Classification of a Supersolid: Trial Wavefunctions, Symmetry Breakings and Excitation Spectra

Chen, Yu; Ye, Jinwu

doi:10.1007/s10909-012-0657-9

Cited by 13 publications

(16 citation statements)

References 67 publications

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“…Equation (1) with the 2D Rashba SOC term given by Eq. (36) may also describe a 2D bright exciton with total angular momentum J = ±1 in electron-hole semiconductor bilayer systems and electron pairings in 2D noncentrosymmetric superconductors [2][3][4]. It was known that in a 2D semiconductor electron gas, the 2D Rashiba SOC strength depends on the electric field, the presence of adatoms at the boundary, atomic weight, and atomic shells involved [2,5,6].…”

Section: Applications To 2d Superconductor and Semiconductor Systemsmentioning

confidence: 99%

“…Spin-orbit coupling (SOC) has played important roles in various condensed-matter systems, such as anomalous Hall effects [1], noncentrosymmetric superconductors with lifted spin degeneracy [2], and exciton superfluids in electron-hole semiconductor bilayers [3,4]. Recently, the investigation and control of SOC have become subjects of intensive research after the discovery of the topological insulators [5,6].…”

Section: Introductionmentioning

confidence: 99%

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Coherence lengths in attractively interacting Fermi gases with spin-orbit coupling

Liu

2014

Phys. Rev. A

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Extensive research has been lavished on the effects of spin-orbit couplings (SOCs) in attractively interacting Fermi systems in both neutral cold-atom systems and condensed-matter systems. Recently, it was suggested that a SOC drives a class of BCS to Bose-Einstein condensate (BEC) crossover that is different from the conventional one without a SOC. Here, we explore what are the most relevant physical quantities to describe such a BCS to BEC crossover and their experimental detections. We extend the concepts of the coherence length and "Cooper-pair size" in the absence of SOC to Fermi systems with SOC. We investigate the dependence of chemical potential, coherence length, and Cooper-pair size on the SOC strength and the scattering length at three dimensions (3D) (the bound-state energy at 2D) for three attractively interacting Fermi gases with 3D Rashba, 3D Weyl, and 2D Rashba SOC, respectively. We show that only the coherence length can be used to characterize this BCS to BEC crossover. Furthermore, it is the only length which can be directly measured by radio-frequency dissociation spectra type of experiments. We stress crucial differences among the coherence length, Cooper-pair size, and the two-body bound-state size. Our results provide the fundamental and global picture of the BCS to BEC crossover and its experimental detections in various cold-atom and condensed-matter systems.

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Section: Applications To 2d Superconductor and Semiconductor Systemsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Coherence lengths in attractively interacting Fermi gases with spin-orbit coupling

Liu

2014

Phys. Rev. A

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“…All these results suggest that with the decrease of particle size, the CO state is suppressed and then T CO and magnetization begin to decrease. The decrease of T CO and magnetic moment is closely related to the melting of CO phase [15][16][17]. The CE-type antiferromagnetic phase induced by charge ordering is a stable magnetic structure [16,17], which is usually difficult to be interfered by external electric and magnetic fields and other external factors.…”

Section: Resultsmentioning

confidence: 99%

Structure, charge ordering, and magnetic properties of perovskite Sm0.5Ca0.5MnO3 manganite

Wang

Zhang

et al. 2020

J Mater Sci: Mater Electron

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Half-doped perovskite Manganese oxide has been widely studied because of its excellent properties such as colossal magnetoresistance (CMR) effect and charge-ordered (CO) phase separation. In this work, four Sm 0.5 Ca 0.5 MnO 3 samples with different particle sizes are prepared by high-temperature solid-state reaction and ball milling. The crystal structure of the samples is studied by X-ray diffraction (XRD). The Sm 0.5 Ca 0.5 MnO 3 sample is single phase, which belongs to orthorhombic structure. The surface morphology and particle size of the samples are examined by scanning electron microscope (SEM). The average particle size of the sample without ball milling is about 4 μm. With ball milling time for 12 h, 24 h, and 36 h, the particle size decreases, and finally it reaches hundreds to tens of nanometers. This shows that ball milling is an effective way to control the particle size. The M-T curves and M-H hysteresis loops of the samples are measured by physical properties measurements systems (PPMS). The two M-T curves measured in the warming and cooling processes do not overlap for Sm 0.5 Ca 0.5 MnO 3 without ball milling, and the phenomenon of thermal hysteresis appears. Meanwhile, the M-T curve has a significant protuberance peak near 270 K. All of these indicate the CO behavior, whereas the particle size of Sm 0.5 Ca 0.5 MnO 3 decreases with different milling times (12-36 h) and the CO phase is suppressed gradually, which leads to the decrease of CO temperature, magnetization, remanence, and coercivity.

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“…[ 14,15 ] Additionally, the spin–orbit coupled ultracold atomic gas has also opened new aspects in the supersolid phenomena. [ 16,17 ] It was demonstrated that an ultracold atomic condensate of hard‐core bosons with contact interaction in the presence of simultaneously spin–orbit coupling and a spin‐dependent periodic potential can establish a supersolid phase. [ 18 ]…”

Section: Introductionmentioning

confidence: 99%

Effects of Thermally Induced Roton‐Like Excitation on the Superfluid Density of a Quasi‐2D Dipolar Bose Condensed Gas

Yavari

Forouharmanesh

2020

Annalen der Physik

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Using the Green's function approach, the density–density correlation function and the dielectric function in the random‐phase approximation for a quasi‐two‐dimensional (quasi‐2D) dipolar Bose gas are derived. From the pole of the density correlation function, by considering thermally induced roton‐like excitations, the excitation spectrum of the system is calculated. It is shown that the position and depth of the roton minimum of the excitation spectrum are tunable by changing the temperature. To show how the position of the roton minimum influences the phenomenon of superfluidity, the superfluid density of the system is obtained and it is shown that the interplay of the thermal rotonization, contact and dipole–dipole interaction (DDI) can affect the superfluid fraction of a quasi‐2D Bose gas. It is found that contact, DDI interactions, and thermally induced rotons enhance the fluctuations and reduce the superfluid density. In the absence of DDI and thermally induced rotons, the usual T3 dependence of superfluid density in 2D is obtained and the correction T4 term arises from DDI. It is shown that if the roton minimum is close to zero, the thermally induced rotons change the linear temperature dependence of the superfluid fraction, leading to a transition to nontrivial supersolid phase.

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Classification of a Supersolid: Trial Wavefunctions, Symmetry Breakings and Excitation Spectra

Cited by 13 publications

References 67 publications

Coherence lengths in attractively interacting Fermi gases with spin-orbit coupling

Coherence lengths in attractively interacting Fermi gases with spin-orbit coupling

Structure, charge ordering, and magnetic properties of perovskite Sm0.5Ca0.5MnO3 manganite

Effects of Thermally Induced Roton‐Like Excitation on the Superfluid Density of a Quasi‐2D Dipolar Bose Condensed Gas

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