Lattice structures of Fulde-Ferrell-Larkin-Ovchinnikov state

Jiang, Longhua; Ye, Jinwu

doi:10.1103/physrevb.76.184104

Cited by 17 publications

(25 citation statements)

References 20 publications

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“…It was shown [38] that the interaction u term in Eq.17 favors a stripe state, which is confirmed here by the calculations at the RPA level. When δ L > 0, it is in the PM state where φ L = 0.…”

Section: Quantum Lifshitz Transition From the Paramagnet To Lsdw supporting

confidence: 76%

“…When δ L > 0, it is in the PM state where φ L = 0. When δ L < 0, it is in the stripe [38] LSDW state where φ L = φ 0 cos(Q L z + θ). This is also a first order quantum Lifshitz type of transition [39].…”

Section: Quantum Lifshitz Transition From the Paramagnet To Lsdw mentioning

confidence: 99%

“…When δ T− < 0, it is in the stripe SSDW state where φ − = φ 0 e −i(QT z+θ) . It is a first order quantum Lifshitz type of transition [38][39][40][41][42], so the dynamic exponent z can not be defined. This is in sharp contrast to the second order transition with the z = 3 (FM) or z = 2 (AFM) in the Hertz-Millis action Eqn.B1 to describe magnetic phase transitions in itinerant electron systems without SOC.…”

Section: Quantum Lifshitz Transition From the Paramagnet To Ssdw Tmentioning

confidence: 99%

“…This maybe the first quantum Lifshitz transition in any itinerant Fermi systems. Similar types of bosonic Lifshitz transition exist in various condensed matter systems such as the superfluid 4 He [40], exciton superfluids in bilayer quantum Hall or electron-hole bilayer [41] and superconductor in a Zeeman field [38,42]. We analyze the symmetry breaking pattern of the SSDW and work out its one gapless spinlattice coupled Goldstone mode.…”

Section: Introductionmentioning

confidence: 99%

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Itinerant magnetic phases and quantum Lifshitz transitions in a three-dimensional repulsively interacting Fermi gas with spin-orbit coupling

Zhang

Liu

2016

Phys. Rev. B

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Magnetic phenomena in itinerant electron systems has been at the forefront in material science. Here we show that the Weyl spin-orbit couplings (SOC) in 3 dimensional repulsively interacting itinerant Fermi systems opens up a platform to host new itinerant magnetic phases, excitations and phase transitions. A putative Ferromagnetic state (FM) is always unstable against a stripe Spiral spin density wave (S-SDW) or a stripe Longitudinal-SDW at small or large SOC strengths respectively. The stripe ordering wavevector is given by the nesting momentum of the two SOC split Fermi surfaces with the same or opposite helicities at small or large SOC strengths respectively. The LSDW is accompanied by a charge density wave (CDW) with half of its pitch. The transition from the paramagnet to the SSDW or LSDW+CDW is described by quantum Lifshitz type actions, in sharp contrast to the Hertz-Millis types for itinerant electron systems without SOC. The collective excitations and FS re-constructions inside the SSDW and LSDW+CDW are also studied. The effects of a harmonic trap in cold atom experiments are briefly discussed. In view of recent groundbreaking experimental advances in generating 2d SOC in cold atoms, these phenomena can be observed in current or near future cold atom experiments even at very weak interactions. They may also be relevant to some itinerant magnetic materials with a strong SOC.

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Section: Quantum Lifshitz Transition From the Paramagnet To Lsdw supporting

confidence: 76%

Section: Quantum Lifshitz Transition From the Paramagnet To Lsdw mentioning

confidence: 99%

Section: Quantum Lifshitz Transition From the Paramagnet To Ssdw Tmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Itinerant magnetic phases and quantum Lifshitz transitions in a three-dimensional repulsively interacting Fermi gas with spin-orbit coupling

Zhang

Liu

2016

Phys. Rev. B

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“…As the pressure increases, the roton minimum drops and signals a first order transition to a solid order (or a putative supersolid order). Similarly, the roton dropping in a 3d superconductor subject to a Zeeman field signals a transition from a normal state to the FFLO state [59][60][61]. In 3d, the roton sphere is a 2d continuous manifold, so its dropping before touching zero signals a first order transition.…”

Section: Conclusion and Perspectives On Moving Away From The Solmentioning

confidence: 99%

Quantum magnetism of spinor bosons in optical lattices with synthetic non-Abelian gauge fields

2015

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We study quantum magnetism of interacting spinor bosons at integer fillings hopping in a square lattice in the presence of of non-Abelian gauge fields. In the strong coupling limit, it leads to the Rotated ferromagnetic Heisenberg model (RFHM) which is a new class of quantum spin model. We introduce Wilson loops to characterize frustrations and gauge equivalent classes. For a special equivalent class, we identify a new spin-orbital entangled commensurate ground state. It supports not only commensurate magnons, but also a new gapped elementary excitation: in-commensurate magnons with two gap minima continuously tuned by the SOC strength. At low temperatures, these magnons lead to dramatic effects in many physical quantities such as density of states, specific heat, magnetization, uniform susceptibility, staggered susceptibility and various spin correlation functions. The commensurate magnons lead to a pinned central peak in the angle resolved light or atom Bragg spectroscopy. However, the in-commensurate magnons split it into two located at their two gap minima. At high temperatures, the transverse spin structure factors depend on the SOC strength explicitly. The whole set of Wilson loops can be mapped out by measuring the specific heat at the corresponding orders in the high temperature expansion. We argue that one gauge may be realized in current experiments and other gauges may also be realized in near future experiments. The results achieved along the exact solvable line sets up the stage to investigate dramatic effects when tuning away from it by various means. We sketch the crucial roles to be played by these magnons at other equivalent classes, with spin anisotropic interactions and in the presence of finite magnetic fields. Various experimental detections of these new phenomena are discussed. Rotated Anti-ferromagnetic Heisenberg model are also briefly mentioned.

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Quantum Phases of Excitons and Their Detections in Electron-Hole Semiconductor Bilayer Systems

2009

J Low Temp Phys

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We construct a quantum Ginsburg-Landau theory to study the quantum phases and transitions in electron hole bilayer system. We propose that in the dilute limit as distance is increased, there is a first order transition from the excitonic superfluid (ESF ) to the excitonic supersolid (ESS) driven by the collapsing of a roton minimum, then a 2nd order transition from the ESS to excitonic normal solid. We show the latter transition is in the same universality class of superfluid to Mott transition in a rigid lattice. We then study novel elementary low energy excitations inside the ESS. We find that there are two "supersolidon " longitudinal modes ( one upper branch and one lower branch ) inside the ESS, while the transverse mode in the ESS stays the same as that inside a ENS. We also work out various experimental signatures of these novel elementary excitations by evaluating the Debye-Waller factor, density-density correlation, specific heat and vortex -vertex interactions. For the meta-stable supersolid generated by photon pumping, we show that the angle resolved spectrum is dominated by the macroscopic super-radiance from its superfluid component, even it is just a very small percentage of the the whole system. This fact can be used to detect the metastable ESS state generated by photon pumping by a power spectrum experiment easily and without any ambiguity.I.

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Lattice structures of Fulde-Ferrell-Larkin-Ovchinnikov state

Cited by 17 publications

References 20 publications

Itinerant magnetic phases and quantum Lifshitz transitions in a three-dimensional repulsively interacting Fermi gas with spin-orbit coupling

Itinerant magnetic phases and quantum Lifshitz transitions in a three-dimensional repulsively interacting Fermi gas with spin-orbit coupling

Quantum magnetism of spinor bosons in optical lattices with synthetic non-Abelian gauge fields

Quantum Phases of Excitons and Their Detections in Electron-Hole Semiconductor Bilayer Systems

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