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Shoppers need to go to Tesco.com to download the app for iPhone and Android handsets.
The app allows people to add products to an online basket, book a delivery slot and make a payment. Delivery dates are limited to a maximum of three weeks from booking.
The shopping baskets are processed in the same way as on the Tesco.com site.
The supermarket said it had decided to have customers order via screens rather than directly via the app to make sure they bought everything they needed.
"The browsing means that people are reminded of other things they need as they search the fridge and cupboard shelves, as they would do in a real store." Tesco told ZDNet.
"This also is likely to target a younger audience, as in Korea, the 'digital natives' who see little difference between stores and websites," it added.
Tesco developed the smartphone app in-house. Its mobile engineering team used the iPhone SDK and Objective C for the Apple handset, and the Android SDK.
Other British supermarkets have come out with grocery shopping apps, though none has set up interactive displays. Most do not use barcode scanning, apart from online grocer Ocado, which has an Android app with barcode scanner for home use.
The displays have 70-inch interactive screens capable of touch, mobile and augmented-reality interaction, according to Tesco.
The 6-feet-tall displays feature Eye's Interactive Digital Eyelites, which run on software and analytics developed by Monster Media.