Goldstone-Mode Relaxation in a Quantized Hall Ferromagnet

Dickmann, S.

doi:10.1103/physrevlett.93.206804

Cited by 23 publications

(63 citation statements)

References 15 publications

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“…The temperature is again assumed to be negligible. Being of the same order or even smaller than the uncertainty value determined by the external smooth disorder field [14] it is, in particular, well smaller than the Zeeman gap ǫ Z . The initial state |i is thus the Goldstone condensate containing N zero spin excitons: |i = |{M}; N .…”

mentioning

confidence: 93%

“…As far as the SO coupling does not perturb the translation symmetry, the GM relaxation needs additional perturbative interactions providing the momentum and energy dissipation. These in fact are the electron-phonon coupling [13] or interaction with the smooth random potential [14].…”

mentioning

confidence: 99%

“…For the second type, the GM breakdown was theoretically analyzed in the works of Refs. [13] and [14]. (See also Ref.…”

mentioning

confidence: 99%

“…For the final calculation I only need the sum A In order to describe the QHF states, I use again the excitonic representation by analogy with previous works [7,[11][12][13][14]. Namely, by defining the spin exciton creation operator [21]:…”

mentioning

confidence: 99%

“…[13] and [14], now the considered initial deviation is again of the second type, i.e. starting point is the GM state |i = Ŝ − N |0 , where |0 stands for the QHF ground state, andŜ − = jσ…”

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confidence: 99%

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Goldstone mode relaxation in a quantum hall ferromagnet due to hyperfine interaction with nuclei

Dickmann

2011

Jetp Lett.

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Spin relaxation in quantum Hall ferromagnet regimes is studied. As the initial non-equilibrium state, a coherent deviation of the spin system from the B direction is considered and the breakdown of this Goldstone-mode state due to hyperfine coupling to nuclei is analyzed. The relaxation occurring non-exponentially with time is studied in terms of annihilation processes in the "Goldstone condensate" formed by "zero spin excitons". The relaxation rate is calculated analytically even if the initial deviation is not small. This relaxation channel competes with the relaxation mechanisms due to spin-orbit coupling, and at strong magnetic fields it becomes experiments and semi-phenomenological theories show that at some fractional fillings, namely at ν = 1/3, 1/5, ..., electrons in the ground state occupy only one spin sublevel, and thereby the fractional QHF state is also realized [2][3][4][5][6]. The QHF possesses a macroscopically large spin S oriented in the direction of the field B due to negative g-factor in GaAs structures. In the following all calculations are carried out in the form applicable to both odd-integer filling ν = 2k +1 and fractional QHF. This generalization on the ν < 1 case is done in compliance with the well known semi-phenomenological description of the fractional QHF [2,3] and, in particular, was already used in Ref. [7].Obviously, there are two different types of initial deviation of the large spin S from its equilibrium position. The first type represents the case where vector S is changed in length but its direction is not altered. Then the QHF symmetry is the same as in the equilibrium state. Analysis reveals that this type of initial perturbation is microscopically described by

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confidence: 93%

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confidence: 99%

“…For the second type, the GM breakdown was theoretically analyzed in the works of Refs. [13] and [14]. (See also Ref.…”

mentioning

confidence: 99%

mentioning

confidence: 99%

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confidence: 99%

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Goldstone mode relaxation in a quantum hall ferromagnet due to hyperfine interaction with nuclei

Dickmann

2011

Jetp Lett.

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Time, momentum, and energy resolved pump-probe tunneling spectroscopy of two-dimensional electron systems

Yoo,

Korkusinski,

Miravet

et al. 2023

Nat Commun

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Real-time probing of electrons can uncover intricate relaxation mechanisms and many-body interactions in strongly correlated materials. Here, we introduce time, momentum, and energy resolved pump-probe tunneling spectroscopy (Tr-MERTS). The method allows the injection of electrons at a particular energy and observation of their subsequent decay in energy-momentum space. Using Tr-MERTS, we visualize electronic decay processes, with lifetimes from tens of nanoseconds to tens of microseconds, in Landau levels formed in a GaAs quantum well. Although most observed features agree with simple energy-relaxation, we discovered a splitting in the nonequilibrium energy spectrum in the vicinity of a ferromagnetic state. An exact diagonalization study suggests that the splitting arises from a maximally spin-polarized state with higher energy than a conventional equilibrium skyrmion. Furthermore, we observe time-dependent relaxation of the splitting, which we attribute to single-flipped spins forming skyrmions. These results establish Tr-MERTS as a powerful tool for studying the properties of a 2DES beyond equilibrium.

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Highly polarized emission from electrical spin injection into an InGaAs quantum well with free carriers

Κιοσέογλου

Petrou

et al. 2013

Applied Physics Letters

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Goldstone-Mode Relaxation in a Quantized Hall Ferromagnet

Cited by 23 publications

References 15 publications

Goldstone mode relaxation in a quantum hall ferromagnet due to hyperfine interaction with nuclei

Goldstone mode relaxation in a quantum hall ferromagnet due to hyperfine interaction with nuclei

Time, momentum, and energy resolved pump-probe tunneling spectroscopy of two-dimensional electron systems

Highly polarized emission from electrical spin injection into an InGaAs quantum well with free carriers

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