

1998

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Hydrogen molecule in a magnetic field: The lowest states of the Π manifold and the global ground state of the parallel configuration The electronic structure of the hydrogen molecule in a magnetic field is investigated for parallel internuclear and magnetic field axes. The lowest states of the Π manifold are studied for spin singlet and triplet(Ms = −1) as well as gerade and ungerade parity for a broad range of field strengths 0 ≤ B ≤ 100 a.u. For both states with gerade parity we observe a monotonous decrease in the dissociation energy with increasing field strength up to B = 0.1 a.u. and metastable states with respect to the dissociation into two H atoms occur for a certain range of field strengths. For both states with ungerade parity we observe a strong increase in the dissociation energy with increasing field strength above some critical field strength Bc. As a major result we determine the transition field strengths for the crossings among the lowest

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Section: Introductionmentioning

confidence: 99%

Hydrogen molecule in a magnetic field: The lowest states of theΠmanifold and the global ground state of the parallel configuration

1998

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“…A system of these atoms may be treated as a low density gas of structureless particles with the negligible overlap of the wave functions of different atoms at the densities even when the collective effects, such as a formation of a dense molecular phase dominate in the system without a magnetic field at a low temperature. The potential of the pair interaction in a strong magnetic field is given by the solution of the problem of the hydrogen molecule [8]. Under the condition B )) 1, the mplet energy level lies much deeper than the singlet level, which means that the triplet is the ground state for the hydrogen molecule in the strong magnetic field.…”

Section: Introductionmentioning

confidence: 99%

Matter in Strong Magnetic Field: Superfluidity of a Hydrogenlike Gas

Liberman

1993

Contrib. Plasma Phys.

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As is known, so far only helium has appeared to be unique quantum liquid which does not solidify and becomes supeffluid at low temperature. The situation is dramatically changed in presence of a strong magnetic field such that the distance between the Landau levels exceeds the Coulomb unit of energy. Under the circumstances, the interaction between hydrogenlike atoms in the triplet ground state is strongly anisotropic and pretty weak. For such a Bose gas of hydrogenlike atoms, there is a possibility of forming a Bose condensate and a superfluid state. The importance of the problem is due to the fact that it arises in various areas of physics, especially in astrophysics and physics of semiconductors. In semiconductors, a high density exciton gas is the unique object for the laboratory studies of the extreme states of matter in a ultrastrong magnetic field, where the "atomic" scale of a magnetic field for the hydrogenlike excitons is of the order of a few Tesla, quite realizable in a laboratory.

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“…For intermediate field strengths two studies of almost qualitative character investigate the potential energy curve (PEC) of the lowest 1 Σ g state [21,22]. A few investigations were performed in the high field limit [23][24][25][26], where the magnetic forces dominate over the Coulomb forces and therefore several approximations can be used. Very recently a first step has been done in order to elucidate the electronic structure of the H 2 molecule for the parallel configuration, i.e.…”

Section: Introductionmentioning

confidence: 99%

Excited states of the hydrogen molecule in magnetic fields: The singletΣstates of the parallel configuration

2000

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Excited states of the hydrogen molecule subject to a homogeneous magnetic field are investigated for the parallel configuration in the complete regime of field strengths B = 0 − 100a.u.. Up to seven excitations are studied for gerade as well as ungerade spin singlet states of Σ symmetry with a high accuracy. The evolution of the potential energy curves for the individual states with increasing field strength as well as the overall behaviour of the spectrum are discussed in detail. A variety of phenomena like for example the sequence of changes for the dissociation channels of excited states and the resulting formation of outer wells are encountered. Possible applications of the obtained data to the analysis of magnetic white dwarfs are outlined.

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Binding energy and triplet-singlet splitting for the hydrogen molecule in ultrahigh magnetic fields

Cited by 46 publications

References 3 publications

Hydrogen molecule in a magnetic field: The lowest states of theΠmanifold and the global ground state of the parallel configuration

Hydrogen molecule in a magnetic field: The lowest states of theΠmanifold and the global ground state of the parallel configuration

Matter in Strong Magnetic Field: Superfluidity of a Hydrogenlike Gas

Excited states of the hydrogen molecule in magnetic fields: The singletΣstates of the parallel configuration

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