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Origin of Non-Ohmicity; Heating… Field-assisted… VRH mediated by; electron-electron… electron-phonon…

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Presentation on theme: "Origin of Non-Ohmicity; Heating… Field-assisted… VRH mediated by; electron-electron… electron-phonon…"— Presentation transcript:

1 Origin of Non-Ohmicity; Heating… Field-assisted… VRH mediated by; electron-electron… electron-phonon…

2 …microwaves - not just for cooking… f=2.5 GHz MW-on In 2 O 3-x T=4.11K; R  >1M 

3 …measuring electronic “temperature” - T* sample gate insulator the memory-dip… T (K)

4 …the memory-dip as thermometer … high frequency Field ( 2.5 MHz ) low frequency Field ( 70 Hz )

5 …How can a system absorb energy…   ≈[N(0)   ] -1 »k B T …if it has a discrete spectrum?  in (elecron-phonon)  in (elecron-electron)    in  in = inelastic-rate

6 …  G rel =  G/G(0) is NOT…  G 0 is the same for all f …and F is kept for the same time for all f G0G0 …no absorption at high f !! …absorption measured via transport...

7 f=2.5 GHz f=730 Hz … it is small in the microwaves regime...

8   in In the (2D) diffusive regime (R  3k  ) of the same system, and at the same temperature (≈4K): 4K …which  in determines the roll-off frequency ?

9 C el = electronic heat-capacity … the rate of “heat” removal…  in is due to e-ph…  (T*) = rate heat is removed from the system T* =effective temp.

10 e-e interaction …in 2D interaction does not eliminate the energy discreteness, and therefore: Conductivity and thermalization hinge on phonons ! Both  in e-e and  in e-ph are suppressed …for k B T<<   : Summary: …for 3D – see proceedings…

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