Built on

R. W. Zwanzig. “Statistical mechanics of irreversibility”, in Lectures on Theoretical Physics Volume 3 , 139 (Interscience, 1961)
1961
Earlier work this paper cites.
L. P. Kadanoff and P. C. Martin. “Hydrodynamic equations and correlation functions”, Annals of Physics
1963
Earlier work this paper cites.
H. Mori. “A continued-fraction representation of the time-correlation functions”, Progress of Theoretical Physics
1965
Earlier work this paper cites.
D. Pines and P. Nozières. The Theory of Quantum Liquids, Volume I (W. A. Benjamin, 1966)
1966
Earlier work this paper cites.
D. Forster. Hydrodynamic Fluctuations, Broken Symmetry and Correlation Functions (Perseus Books, 1975)
1975
Earlier work this paper cites.
T. R. Chien, Z. Z. Wang and N. P. Ong. “Effect of Zn impurities on the normal-state Hall angle in single-crystal YBa 2 Cu 3 − x Zn x O 7 − δ \mathrm{YBa}_{2}\mathrm{Cu}_{3-x}\mathrm{Zn}_{x}\mathrm{O}_{7-\delta} ”, Physical Review Letters
1991
Earlier work this paper cites.
P. W. Anderson. “Hall effect in a two-dimensional Luttinger Liquid”, Physical Review Letters
1991
Earlier work this paper cites.
S. A. Hartnoll, P. K. Kovtun, M. Müller and S. Sachdev. “Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes”, Physical Review
Original
2007
Earlier work this paper cites.
P. Jung and A. Rosch. “Lower bounds for the conductivities of correlated quantum systems”, Physical Review
Original
2007
Earlier work this paper cites.
P. Bokes, J. Jung, R. W. Godby, “Ab-initio formulation of the 4-point conductance of interacting electronic systems”, Physical Review
Original
2007
Earlier work this paper cites.

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2015

Memory matrix theory of magnetotransport in strange metals

Lucas, Andrew, Sachdev, Subir

Understand

We model strange metals as quantum liquids without quasiparticle excitations, but with slow momentum relaxation, and with slow diffusive dynamics of a conserved charge and energy.

General expressions are obtained for electrical, thermal and thermoelectric transport in the presence of an applied magnetic field using the memory matrix formalism.
In the appropriate limits, our expressions agree with previous hydrodynamic and holographic results.
We discuss the relationship of such results to thermoelectric and Hall transport measurements in the strange metal phase of the hole-doped cuprates.

Built on

R. W. Zwanzig. “Statistical mechanics of irreversibility”, in Lectures on Theoretical Physics Volume 3 , 139 (Interscience, 1961)
1961
Earlier work this paper cites.
L. P. Kadanoff and P. C. Martin. “Hydrodynamic equations and correlation functions”, Annals of Physics
1963
Earlier work this paper cites.
H. Mori. “A continued-fraction representation of the time-correlation functions”, Progress of Theoretical Physics
1965
Earlier work this paper cites.
D. Pines and P. Nozières. The Theory of Quantum Liquids, Volume I (W. A. Benjamin, 1966)
1966
Earlier work this paper cites.
D. Forster. Hydrodynamic Fluctuations, Broken Symmetry and Correlation Functions (Perseus Books, 1975)
1975
Earlier work this paper cites.
T. R. Chien, Z. Z. Wang and N. P. Ong. “Effect of Zn impurities on the normal-state Hall angle in single-crystal YBa 2 Cu 3 − x Zn x O 7 − δ \mathrm{YBa}_{2}\mathrm{Cu}_{3-x}\mathrm{Zn}_{x}\mathrm{O}_{7-\delta} ”, Physical Review Letters
1991
Earlier work this paper cites.
P. W. Anderson. “Hall effect in a two-dimensional Luttinger Liquid”, Physical Review Letters
1991
Earlier work this paper cites.
S. A. Hartnoll, P. K. Kovtun, M. Müller and S. Sachdev. “Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes”, Physical Review
Original
2007
Earlier work this paper cites.
P. Jung and A. Rosch. “Lower bounds for the conductivities of correlated quantum systems”, Physical Review
Original
2007
Earlier work this paper cites.
P. Bokes, J. Jung, R. W. Godby, “Ab-initio formulation of the 4-point conductance of interacting electronic systems”, Physical Review
Original
2007
Earlier work this paper cites.