Momentum space topology and quantum phase transitions
G. E. Volovik
Abstract
Many quantum condensed-matter systems, and probably the quantum vacuum of our Universe, are strongly correlated and strongly interacting fermionic systems, which cannot be treated perturbatively. However, physics which emerges in the low-energy does not depend on the complicated details of the system and is relatively simple. It is determined by the nodes in the fermionic spectrum, which are protected by topology in momentum space (in some cases, in combination with the vacuum symmetry). Here we illustrate this universality on some examples of quantum phase transitions, which can occur between the vacua with the same symmetry but with diferent topology in momentum space. The quantum phase transitions between the fully gapped states with different momentum-space topology are also discussed.
Create a lesson
Related papers
Hidden entropic order of emergent charges in a classical Ampère spin liquid
H. Diego Rosales, Emma M. Bizot, Flavia A. Gómez Albarracín et al.
Stability of energy gap of macroscopic quantum matter
Kangle Li, Liujun Zou
Field evolution of the multi-k magnetic states in NdB4 revealed by neutron diffraction
D. Brunt, N. Qureshi, E. Chan et al.
Interplay between Spin Stripes and Pairing Crossover in the Bilayer Hubbard Model
Zixuan Jia, Xuelei Sui, Shijie Hu et al.
Ni ordering in the van der Waals gap of Ni-intercalated 2H-NbS2: from disorder through 2×2 and 3×3 order to stripe order
Naveen Singh Dhami, Ricardo Guillermo Torres Ramirez, Gaurav Pransu et al.
Resonantly interacting 2e/3 anyons: a controlled microscopic theory of anyon superconductivity
Qingchen Li, Pavel A. Nosov, Zhaoyu Han et al.