We show that there is a fermionic minimal model, i.e., a 1+1D conformal field theory which contains operators of half-integral spins in its spectrum, for each c=1-6/m(m+1), m≥3. This generalizes the Majorana fermion for c=1/2, m=3 and the smallest N=1 supersymmetric minimal model for c=7/10, m=4. We provide explicit Hamiltonians on Majorana chains realizing these fermionic minimal models.
Download full-text PDF |
Source |
|---|---|
| http://dx.doi.org/10.1103/PhysRevLett.126.195701 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
Global Minimization of Electronic Hamiltonian 1-Norm via Linear Programming in the Block Invariant Symmetry Shift (BLISS) Method.
J Chem Theory Comput
January 2025
Chemical Physics Theory Group, Department of Chemistry, University of Toronto, Toronto, Ontario, Canada M5S 3H6.
The cost of encoding a system Hamiltonian in a digital quantum computer as a linear combination of unitaries (LCU) grows with the 1-norm of the LCU expansion. The Block Invariant Symmetry Shift (BLISS) technique reduces this 1-norm by modifying the Hamiltonian action on only the undesired electron-number subspaces. Previously, BLISS required a computationally expensive nonlinear optimization that was not guaranteed to find the global minimum.
View Article and Find Full Text PDFPair-Density-Wave Superconductivity: A Microscopic Model on the 2D Honeycomb Lattice.
Phys Rev Lett
October 2024
Institute for Advanced Study, Tsinghua University, Beijing 100084, China.
Pair-density wave (PDW) is a long-sought exotic state with oscillating superconducting order without external magnetic field. So far it has been rare in establishing a 2D microscopic model with PDW long-range order in its ground state. Here, we propose to study PDW superconductivity in a minimal model of spinless fermions (or spin-polarized electrons) on the honeycomb lattice with nearest-neighbor and next-nearest-neighbor interaction V_{1} and V_{2}, respectively.
View Article and Find Full Text PDFDeterminant- and Derivative-Free Quantum Monte Carlo Within the Stochastic Representation of Wavefunctions.
Rep Prog Phys
September 2024
Department of Chemical Physics, Tel Aviv University, School of Chemistry, Tel Aviv University, Tel Aviv 69978, Israel, Tel Aviv, 69978, ISRAEL.
Article Synopsis
- * The stochastic representation of wavefunctions (SRW) is a new method that addresses the stability issues of optimization in these systems but still has limitations in utilizing certain machine learning models.
- * Combining SRW with path integral techniques presents a novel approach that addresses these limitations and is demonstrated on interacting particles, providing insights into the balance between symmetry breaking and delocalization in closed-shell systems.
Minimal quantum heat pump based on high-frequency driving and non-Markovianity.
Phys Rev E
June 2024
Technische Universität Berlin, Institut für Theoretische Physik, Hardenbergstraße 36, 10623 Berlin, Germany.
We propose a minimal setup for a quantum heat pump consisting of two tunnel-coupled quantum dots, each hosting a single level and each being coupled to a different fermionic reservoir. The working principle relies on both non-Markovian system-bath coupling and driving-induced resonant coupling. We describe the system using a reaction-coordinate mapping in combination with Floquet-Born-Markov theory and characterize its performance.
View Article and Find Full Text PDFTopological heavy fermions in magnetic field.
Nat Commun
June 2024
National High Magnetic Field Laboratory, Tallahassee, FL, 32310, USA.
The recently introduced topological heavy fermion model (THFM) provides a means for interpreting the low-energy electronic degrees of freedom of the magic angle twisted bilayer graphene as hybridization amidst highly dispersing topological conduction and weakly dispersing localized heavy fermions. In order to understand the Landau quantization of the ensuing electronic spectrum, a generalization of THFM to include the magnetic field B is desired, but currently missing. Here we provide a systematic derivation of the THFM in B and solve the resulting model to obtain the interacting Hofstadter spectra for single particle charged excitations.
View Article and Find Full Text PDFWant AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!