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Decoupling of the many-body effects from the electron mass in GaAs by means of reduced dimensionality

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Jin, Y 
Tan, WK 
Griffiths, JP 


Determining the (bare) electron mass m_0 in crystals is often hindered by many-body effects since Fermi-liquid physics renormalises the band mass, making the observed effective mass m* depend on density. Here, we use a one-dimensional (1D) geometry to amplify the effect of interactions, forcing the electrons to form a nonlinear Luttinger liquid with separate holon and spinon bands, therefore separating the interaction effects from m_0. Measuring the spectral function of gated quantum wires formed in GaAs by means of magnetotunnelling spectroscopy and interpreting them using the 1D Fermi-Hubbard model, we obtain m_0=(0.0525+/-0.0015) m_e in this material, where m_e is the free-electron mass. By varying the density in the wires, we change the interaction parameter r_s in the range from ~1-4 and show that m_0 remains constant. The determined value of m_0 is ~22% lighter than observed in GaAs in geometries of higher dimensionality D (D>1), consistent with the quasi-particle picture of a Fermi liquid that makes electrons heavier in the presence of interactions.



cond-mat.mes-hall, cond-mat.mes-hall, cond-mat.str-el

Journal Title

Physical Review B

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American Physical Society (APS)
Engineering and Physical Sciences Research Council (EP/R029075/1)
Engineering and Physical Sciences Research Council (EP/J01690X/1)
Engineering and Physical Sciences Research Council (EP/N509620/1)
Deutsche Forschungsgemeinschaft (461313466)
EPSRC (1948695)
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