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Spin noise of itinerant fermions

Šimon Kos, Alexander V. Balatsky, P. B. Littlewood +1 more

We develop a theory of spin-noise spectroscopy of itinerant, noninteracting, and spin-carrying fermions in different regimes of temperature and disorder. We use kinetic equations for the density matrix in spin variables. We find a general result with a clear physical interpretation, and discuss its dependence on temperature, the size of the system, and applied magnetic field. We consider two classes of experimental probes: (1) electron-spin-resonance-type measurements, in which the probe response to a uniform magnetization increases linearly with the volume sampled and (2) optical Kerr/Faraday rotation-type measurements, in which the probe response to a uniform magnetization increases linearly with the length of the light propagation in the sample but is independent of the cross section of the light beam. Our theory provides a framework for interpreting recent experiments on atomic gases and conduction electrons in semiconductors and provides a baseline for identifying the effects of interactions on spin-noise spectroscopy.We develop a theory of spin-noise spectroscopy of itinerant, noninteracting, and spin-carrying fermions in different regimes of temperature and disorder. We use kinetic equations for the density matrix in spin variables. We find a general result with a clear physical interpretation, and discuss its dependence on temperature, the size of the system, and applied magnetic field. We consider two classes of experimental probes: (1) electron-spin-resonance-type measurements, in which the probe response to a uniform magnetization increases linearly with the volume sampled and (2) optical Kerr/Faraday rotation-type measurements, in which the probe response to a uniform magnetization increases linearly with the length of the light propagation in the sample but is independent of the cross section of the light beam. Our theory provides a framework for interpreting recent experiments on atomic gases and conduction electrons in semiconductors and provides a baseline for identifying the effects of interactions on spin-noise spectroscopy.

arXiv:0911.4578Physical Review BFeb 9, 201012 citations

Quantum model of spin noise

Razieh Annabestani, David G. Cory, Joseph Emerson

arXiv:1407.7620Journal of Magnetic ResonanceJan 27, 20153 citations

Itinerant magnetism in Weyl spin-orbit coupled Fermi gas

Shang-Shun Zhang, Jinwu Ye, Wu-Ming Liu

Magnetic ordering of itinerant fermionic systems is at the forefront of condensed matter physics dating back to Stoner's instability. Spin-orbit coupling (SOC) which couples two essential ingredients of an itinerant fermionic system, namely spin and orbital motion, opens up new horizons to this long-standing problem. Here we report that the itinerant ferromagnetism is absent in 3D Fermi gas with a Weyl SOC and various itinerant spin density waves emerge instead, which is deeply rooted in the unique symmetry and spin-momentum locking effect in spin-orbit coupled systems. What is more appealing is that, the strong SOC provides a new and efficient mechanism to realize itinerant spin density waves at extremely weak repulsion---a significant benefit for present ultra-cold atom experiment. These novel phenomena can be probed by Bragg spectroscopy, time of flight imaging and {\sl In-Situ } measurements in ultra-cold atom experiment.Magnetic ordering of itinerant fermionic systems is at the forefront of condensed matter physics dating back to Stoner's instability. Spin-orbit coupling (SOC) which couples two essential ingredients of an itinerant fermionic system, namely spin and orbital motion, opens up new horizons to this long-standing problem. Here we report that the itinerant ferromagnetism is absent in 3D Fermi gas with a Weyl SOC and various itinerant spin density waves emerge instead, which is deeply rooted in the unique symmetry and spin-momentum locking effect in spin-orbit coupled systems. What is more appealing is that, the strong SOC provides a new and efficient mechanism to realize itinerant spin density waves at extremely weak repulsion---a significant benefit for present ultra-cold atom experiment. These novel phenomena can be probed by Bragg spectroscopy, time of flight imaging and {\sl In-Situ } measurements in ultra-cold atom experiment.

arXiv:1403.7031Mar 27, 20142 citations

Development of laser spectroscopy of spin noise

G. G. Kozlov, I. I. Ryzhov, Aleksei V. Kavokin +1 more

Physics-UspekhiMay 1, 20234 citations

Development of laser spectroscopy of spin noise

G. G. Kozlov, I. I. Ryzhov, Aleksei V. Kavokin +1 more

Uspekhi Fizicheskih NaukMay 1, 20232 citations

Superconductivity of itinerant electrons coupled to spin chains

Subir Sachdev A, R. Shankar

A one-dimensional model of itinerant electrons interacting with an antiferromagnetic spin-\textonehalf{} chain is introduced and solved. The model is designed to create ferromagnetic spin polarons around each itinerant electron. The model is mapped onto a sine-Gordon Hamiltonian of three massless Bose fields. A renormalization-group analysis of the bosonic theory shows that the original model possesses quasi-long-range odd-parity superconductivity and spin-density-wave order. The relevance to high-temperature and heavy-fermion superconductors is discussed.A one-dimensional model of itinerant electrons interacting with an antiferromagnetic spin-\textonehalf{} chain is introduced and solved. The model is designed to create ferromagnetic spin polarons around each itinerant electron. The model is mapped onto a sine-Gordon Hamiltonian of three massless Bose fields. A renormalization-group analysis of the bosonic theory shows that the original model possesses quasi-long-range odd-parity superconductivity and spin-density-wave order. The relevance to high-temperature and heavy-fermion superconductors is discussed.

Physical review. B, Condensed matterJul 1, 198819 citations

Theory of spin noise spectroscopy of itinerant fermions

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