Figure 1

(a) Density profiles of the SS phase for $(g,qa)=(45,0)$ and (b) the stripe phase for $(g,qa)=(37.5,1.05)$.Reuse & Permissions

Figure 2

Stability phase diagram in the $(g,qa)$ plane. The thin solid red, dashed blue, thick solid green, dotted blue, and dashed-dotted green lines represent the Landau critical velocity of the SF phase, Landau instability(LI) line of the SS phase, dynamical instability(DI) line of the SS phase, DI at the long-wavelength limit line of the stripe phase, and DI at finite $k$ line of the stripe phase, respectively. The SF phase is metastable in the region surrounded by the thin solid red line and the line with $qa=0$. The SS phase is metastable on the right side of the dashed blue line. There is no metastable stationary solution in the region not surrounded by any lines. Since we can not see the metastable region of the stripe phase in the present plot range, the magnified figure is shown in Fig. 3.Reuse & Permissions

Figure 3

Magnified view of the region near the stripe phase of Fig. 2. The stripe phase is metastable between the thin solid red line and the dotted blue and dashed-dotted green lines.Reuse & Permissions

Figure 4

(a) Excitation spectrum of the SS phase for $(g,qa)=(45,0)$. ${\epsilon }_0\equiv {\hslash }^2/m{a}^2$ is the energy unit. The coordinates of $\Gamma$, $M$, and $K$ points are given by $(0,0)$, $(2\pi /\sqrt{3}\lambda ,0)$, and $(2\pi /\sqrt{3}\lambda ,2\pi /3\lambda )$, where $\lambda$ is a lattice constant. Similar results have been shown in Ref. 21. (b) Excitation spectrum of the SS phase along $k_y=0$ for $(g,qa)=(45,1.17)$.Reuse & Permissions

Figure 5

Excitation spectrum along $k_y=0$ in the stripe phase for $(g,qa)=(37.5,1.05)$.Reuse & Permissions