Electrical resistivity near Pomeranchuk instability in two dimensions
Luca Dell'Anna1, Walter Metzner
1Max-Planck-Institute for Solid State Research, D-70569 Stuttgart, Germany.
Physical Review Letters
|May 16, 2007
Summary
We studied charge transport near a quantum critical point. Resistivity is proportional to T(3/2) in pure systems and approaches residual resistance linearly with temperature in impure systems.
Area of Science:
- Condensed matter physics
- Quantum criticality
Background:
- Pomeranchuk instability describes a quantum critical point in two-dimensional electron systems.
- Understanding charge transport is crucial for characterizing quantum critical states.
Purpose of the Study:
- Analyze DC charge transport in the quantum critical regime near a d-wave Pomeranchuk instability.
- Investigate the temperature dependence of resistivity and impurity effects.
Main Methods:
- Theoretical analysis of DC charge transport.
- Examination of the transport decay rate across the Fermi surface.
- Low-temperature limit analysis for pure and impure systems.
Main Results:
- Transport decay rate is linear in temperature on the Fermi surface, except at specific cold spots.
- DC resistivity is proportional to T(3/2) in the low-temperature limit for pure systems.
- Residual impurity resistance at T=0 is approached linearly at low temperatures in impure systems.
Conclusions:
- The study reveals unique transport properties near a d-wave Pomeranchuk instability.
- Temperature dependence of resistivity is strongly influenced by system purity.
- Impurities play a significant role in residual resistance at low temperatures.
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