# Field Theories of Condensed Matter Physics

@inproceedings{Fradkin2010FieldTO, title={Field Theories of Condensed Matter Physics}, author={Eduardo Fradkin}, year={2010} }

1. Introduction 2. The Hubbard model 3. The magnetic instability of the Fermi system 4. The renormalization group and scaling 5. One-dimensional quantum antiferromagnets 6. The Luttinger liquid 7. Sigma models and topological terms 8. Spin liquid states 9. Gauge theory, dimer models, and topological phases 10. Chiral spin states and anyons 11. Anyon superconductivity 12. Topology and quantum Hall effect 13. The fractional quantum Hall effect 14. Topological fluids 15. Physics at the edge 16…

## 495 Citations

Topological order, symmetry, and Hall response of two-dimensional spin-singlet superconductors

- Physics
- 2017

The interplay between symmetry and topology is one of the most exciting avenues of modern condensed matter research. Here, the authors propose a new and unified approach for describing the low-energy…

Topology, geometry and quantum interference in condensed matter physics

- Physics
- 2017

The methods of quantum field theory are widely used in condensed matter physics. In particular, the concept of an effective action was proven useful when studying low temperature and long distance…

Confined Phases of One-Dimensional Spinless Fermions Coupled to Z_{2} Gauge Theory.

- Medicine, PhysicsPhysical review letters
- 2020

This work investigates a quantum many-body lattice system of one-dimensional spinless fermions interacting with a dynamical Z_{2} gauge field and develops an exactly solvable effective theory of bosonic dimers with emergent constraints at strong coupling.

Physics ) TITLE : A model for a Fractionalized Quantum Spin Hall Effect

- 2017

Effects of electron correlations on a two dimensional quantum spin Hall system are studied. We examine possible phases of a generalized Hubbard model on a bilayer honeycomb lattice with a spin-orbit…

Renormalization group study of interaction-driven quantum anomalous Hall and quantum spin Hall phases in quadratic band crossing systems

- Physics
- 2014

It is shown that topological insulating phases driven by interactions can be realized without the need for spin-orbit coupling or large intersite interaction in a two-dimensional system of spin-1/2…

A short guide to topological terms in the effective theories of condensed matter

- Physics, MedicineScience and technology of advanced materials
- 2015

This article takes up several prominent examples, mainly from the area of quantum magnetism and superfluids/superconductors, and briefly discusses how these ideas are now finding incarnations in the studies of symmetry-protected topological phases.

Three-dimensional topological insulators and bosonization

- Physics
- 2016

A bstractMassless excitations at the surface of three-dimensional time-reversal invariant topological insulators possess both fermionic and bosonic descriptions, originating from band theory and…

A Study of Asymptotic Freedom for Topological Insulator

- Physics
- 2018

We study and present the results of quantum Berezinskii-Kosterlitz-Thouless (BKT) transition for interacting helical liquid system at the edge of topological insulator. We present results for…

On the Dynamics of Phase Transitions in Relativistic Scalar Field Theory

- Astronomy Reports
- 2021

Abstract We study the Kibble–Zurek scaling dynamics and universal second order phase transitions in a relativistic scalar field theory in 1 + 1 dimensions. Using tensor networks techniques as a…

Exact solutions of topological superconductor model with Hubbard interactions

- Physics
- 2021

Abstract We study a two-dimensional model of topological superconductor with equal spin pairing and repulsive Hubbard interaction. When the pairing gap equals to the hopping constant, half of the…

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