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    Magnetotransport in a model of a disordered strange metal

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    Despite much theoretical effort, there is no complete theory of the 'strange' metal state of the high temperature superconductors, and its linear-in-temperature, TT, resistivity. Recent experiments showing an unexpected linear-in-field, BB, magnetoresistivity have deepened the puzzle. We propose a simple model of itinerant electrons, interacting via random couplings with electrons localized on a lattice of quantum 'dots' or 'islands'. This model is solvable in a large-NN limit, and can reproduce observed behavior. The key feature of our model is that the electrons in each quantum dot are described by a Sachdev-Ye-Kitaev model describing electrons without quasiparticle excitations. For a particular choice of the interaction between the itinerant and localized electrons, this model realizes a controlled description of a diffusive marginal-Fermi liquid (MFL) without momentum conservation, which has a linear-in-TT resistivity and a TlnTT \ln T specific heat as T0T\rightarrow 0. By tuning the strength of this interaction relative to the bandwidth of the itinerant electrons, we can additionally obtain a finite-TT crossover to a fully incoherent regime that also has a linear-in-TT resistivity. We show that the MFL regime has conductivities which scale as a function of B/TB/T; however, its magnetoresistance saturates at large BB. We then consider a macroscopically disordered sample with domains of MFLs with varying densities of electrons. Using an effective-medium approximation, we obtain a macroscopic electrical resistance that scales linearly in the magnetic field BB applied perpendicular to the plane of the sample, at large BB. The resistance also scales linearly in TT at small BB, and as Tf(B/T)T f(B/T) at intermediate BB. We consider implications for recent experiments reporting linear transverse magnetoresistance in the strange metal phases of the pnictides and cuprates.Comment: 21 pages + Appendices + References, 4 figure

    Editorial: Why Free Speech?

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    Many of us struggle to make sense of what is without doubt a deepening global socio-economic and political crisis, and at the heart of this crisis lies an unprecedented and multi-directional assault on freedom of speech. But what is free speech? How should it be exercised and to what ends? These are more difficult questions to navigate in contexts of growing divisions in society, the crises of state governabilities, people’s governmentalities and disparities in power and wealth. Debates about freedom of speech are not new; however, the form they take now seems particularly vindictive and violent. Across the world, we are witness to disturbing moves to curtail free speech in liberal democracies and totalitarian states alike and among left wing as well as right wing movements. As recent events show, free speech is the first casualty of all forms of authoritarianism including religious fundamentalism. And from this flow a range of other crackdowns on civil society and serious human rights violations that cannot be challenged. This is why the debate on freedom of speech has become increasingly urgent
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