Quantum Field Theory of Many-Body Systems: From the Origin of Sound to an Origin of Light and Electrons

By Matthew Fisher. 2005

885 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry, Physical and Theoretical Chemistry

View Paper: https://www.semanticscholar.org/paper/4af2ad0286fdcada623274a9eb324baf37d170a8

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. R. Myers
2. T. Takayanagi
3. D. Gaiotto
4. T. Senthil
5. A. Kapustin
6. E. Witten
7. H. Casini
8. Ashvin Vishwanath

In Materials Chemistry

1. R. Myers
2. X. Wen
3. A. Kapustin
4. Peter Zoller
5. A. Nahum
6. Zohar Nussinov
7. Chong Wang
8. Cenke Xu

In Physical and Theoretical Chemistry

1. X. Wen
2. A. Kapustin
3. Peter Zoller
4. V. Cvetkovic
5. Zohar Nussinov
6. Chong Wang
7. D. Parker
8. M. B. Hastings

Citations in the corpus

• Deconfined quantum critical points: symmetries and dualities (2017, background): “To see the connection between deconfined criticality and these theories, we now review the construction of the π-flux state on the square lattice [70] and demonstrate that its low energy theory, QCD3, has an emergent SO(5) symmetry.”
• Gapless Symmetry-Protected Topological Order (2017, background): “These topological phases include long-range entangled systems [1, 2] with intrinsic topological order and bulk anyonic excitations, such as quantum Hall states or spin liquids [3].”
• Braiding Statistics and Link Invariants of Bosonic/Fermionic Topological Quantum Matter in 2+1 and 3+1 dimensions (2016, background): “However, a new paradigm beyond-Ginzburg-Landau-Wilson’s have emerged since the last three decades [6, 7].”
• Spin TQFTs and fermionic phases of matter (2015, background): “section 4 of [3] or the monograph [4]).”
• Quasiadiabatic continuation of quantum states: The stability of topological ground-state degeneracy and emergent gauge invariance (2005, background): “In the U ≫ |g| ≫ J1,2 > 0 limit, the true ground state is a superposition of many large closed strings [11, 19].”
• Exotic electronic states in the world of flat bands: From theory to material (2014, background): “In this section, we show that various many-body phases emerge from the FB depending on the interaction type.”
• Fermionic response from fractionalization in an insulating two-dimensional magnet (2016, background): “In one dimension, there is no such crisp distinction between Bose and Fermi statistics, as in the absence of true exchange processes, bosons with hardcore repulsion are rather similar to fermions obeying the Pauli principle; and on the other hand the roles of topology and order in two dimensions are”
• Machine learning phases of matter (2016, background): “Indeed, for some highly-coveted phases such as topologically-ordered states [1, 7], positive identification may require prohibitively expensive (and experimentally challenging [8]) measures such as the entanglement entropy [9, 10].”
• Symmetry Protected Topological phases of Quantum Matter (2014, background): “For instance in the so-called Fractional Topological Insulators[11–16] the bulk may be gapped but may develop what is known as intrinsic ‘topological order’ [17] familiar from studies of the fractional quantum Hall and quantum spin liquid phases.”
• Quantum Hall physics : Hierarchies and conformal field theory techniques (2016, background): “This led to the concept of topological order, which is central to the modern classification of phases of matter (Wen, 2004).”