Hyperlinking to open a Interface by Button

Can you describe in more detail what you want to achieve?

You cannot do that using button.

But what is the interface that you want to open? Is it a record Summary? Below is a code for opening external link. you can replace it with a!recordLink() if you are talking about opening a summary interface.

/*external URL*/
{
  a!cardLayout(
    contents: {
      a!richTextDisplayField(
        labelPosition: "COLLAPSED",
        value: {
          "Open Link"
        }
      )
    },
    link: a!safeLink(
      label: "Safe Link",
      uri: "https://community.appian.com/discussions",
      openLinkIn: "SAME_TAB"
    ),
    height: "AUTO",
    style: "TRANSPARENT",
    marginBelow: "STANDARD"
  )
}

/*Record Link*/
{
  a!cardLayout(
    contents: {
      a!richTextDisplayField(
        labelPosition: "COLLAPSED",
        value: { "Open Link" }
      )
    },
    link: a!recordLink(
      recordType: "Your record Type",
      identifier: "Primary_key_field",
      openLinkIn: "SAME_TAB"
    ),
    height: "AUTO",
    style: "TRANSPARENT",
    marginBelow: "STANDARD"
  )
}

I have these two button at my interface by which I want hyperlink to open another interface by clicking these button.

You can display interfaces on a conditional basis.

a!localVariables(
  local!selectedPage:3,
  {
    a!buttonArrayLayout(
      buttons: {
        a!buttonWidget(
          label: "Teachers",
          value: 1,
          saveInto: local!selectedPage,
          showWhen: not(contains(local!selectedPage,1))
        ),
        a!buttonWidget(
          label: "Student form",
          value: 2,
          saveInto: local!selectedPage,
          showWhen: not(contains(local!selectedPage,2))
        ),
        a!buttonWidget(
          label: "Back home",
          value: 3,
          saveInto: local!selectedPage,
          showWhen: not(contains(local!selectedPage,3))
        )
      }
    ),
    choose(
      local!selectedPage,
      a!sectionLayout(
        contents: a!richTextDisplayField(
          label: "Replace this component with your first interface"
        )
      ),
      a!sectionLayout(
        contents: a!richTextDisplayField(
          label: "Replace this component with your Second interface"
        )
      ),
      a!sectionLayout(
        contents: a!richTextDisplayField(
          label: "Replace this component with your Third interface"
        )
      )
    )
  }
)

Re-adjust the code according to your requirement. I would ask what does the student for show?

You can use card layout and there in the link option you can configure a!safeLink. In that link component you can see the parameter URL. Place your required interface's url in that option.