Quantum magnetism in metals

Metallic systems can undergo quantum transitions involving the onset of magnetic order. In addition to the usual collective magnetic modes, the critical theory of the transition may have to include the gapless fermionic excitations across the Fermi surface.

Transitions involving the onset of a spin polarization which oscillates at a non-zero wavevector are considered in papers 1, 3, 4. In paper 1 we discuss a case for which the Fermi surface excitation are relatively unimportant, and transition is similar to that in an insulator with dynamic exponent z=1. Paper 3 consider the case where the Fermi surface excitations are important, and describes the crossover from z=1 to Fermi surface-like z=2 quantum criticality; paper 4 argues that such a crossover is likely to occur for a metal that is in the vicinity of a Mott insulating state.

Some issues related to the onset of ferromagnetism in a metallic state are considered in paper 2.

The onset of spin glass order in metals is considered in papers 5, 6, 7, and discussed further in a separate category.


  1. Quantum phases of the Shraiman-Siggia model, S. Sachdev, Physical Review B 49, 6770 (1994); cond-mat/9311037.
  2. Quantum phase transitions and conserved charges, S. Sachdev, Zeitschrift fur Physik B 94, 469 (1994); cond-mat/9312018.
  3. Crossover and scaling in a nearly antiferromagnetic Fermi liquid in two dimensions, S. Sachdev, A.V. Chubukov, and A. Sokol, Physical Review B 51, 14874 (1995); cond-mat/9411066.
  4. Charge and spin density wave ordering transitions in strongly correlated metals, S. Sachdev and A. Georges, Physical Review B 52, 9520 (1995); cond-mat/9503158.
  5. Quantum field theory of metallic spin glasses, S. Sachdev, N. Read, and R. Oppermann, Physical Review B 52, 10286 (1995); cond-mat/9504036.
  6. Metallic spin glasses, S. Sachdev and N. Read, Journal of Physics: Condensed Matter 8, 9723 (1996); cond-mat/9609153.
  7. Magnetic properties of strongly disordered electronic systems, S. Sachdev, Royal Society Discussion Meeting on The Metal-Non Metal Transition in Macroscopic and Microscopic Systems, Philosophical Transactions of the Royal Society of London, Series A 356, 173 (1998); cond-mat/9705074.
  8. Quantum spin glass transition in the two dimensional electron gas, S. Sachdev, Pramana 58, 285 (2002); cond-mat/0109309.
  9. Nernst effect in the electron-doped cuprates, A. Hackl and S. Sachdev, Physical Review B 79, 235124 (2009); arXiv:0901.2348.
  10. Fluctuating spin density waves in metals, S. Sachdev, M. A. Metlitski, Y. Qi, and C. Xu, Physical Review B 80, 155129 (2009); arXiv:0907.3732.
  11. Quasiparticle Nernst eff ect in stripe-ordered cuprates, A. Hackl, M. Vojta and S. Sachdev, Physical Review B 81, 045102 (2010); arXiv:0908.1088. (Subject qmm)